Speaker
Tapio Ala-Nissilä
(Aalto University School of Science)
Description
Fluctuation relations provide a powerful formalism to study
the stochastic nature of fluctuating thermodynamic
variables, such as (free) energy, entropy, heat and work in
small systems driven beyond the linear response regime. Most
of the work done to date in this field has been done within
the context of the Markovian approximation, where the system
has no memory of its previous states. However, it is easy to
argue that in reality many interacting systems become
non-Markovian when driven out of equilibrium. I will present
some new results for the fluctuation relations, and entropy,
heat and work production in a system of driven
single-electron transitions (the "single-electron box"),
which becomes non-Markovian due to excess heat dissipation
[1], or which can be driven to a steady-state
non-equilibrium state [2]. I will also discuss the
relationship between different sources of entropy generation
in non-Markovian systems using the driven SEB as a benchmark
[3].
[1] J.P. Pekola, A. Kutvonen, and T. A-N., JSTAT P02033
(2013).
[2] J.V. Koski, T. Sagawa, O-P. Saira, Y. Yoon, A. Kutvonen,
P. Solinas, M. Möttönen, T.A-N., and J.P. Pekola, Nat. Phys.
9, 644 (2013).
[3] A. Kutvonen, J.P. Pekola, and T. A-N., unpublished (2014).
