Current and Future Trends in Stochastic Thermodynamics
from
Monday, 4 September 2017 (09:00)
to
Friday, 29 September 2017 (18:00)
Monday, 4 September 2017
09:00
Registration / Coffee & Cake
Registration / Coffee & Cake
09:00  11:00
Room: 122:026
14:00
Efficiency, power and dissipation of thermal machines

Bart Cleuren
(
Hasselt University
)
Efficiency, power and dissipation of thermal machines
Bart Cleuren
(
Hasselt University
)
14:00  15:00
Room: 122:026
We consider the performance characteristics of thermal engines. Efficiency at maximum power is discussed in a general setting. In particular, it is demonstrated how successive symmetries placed upon the dynamics manifest themselves at the macroscopic level. A general condition is derived under which thermodynamic devices are able to attain a reversible operation. Second, we derive general relations between maximum power, maximum efficiency, and minimum dissipation regimes from linear irreversible thermodynamics.
Tuesday, 5 September 2017
09:45
Gym Introduction
Gym Introduction
09:45  10:15
Room: Gym
14:00
Experiments on thermodynamics, information, and control using a feedback trap

John Bechhoefer
(
Simon Fraser University
)
Experiments on thermodynamics, information, and control using a feedback trap
John Bechhoefer
(
Simon Fraser University
)
14:00  15:00
Room: 122:026
We report experiments that test aspects of the interplay among thermodynamics, information theory, and control. Our goal is to explore the issues raised historically by Maxwell, Szilard, Landauer, Bennett, which have found renewed interest after the development of stochastic thermodynamics. Our setup consists of a timedependent, “virtual” doublewell potential created by a feedback loop that is much faster than the relaxation time of the particle. Focusing on tests of Landauer’s principle of erasure, we extend Landauer's original scenario to cases where less than a full bit of information is erased. We show experimentally that the appropriate thermodynamic definition of a nonequilibrium system connected to a heat bath is given by the GibbsShannon entropy function, evaluated over nonequilibrium probabilities. We also present preliminary results showing how our setup can be modified to model a combined system for work extraction and measurement.
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Wednesday, 6 September 2017
10:00
Experiments on quantum heat transport in electric circuits

Jukka Pekola
(
Aalto University
)
Experiments on quantum heat transport in electric circuits
Jukka Pekola
(
Aalto University
)
10:00  11:00
Room: 122:026
I start by describing how heat currents can be measured in electrical circuits in a low temperature environment. Then I move to two current experiments. The first one is on electronic heat transport through a singleelectron transistor, where WiedemannFranz law is not obeyed due to Coulomb interaction and quantum processes. The second experiment is on photonic heat transport through a superconducting qubit, where the system acts as an open quantum system with either the qubitresonator or the resonatorbath coupling acting as the weak coupling.
14:00
How to detect irreversibility from timeseries

Dhrubaditya Mitra
How to detect irreversibility from timeseries
Dhrubaditya Mitra
14:00  15:00
Room: 122:026
If you look at movies of a tracer particle advected by a turbulent flow and its timereversed version the two movies look very similar, although the system is not in equilibrium but in nonequilibrium stationary state. Can one detect that the system is indeed irreversible from this time series? This curious question has been address by several recent publications who proposed that the irreversibility manifests itself in the following way: the tracer takes long to accelerate but decelerates quickly. This has been quantified by looking at the third moment of two random variables, the power and the increment of energy over a timescale $\tau$, defined by $W(\tau) = E(t+\tau)  E(t) $. The PDF of both of these random variables are shown to be negatively skewed. Here we extend this result to heavy inertial particles (for example water droplets in atmosphere) who follow a dissipative dynamics. We show that for the heavy inertial particles the same measure of irreversibility works. In addition, we propose a new measure : The PDF of time over which the power keeps the same sign. The tail of such PDFs are found to be exponential hence we can define a characteristic time scale of gain and loss of energy. The characteristic time scale of gain is slow compared to the time scale of loss.
17:00
Reception
Reception
17:00  20:00
Room: 122:026
Thursday, 7 September 2017
10:00
Reconstructing surfaces with the Jarzynski relation

Astrid de Wijn
(
NTNU
)
Reconstructing surfaces with the Jarzynski relation
Astrid de Wijn
(
NTNU
)
10:00  11:00
Room: 122:026
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Friday, 8 September 2017
10:00
Timereversal symmetry and response for systems in a constant external magnetic field

