Fluctuation-Dissipation Relations Out of Equilibrium

Fluctuation-dissipation relations (FDR) have been a crucial tool in Statistical Physics. They relate the response of a system slightly removed from equilibrium to equilibrium properties and allow to connect transport coefficients to microscopic properties [1]. In the recent years, there has been a growing interest in generalizing FDR to arbitrarily far from equilibrium systems [2], where classical FDR do not in general apply.

Our group has recently contributed to this field showing, in collaboration with J. Prost and J-F. Joanny, that FDR are valid out of equilibrium provided the correct conjugate observables are used [3]. This new theorem has attracted considerable attention due to its general hypothesis (it can be applied to any Markovian system). We are currently working on its generalization to non-Markovian systems and its application to biophysical systems like Brownian motors or active gels.

[1] R. Kubo, Fluctuation-Dissipation Theorem. Reports on Progress in Physics 29, 255 (1966).

[2] U.M.B. Marconi, A. Puglisi, L. Rondoni, and A. Vulpiani, Fluctuation-Dissipation: Response Theory in Statistical Physics. Physics Reports-Review Section of Physics Letters 461, 111-195 (2008).

[3] J. Prost, J.F. Joanny, and J.M.R. Parrondo, Generalized Fluctuation-Dissipation Theorem for Steady-State Systems. Physical Review Letters 103, 090601 (2009).

JMR Parrondo
JMR Parrondo
CatedrĂ¡tico de Universidad

My research interests include statistical physics, fluctuations and Brownian motion.

Luis Dinis
Luis Dinis
Profesor Titular

My research interests include stochastic thermodynamics, control and information in stochastic systems and biophysics