Name: Stochastic Thermodynamics
Start: 2013-03-04T08:00:00+01:00
End: 2013-03-15T18:00:00+01:00
Location: No location set

Stochastic Thermodynamics

from Monday, March 4, 2013 (8:00 AM) to Friday, March 15, 2013 (6:00 PM)

Monday, March 4, 2013
10:00 AM Small Systems: a challenge for the Statistical Mechanics - Angelo Vulpiani (Dep. of Physics, Universita Sapienza di Roma)
Small Systems: a challenge for the Statistical Mechanics
- Angelo Vulpiani (Dep. of Physics, Universita Sapienza di Roma)
10:00 AM - 11:00 AM
Room: 132:028 The energy of a finite system thermally connected to a thermal reservoir may fluctuate, while the temperature is a constant representing a thermodynamic property of the reservoir. The finite system can also be used as a thermometer for the reservoir. From such a perspective the temperature has an uncertainty, which can be treated within the framework of estimation theory. We review the main results of this theory, and clarify some controversial issues regarding temperature fluctuations. We also offer a simple example of a thermometer with a small number of particles. We discuss the relevance of the total observation time, which must be much longer than the decorrelation time. In addition some preliminar results on partitioning systems will be discussed. Ref.s: M. Falcioni, D. Villamaina, A. Vulpiani, A. Puglisi and A. Sarracino "Estimate of temperature and its uncertainty in small systems" Am. J. Phys. 79, 777 (2011) E. DelRe, B. Crosignani, P. Di Porto and S. Di Sabatino "Built-in reduction of statistical fluctuations of partitioning objects" Phys. Rev. E 84, 021112 (2011)
3:00 PM Stochastic thermodynamics of autonomous information machines: From Maxwell's demons to cellular sensing - Udo Seifert (Univ. Stuttgart)
Stochastic thermodynamics of autonomous information machines: From Maxwell's demons to cellular sensing
- Udo Seifert (Univ. Stuttgart)
3:00 PM - 4:00 PM
Room: 132:028 The framework of stochastic thermodynamics can be applied to Brownian information machines for which information about the system acquired in a measurement is used to extract work from a single heat bath. Fluctuation theorems have been generalized to such feedback-driven non-autonomous machines following an almost standard recipe also allowing to discuss their efficiency and efficiency at maximum power. After briefly recalling this (reasonably well-understood) class, I will describe our recent work dealing with autonomous machines. First, I will discuss a fully stochastic, reversible variant of the demon recently introduced by Mandal and Jarzynski [PNAS 109, 11641, 2012]. Our generalization which includes genuine equilibrium allows to identify Onsager coefficients and the linear response theory of such a demon [1]. Second, within a minimal model for cellular sensing, I will discuss the relation between information-theoretic and thermodynamic entropy production. While one could naively expect the rate of information to be bounded by the thermodynamic cost of acquiring it, based on our new bound on the rate of mutual information for time-continuous processes, I will show that there is no such inequality [2]. [1] AC Barato and US, arXiv:1302.3089 [2] AC Barato, D. Hartich and US, arXiv:1212.3186
Tuesday, March 5, 2013
10:00 AM Remarks on the Jarzynski and Crooks Theorems - E.G.D. Cohen (Rockefeller University)
Remarks on the Jarzynski and Crooks Theorems
- E.G.D. Cohen (Rockefeller University)
10:00 AM - 11:00 AM
Room: 132:028 A discussion will be presented of the Jarzynski and Crooks Theorems and their relation to the stretching experiments of RNA in water.
3:00 PM Fluctuation relation for weakly ergodic aging systems - Felix Ritort (Universitat de Barcelona)
Fluctuation relation for weakly ergodic aging systems
- Felix Ritort (Universitat de Barcelona)
3:00 PM - 4:00 PM
Room: 132:028 A fluctuation relation for aging systems is introduced and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase-space regions in a scenario of entropy-driven relaxation. The relation provides a simple alternative method, amenable of experimental implementation, to measure replica symmetry breaking parameters in aging systems. The connection with the effective temperatures obtained from the fluctuation-dissipation theorem is discussed.
Wednesday, March 6, 2013
10:00 AM Stochastic thermodynamics for adiabatic pistons - Shin-ichi Sasa (Kyoto University)
Stochastic thermodynamics for adiabatic pistons
- Shin-ichi Sasa (Kyoto University)
10:00 AM - 11:00 AM