Lamberto Rondoni
(
Politecnico di Torino
)
Timereversal symmetry and response for systems in a constant external magnetic field
Lamberto Rondoni
(
Politecnico di Torino
)
10:00  11:00
Room: 122:026
The timereversal properties of charged systems in a constant external magnetic field are reconsidered, showing that the evolution equations are invariant under novel symmetry operations that imply new signature properties for timecorrelation functions under time reversal. Such symmetry relations do not require that the magnetic field be reversed, which makes them applicable to material properties of a single system, rather than of two distinct physical situations. This implies, that OnsagerCasimir relations may be replaced by Onsager reciprocal relations even in the presence of a constant magnetic field, or of mechanically analogous situations. These findings determine, for example, null components of the correlation functions of velocities and currents and of the associated transport coefficients. The theory is developed for both classical and quantum systems, in analogy to Kubo's approach, but the quantum mechanical version leads to new intriguing questions. The theoretical predictions are then illustrated by molecular dynamics simulations of superionic AgI.
16:15
Wonders of viscous electronics in graphene [Nordita Seminar]

Gregory Falkovich
(
Weizmann Institute
)
Wonders of viscous electronics in graphene [Nordita Seminar]
Gregory Falkovich
(
Weizmann Institute
)
16:15  17:15
Room: FA32
Saturday, 9 September 2017
Sunday, 10 September 2017
Monday, 11 September 2017
09:00
Registration / Coffee & Cake
Registration / Coffee & Cake
09:00  10:00
Room: 122:026
10:00
On the value of acquired information in gambling, evolution and thermodynamics

Luca Peliti
(
University "Federico II", Naples
)
On the value of acquired information in gambling, evolution and thermodynamics
Luca Peliti
(
University "Federico II", Naples
)
10:00  11:00
Room: 122:026
The connection between the information value of a message and capital gain was made by Kelly in 1956. In 1965 Kimura tried to evaluate the rate of information intake by a population undergoing Darwinian evolution by equating it with the substitutional load. Recently, the analogy between Kelly's scheme and work extraction was pointed out in the context of stochastic thermodynamics. I shall try to connect these threads, highlighting analogies and differences between the meaning of information and its value in the different contexts.
14:00
Autonomous thermal motors

Alberto Imparato
(
Aarhus University
)
Autonomous thermal motors
Alberto Imparato
(
Aarhus University
)
14:00  15:00
Room: 122:026
We present a minimal model of an autonomous thermal motor, made of two interacting Brownian particles, sitting on two periodic potentials, and kept at different temperatures. We show that such a system does not require ratchet potentials (with, e.g., an asymmetric sawtooth shape) in order to exhibit direct transport, but presents a spontaneous symmetry breaking. Both the dynamic and thermodynamic properties of the model are discussed. We find that while the model can be solved exactly in the limit of strong coupling between the particles, the optimal operation regime occurs at moderate coupling strength. Furthermore we introduce a model with discrete phase space which captures the essential features of the continuous model and can be solved in the limit of weak coupling.
Tuesday, 12 September 2017
10:00
On large deviations in non equilibrium systems

Bernard Derrida
(
College de France
)
On large deviations in non equilibrium systems
Bernard Derrida
(
College de France
)
10:00  11:00
Room: 122:026
14:00
Jam Session
Jam Session
14:00  16:30
Room: 122:026
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Wednesday, 13 September 2017
10:00
Non equilibrium states with temperature profiles in (1+1)dimensional Conformal Field Theory

Krzysztof Gawedzki
(
Laboratoire de Physique, ENS de Lyon FRANCE
)
Non equilibrium states with temperature profiles in (1+1)dimensional Conformal Field Theory
Krzysztof Gawedzki
(
Laboratoire de Physique, ENS de Lyon FRANCE
)
10:00  11:00
Room: 122:026
Many onedimensional quantum systems possess phases with lowenergy excitations described by Conformal Field Theory. Examples are carbon nanotubes, quantum Hall edge currents or XXZ spinchains. Since (1+1)d conformal transformations can map homogeneous systems to nonhomogeneous ones, CFT may be employed to describe certain nonequilibrium situations. I shall discuss how it explains and generalizes the recent results of LangmannLebowitzMastropietroMoosavi, Phys. Rev. B 95, 235142 (2017), about the dynamics of states with a preimposed temperature profile in the Luttinger model of 1d electrons.
14:00
Information theoretic analysis of the directional influence between cellular processes

