Speaker
Prof.
David Lacoste
(Laboratoire de Physico-Chimie Théorique, ESPCI)
Description
In small systems, like molecular motors, thermodynamic
quantities like work or heat are only defined in a
statistical sense. Exact relations between the statistical
distributions of these quantities, known as fluctuations
relations, have been obtained about a decade ago. Within the
linear regime, these fluctuations relations lead to
interesting modified fluctuation dissipation theorems valid
for systems close to non-equilibrium states and obeying
markovian dynamics.
We will discuss two different generalizations: in the first
one, the unperturbed system is in a non-equilibrium steady
state [1], whereas in the second one, it is in a
non-equilibrium non-steady state [2]. For these two
situations, we will illustrate our framework with examples
based on solvable models. We will use a simple model of
molecular motors for the first case [1], and two examples
for the second case : a system obeying linear Langevin
dynamics and the 1D Ising model with Glauber dynamics
submitted to a quentch of temperature [2].
[1] Modified fluctuation-dissipation theorem for
non-equilibrium steady states and applications to molecular
motors, G. Verley, K. Mallick and D. Lacoste, Europhys.
Lett., 93, 10002 (2011).
[2] Modified fluctuation-dissipation theorem near
non-equilibrium states and applications to the Glauber-Ising
chain, G. Verley, R. Chétrite, D. Lacoste,
http://fr.arxiv.org/abs/1108.1135
Primary author
Prof.
David Lacoste
(Laboratoire de Physico-Chimie Théorique, ESPCI)