Room: 132:028 Suppose that a box is divided into two regions by an adiabatic and movable wall, gases are confined in the two regions, and that the whole system is isolated. In this special setting, the equilibrium state is not determined from the variational principle of thermodynamics. To discuss phenomena in related settings is known as the adiabatic piston problem. In particular, various arguments in kinetic theory, mathematical physics, and non-equilibrium physics have been proposed since 1999 when Lieb presented the importance of the problem. Here, the understanding of fluctuation of the wall position plays an important role in the problem, and hence the thermodynamic argument should be developed on the basis of ``stochastic thermodynamics''. In my presentation, I carefully describe the heart of the problem. I then analyze a system under the condition that pressures and temperatures at the both ends are kept constant. I also address open questions, some of which might be expected to be solved in the workshop. (This work is done in collaboration with M. Itami.)
3:00 PM On the heat flux and entropy produced by thermal fluctuations - Sergio Ciliberto (CNRS Ecole Normale Supérieure de Lyon)
On the heat flux and entropy produced by thermal fluctuations
- Sergio Ciliberto (CNRS Ecole Normale Supérieure de Lyon)
3:00 PM - 4:00 PM
Room: 132:028 We report an experimental and theoretical analysis of the energy exchanged between two conductors kept at different temperature and coupled by the electric thermal noise. This system is probably the simplest example to test recent ideas of stochastic thermodynamics, but in spite of its simplicity the explanation of the observations is far from trivial. Experimentally we determine, as functions of the temperature difference, the heat flux, the out-of-equilibrium variance and a conservation law for the fluctuating entropy, which we justify theoretically. The system is ruled by the same equations of two Brownian particles kept at different temperatures and coupled by an elastic force. Our results set strong constrains on the energy exchanged between coupled nano-systems kept at different temperature
Thursday, March 7, 2013
10:00 AM Macroscopic fluctuations in out of equilibrium systems with mean field interactions - Krzysztof Gawedzki (Ecole Normale de Lyon)
Macroscopic fluctuations in out of equilibrium systems with mean field interactions
- Krzysztof Gawedzki (Ecole Normale de Lyon)
10:00 AM - 11:00 AM
Room: 132:028 I shall discuss the non-equilibrium Langevin dynamics of N identical systems with a mean field coupling, governed for N infinite by the non-linear Fokker-Planck equation. For large but finite N, the fluctuations around the solutions of that equation are described by the large deviation theory of the Rome school and may be controled analytically in perturbation theory.
3:00 PM Stochastic Energetics with electrons in a circuit - Jukka Pekola (Aalto University School of Science)
Stochastic Energetics with electrons in a circuit
- Jukka Pekola (Aalto University School of Science)
3:00 PM - 4:00 PM
Room: 132:028 I discuss distribution of dissipation, fluctuation theorems and Maxwell's demon in single-electron transport and in superconducting quantum circuits. Special emphasis is on experiments in nanocircuits and on experimentally feasible scenarios of testing quantum fluctuation relations.
Friday, March 8, 2013
10:00 AM Finite Time Thermodynamics of Simple Model Systems - Katja Lindenberg (University of California)
Finite Time Thermodynamics of Simple Model Systems
- Katja Lindenberg (University of California)
10:00 AM - 11:00 AM
Room: 132:028 A variety of simple model systems provide a theoretical testbed for a thorough characterization of the efficiency of operation of thermodynamic systems at maximum power (i.e., away from equilibrium) and also for the characterization of fluctuations in small thermodynamics systems in a non-equilibrium steady states. These models are particularly attractive because they can be explored analytically. Starting with idealized single quantum dot devices we will present a variety of such systems in a variety of operational modes. Our goal is to understand universal properties beyond the linear response regime.
2:00 PM Jam Session - Aki Kutvonen (Aalto University) Natalia Golubeva (Aarhus University) Daniel Rings (University Leipzig) Arnab Pal (Raman Research Institute) Yohei Nakayama (University of Tokyo) Kyogo Kawaguchi (University of Tokyo) Takahiro Nemoto (Kyoto University)
Jam Session
- Aki Kutvonen (Aalto University)
- Natalia Golubeva (Aarhus University)
- Daniel Rings (University Leipzig)
- Arnab Pal (Raman Research Institute)
- Yohei Nakayama (University of Tokyo)
- Kyogo Kawaguchi (University of Tokyo)
- Takahiro Nemoto (Kyoto University)
2:00 PM - 4:00 PM
Room: 132:028
Saturday, March 9, 2013
Sunday, March 10, 2013