David Lacoste
(
ESPCI
)
Information theoretic analysis of the directional influence between cellular processes
David Lacoste
(
ESPCI
)
14:00  15:00
Room: 122:026
Inferring the directionality of interactions between cellular processes is a major challenge in systems biology. Timelagged correlations allow to discriminate between alternative models, but they still rely on assumed underlying interactions. Here, we show that an informationtheoretic quantity, the transfer entropy (TE), quantifies the directional influence between fluctuating variables in a modelfree way. We present a theoretical approach to compute the transfer entropy, even when the noise has an extrinsic component or in the presence of feedback. We reanalyze the experimental data from Kiviet et al. (2014) [1], where fluctuations in gene expression of metabolic enzymes and growth rate have been measured in single cells of Escherichia coli. We confirm the formerly detected modes between growth and gene expression, while prescribing more stringent conditions on the structure of noise sources [2]. Time permitting, I will also present a different project related to the kinetics and thermodynamics of reversible polymerization. More specifically, we are interested in the relaxation dynamics of information carrying polymers undergoing reversible exchange reactions [3]. [1] Stochasticity of metabolism and growth at the singlecell level, D. J. Kiviet et al., Nature, 514, 376 (2014). [2] Information theoretic analysis of the directional influence between cellular processes, S. Lahiri et al., PLOS ONE, under review (2017) [3] Length and sequence relaxation of copolymers under recombination reactions, A. Blokhuis and D. Lacoste, J. Chem. Phys., in press (2017)
17:00
Reception
Reception
17:00  20:00
Room: 122:026
Thursday, 14 September 2017
10:00
Eigenselection and Quantum Thermodynamics

Ryoichi Kawai
(
University of Alabama at Birmingham
)
Eigenselection and Quantum Thermodynamics
Ryoichi Kawai
(
University of Alabama at Birmingham
)
10:00  11:00
Room: 122:026
Thermodynamics of nanosized systems interacting with environments must take into account quantum effects such as systemenvironment entanglement and environmentinduced decoherence, in particular when the coupling with the environments is strong. In a typical thermodynamics scenario, a nonequilibrium system state relaxes to a unique equilibrium state (Gibbs state) whose density matrix is diagonal in the system energy eigenbasis, indicating that coherence among the energy eigenstates is entirely lost. It has been shown that such a kind of decoherence is limited to the weak coupling. When the coupling is strong, the system may reach a steady state where decoherence takes a place in different basis sets. The steady state may not be unique. The situation is even more complicated when the dynamics is not Markovian. Decoherence has been intensively investigated in other fields of physics, namely quantum measurement theory and quantum computing. In the present talk, I will attempt to relate some thermodynamic behaviors, such as relaxation, heat conduction, and heat engine, to such decoherence theory and demonstrate it using nonMarkovian open quantum mechanics approach. Some purely quantum effects such as the disappearance of heat conduction due to quantum Zeno effect will be discussed.
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Friday, 15 September 2017
Saturday, 16 September 2017
Sunday, 17 September 2017
Monday, 18 September 2017
09:00
Registration / Coffee & Cake
Registration / Coffee & Cake
09:00  11:00
Room: 122:026
14:00
Infomax Strategies for an Optimal Balance Between Exploration and Exploitation

Antonio Celani
(
ICTP, Quantitative Life Sciences Unit
)
Infomax Strategies for an Optimal Balance Between Exploration and Exploitation
Antonio Celani
(
ICTP, Quantitative Life Sciences Unit
)
14:00  15:00
Room: 122:026
Proper balance between exploitation and exploration is what makes good decisions that achieve high reward, like payoff or evolutionary fitness. The Infomax principle postulates that maximization of information directs the function of diverse systems, from living systems to artificial neural networks. While specific applications turn out to be successful, the validity of information as a proxy for reward remains unclear. Here, we consider the multiarmed bandit decision problem, which features arms (slotmachines) of unknown probabilities of success and a player trying to maximize cumulative payoff by choosing the sequence of arms to play. We show that an Infomax strategy which optimally gathers information on the highest probability of success among the arms, saturates known optimal bounds and compares favorably to existing policies. Conversely, gathering information on the identity of the best arm in the bandit leads to a strategy that is vastly suboptimal in terms of payoff. The nature of the quantity selected for Infomax acquisition is then crucial for effective tradeoffs between exploration and exploitation.
Tuesday, 19 September 2017
10:00
Stochastic Chemical Reaction Networks in the DoiPeliti representation

