Speaker
Simone Pigolotti
(Okinawa Institute of Science and Technology (OIST))
Description
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 non-equilibrium 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 model-independent form. This implies
several generic properties for the entropy production, such
as a finite-time uncertainty equality, universal
distributions of the infimum and the supremum before the
infimum, and universal distribution of the number of
zero-crossings. 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).
