26–29 May 2010
Europe/Stockholm timezone

The fluctuation-dissipation relations as an inference tool

27 May 2010, 16:30
45m

Speaker

Angelo Vulpiani (Università di Roma "La Sapienza")

Description

As first we discuss as the Fluctuation Dissipation Relations (FDRs) hold in a generalized form for any systems with a stationary probability distribution. One can say that the essence of the FDRs is the possibility to establish a bridge between equilibrium and non equilibrium properties. We show how FDRs are useful tools to understand the statistical behaviour of complex systems such as driven granular gases and protein models. In the first case although the velocity response function of a particle and its velocity self-correlation are not proportional, a generalized form of fluctuation-dissipation relation holds, this is due to the presence of strong correlations between velocities and spatial density. This happens at high densities and strong inelasticities, but still in the fluid-like (and ergodic) regime. In addition we discuss how, following the Jarzynski- like approach, i.e. perfoming a series of "pulling experiments", one can infer the basic feature of the underlying dynamics. (Joint work with F. Cecconi, A. Puglisi and D. Villamaina)

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