Supriya Krishnamurti
(
SU
)
Stochastic Chemical Reaction Networks in the DoiPeliti representation
Supriya Krishnamurti
(
SU
)
10:00  11:00
Room: 122:026
Models of Chemical Reaction Networks (CRN's) are ubiquitous in several fields. Earlier results identify a class of such networks which have a unique factorized steadystate. For networks not belonging to this class, however, not much is known. We present a general formalism to describe such networks using the DoiPeliti representation combined with CRN theory, which helps in both deriving a particularly simple representation of the hierarchy of moments, as well as solving them using different techniques. We also comment on Nonequilibrium Work relations in the context of CRN's.
13:30
Jam Session
Jam Session
13:30  16:30
Room: 122:026
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Wednesday, 20 September 2017
10:00
Thermodynamics of Work in Quantum Systems

Tapio AlaNissilä
(
Aalto University, Finland, and Loughborough University, UK
)
Thermodynamics of Work in Quantum Systems
Tapio AlaNissilä
(
Aalto University, Finland, and Loughborough University, UK
)
10:00  11:00
Room: 122:026
Definition and measurement of work done on a driven quantum system remains a major challenge in quantum thermodynamics. For closed systems, the standard way to define work is to consider the twomeasurement protocol (TMP), where the system is measured at the beginning and end of the drive leading to wave function collapse (loss of quantum coherence) to an energy eigenstate. For open systems, the stochastic mapping to the Lindblad master equation and its unraveling by quantum jumps offers a powerful way to define and calculate thermodynamics of work and the related fluctuation relations within the TMP [1]. However, for quantum systems with coherence it has recently been shown that it is impossible to define a work operator that satisfies proper physical requirements (the "nogo" theorem) [2]. To this end, we propose a novel way to define work based on the HamiltonJacobi formulation of quantum mechanics, which allows to define phase space trajectories with welldefined energy for any wave function [3]. We illustrate this approach by explicit calculations for a driven quantum harmonic oscillator. 1. S. Suomela, J. Salmilehto, I.G. Savenko, T. AlaNissila, and M. Mottonen, Phys. Rev. E 91, 022126 (2016). 2. M. PerarnauLlobet, E. Baumer, K.V. Hovhannisyan, M. Huber, and A. Acin, Phys. Rev. Lett. 118, 070601 (2017). 3. R. Sampaio, S. Suomela, T. AlaNissila, J. Anders, and Th. Philbin, https://arxiv.org/abs/1707.06159(2017).
14:00
Generic properties of stochastic entropy production

Simone Pigolotti
(
Okinawa Institute of Science and Technology (OIST)
)
Generic properties of stochastic entropy production
Simone Pigolotti
(
Okinawa Institute of Science and Technology (OIST)
)
14:00  15:00
Room: 122:026
Entropy production is a central quantity in stochastic thermodynamics, satisfying the fluctuation relations under very general conditions. Recently, new (and surprising) generic properties of entropy production have been discovered, such as uncertainty inequalities and the "infimum law". It is unclear if there are even more generic properties of entropy production, and how these properties are related. In this talk, I will present a general theory for nonequilibrium physical systems described by overdamped Langevin equations. For these system, entropy production evolves according to a simple stochastic differential equation, which depends on the underlying physical model. However, at steady state, a random time transformation maps this evolution into a modelindependent form. This implies several generic properties for the entropy production, such as a finitetime uncertainty equality, universal distributions of the infimum and the supremum before the infimum, and universal distribution of the number of zerocrossings. I will conclude with generalizing some of the results to systems out of steady state. Ref. Pigolotti, Neri, Roldán, Jülicher, under revision (arXiv:1704.04061).
17:00
Reception
Reception
17:00  20:00
Room: 122:026
Thursday, 21 September 2017
10:00
Thermodynamics and Information at the nanoscale

