The study of fluctuations in statistical physics has a long history, and a general theory is well established, connecting fluctuations to response properties of equilibrium systems. Remarkably, this framework fails as soon as some current is flowing across the system, driving it out of equilibrium.
The presence of currents is quite common in nature and produces rich phenomena which are far from being included in a general framework. This thesis focuses on this general problem by studying different models such as granular materials and systems exhibiting anomalous diffusion and shows how the generalized response techniques can be successfully used to catch the relevant degrees of freedom that drive the systems out of equilibrium.
This study paves the way to the use of the generalized fluctuation relations in an operative way, in order to extract information from a non-equilibrium system and to build the corresponding phenomenological theory.
The study of fluctuations in statistical physics has a long history, and a general theory is well established, connecting fluctuations to response properties of equilibrium systems. Remarkably, this framework fails as soon as some current is flowing across the system, driving it out of equilibrium.
The presence of currents is quite common in nature and produces rich phenomena which are far from being included in a general framework. This thesis focuses on this general problem by studying different models such as granular materials and systems exhibiting anomalous diffusion and shows how the generalized response techniques can be successfully used to catch the relevant degrees of freedom that drive the systems out of equilibrium.
This study paves the way to the use of the generalized fluctuation relations in an operative way, in order to extract information from a non-equilibrium system and to build the corresponding phenomenological theory.
Nominated by "La Sapienza" University of Rome as prize winning thesis Tackles the difficult problem of describing systems that are destabilized by the flow of currents Investigates the “glassy ratchet” phenomenon and brings support to the idea of using it as a non equilibrium thermometer Includes supplementary material: sn.pub/extras
Dario Villamaina
Anomalous Transport Fluctuation Dissipation Theorem Fluctuation Theorem Fluctuations in Statistical Mechanics Generalized Fluctuation Relations Granular Materials Non-Equilibrium Physics Non-Equilibriums Steady States Response Properties