Janet Anders
(
University of Exeter
)
Thermodynamics and Information at the nanoscale
Janet Anders
(
University of Exeter
)
10:00  11:00
Room: 122:026
Thermodynamic laws have been key for the design of useful everyday devices from car engines and fridges to power plants and solar cells. Technology’s continuing miniaturisation to the nanoscale is expected to soon enter regimes where standard thermodynamic laws do not apply. I will give an introduction to quantum thermodynamics  the emerging research field that aims to uncover the thermodynamic laws that govern small ensembles of systems that follow nonequilibrium dynamics and can host quantum properties [1]. I will discuss a nanoscale thermodynamic experiment with heated optically trapped nanospheres in a dilute gas [2]. By developing a new theoretical model that captures the nonequilibrium situation of the particles, we were able to measure the surface temperature of the trapped spheres and observe temperature gradients on the nanoscale. In the second part of the talk I will discuss recent theoretical advances in defining thermodynamic work in the quantum regime. By introducing a process that removes quantum coherences we were able to show that work cannot only be extracted from classical nonequilibrium systems, additional work can be extracted from quantum coherences [3]. [1] Quantum thermodynamics, S. Vinjanampathy, J. Anders, Contemporary Physics 57, 545 (2016). [2] Nanoscale temperature measurements using nonequilibrium Brownian dynamics of a levitated nanosphere, J. Millen, T. Deesuwan, P. Barker, J. Anders, Nature Nanotechnology 9, 425 (2014). [3] Coherence and measurement in quantum thermodynamics, P. Kammerlander, J. Anders, Scientific Reports 6, 22174 (2016).
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Friday, 22 September 2017
10:00
Thermodynamic structures in adaptation and evolution of growing populations

Tetsuya Kobayashi
(
University of Tokio, Institute of Industrial Science
)
Thermodynamic structures in adaptation and evolution of growing populations
Tetsuya Kobayashi
(
University of Tokio, Institute of Industrial Science
)
10:00  11:00
Room: 122:026
Fitness, defined by the longterm growth of a population, is the central quantity that characterizes the evolutionary success of the population macroscopically. The innovations of singlecell imaging and longterm tracking techniques have revealed a huge heterogeneities in populations of cells, and also enabled us to investigate how microscopic behaviors of the single cells are linked to the macroscopic properties of the population, including fitness. In addition, it has been revealed that the problem of the adaptation and evolution of growing populations shares a lot with the information thermodynamics and the steady state thermodynamics, suggesting that we can use the knowledge in these fields for understanding the evolution. In this talk, I attempt to outline how the problems of evolution and thermodynamics are related. By highlight their similarities and differences, I am going to show the open problems and challenges in the evolution and adaptation at the cellular level.
Saturday, 23 September 2017
Sunday, 24 September 2017
Monday, 25 September 2017
09:00
Registration / Coffee & Cake
Registration / Coffee & Cake
09:00  10:00
Room: 122:026
10:00
Linear and nonlinear thermodynamics of a kinetic heat engine with fast transformations

Angelo Vulpiani
(
Dipartimento di Fisica, Universita' Sapienza
)
Linear and nonlinear thermodynamics of a kinetic heat engine with fast transformations
Angelo Vulpiani
(
Dipartimento di Fisica, Universita' Sapienza
)
10:00  11:00
Room: 122:026
We investigate a kinetic heat engine model constituted by particles enclosed in a box where one side acts as a thermostat and the opposite side is a piston exerting a given pressure. Pressure and temperature are varied in a cyclical protocol of period $\tau$ and their relative excursions $\delta$ and $\epsilon$ respectively, constitute the thermodynamic forces dragging the system outofequilibrium. The analysis of the entropy production of the system allows to define the conjugated fluxes, which are proportional to the extracted work and the consumed heat. The dynamics of the piston can be approximated, through a coarsegraining procedure, by a KleinKramers equation which  in the linear regime  yields analytic expressions for the Onsager coefficients and the entropy production. A study of the efficiency at maximum power shows that the Curzon Ahlborn formula is always an upper limit which is approached at increasing values of the thermodynamic forces, i.e. outside of the linear regime.
14:00
A protocol for reaching equilibrium arbitrary fast

Sergio Ciliberto
(
ENSLyon
)
A protocol for reaching equilibrium arbitrary fast
Sergio Ciliberto
(
ENSLyon
)
14:00  15:00
Room: 122:026
When a control parameter of a system is suddenly changed, the accessible phase space changes too and the system needs its characteristic relaxation time to reach the final equilibrium distribution. An important and relevant question is whether it is possible to travel from an equilibrium state to another in an arbitrary time, much shorter than the natural relaxation time. Such strategies are reminiscent of those worked out in the recent field of Shortcut to Adiabaticity, that aim at developing protocols, both in quantum and in classical regimes, allowing the system to move as fast as possible from one equilibrium position to a new one, provided that there exist an adiabatic transformation relating the two. Proof of principle experiments have been carried out for isolated systems. Instead in open system the reduction of the relaxation time, which is frequently desired and necessary, is often obtained by complex feedback processes. In this talk, we present a protocol,named Engineered Swift Equilibration (ESE), that shortcuts timeconsuming relaxations, We tested experimentally this protocol on a Brownian particle trapped in an optical potential first and then on an AFM cantilever. We show that applying a specific driving, one can reach equilibrium in an arbitrary short time. We also estimate the energetic cost to get such a time reduction. Beyond its fundamental interest, the ESE method paves the way for applications in micro and nano devices, in high speed AFM, or in monitoring mesoscopic chemical or biological process. References: (1) Engineered Swift Equilibration, Ignacio A Martinez; Artyom Petrosyan; David GuryOdelin; Emmanuel Trizac; Sergio Ciliberto, Nature Physics, Vol 12, 843 (2016). (2) Arbitrary fast modulation of an atomic force microscope, Anne Le Cunuder; Ignacio A Martinez; Artyom Petrosyan; David GuryOdelin; Emmanuel Trizac; Sergio Ciliberto. Applied Physics Letters, 109, 113502 (2016)
Tuesday, 26 September 2017
10:00
The thermodynamic uncertainty relation

Udo Seifert
(
University of Stuttgart
)
The thermodynamic uncertainty relation
Udo Seifert
(
University of Stuttgart
)
10:00  11:00
Room: 122:026
The thermodynamic uncertainty relation conjectured in 2015 [1] and proven using large deviation theory in 2016 [2] provides a universal constraint relating mean and dispersion of any current in a driven system with the overall entropy production. I will first introduce the basic concepts behind this relation and then discuss a few of its applications. Prominent amomg those are a universal modelfree bound on the efficiency of molecular motors [3] and insight into the current debate whether or not heat engines can approach Carnot efficiency at finite power [4]. Stronger versions of this bound require knowledge of the underlying topology and driving affinities of the network [5]. [1] A. C. Barato and U.S., Phys. Rev. Lett. 114, 158101, 2015 [2] T. R. Gingrich, et al, Phys. Rev. Lett. 116, 120601, 2016 [3] P. Pietzonka, A. C. Barato, and U.S., J. Stat. Mech., 124004, 2016 [4] P. Pietzonka and U.S., arxiv 1705.05817. [5] P. Pietzonka, A. C. Barato, and U. Seifert J Phys A, 49, 34LT01, 2016
14:00
14:00  16:30
Room: 122:026
17:30
Kettlebell training
Kettlebell training
17:30  18:00
Room: Gym
Wednesday, 27 September 2017
10:00
Tracer particles in twodimensional elastic networks diffuse logarithmically slow

Michael Lomholt
(
University of Southern Denmark
)
Tracer particles in twodimensional elastic networks diffuse logarithmically slow
Michael Lomholt
(
University of Southern Denmark
)
10:00  11:00
Room: 122:026
I will discuss the long time asymptotic behavior of a tagged particle in systems where the particles are stuck with their neighbors. In one dimension this corresponds to singlefile diffusion, where the mean squared displacement of a particle grows with the square root of time. In two dimensions it turns out that the mean square displacement grows logarithmically, and above two dimensions the motion of the particle is bounded. I will show how one can arrive at these results through an approach called harmonization.
14:00
Stochastic thermodynamics with a timedependent systembath coupling

Erik Aurell
(
KTH
)
Stochastic thermodynamics with a timedependent systembath coupling
Erik Aurell
(
KTH
)
14:00  15:00
Room: 122:026
Stochastic thermodynamics in Sekimoto's formulation is based on a division of the world into three parts: the System, the External System, which can influence the System by modifying the System's potential energy, and the Bath. Usually the systembath coupling is taken constant, but one could also imagine that this depends explicity on time. Does such a change lead to heat or change in internal energy (or both)? I will discuss such issues and the motivation which led me to it, problems in an approach to quantum heat.
Thursday, 28 September 2017
17:00
Kettlebell training
Kettlebell training
17:00  17:30
Room: Gym
Friday, 29 September 2017