## Transport Properties in Non-Equilibrium and Anomalous SystemsThe 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. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

5 | |

3 The Effects of Memory on Linear Response and Entropy Production | 35 |

4 The Motion of a Tracer in a Granular Gas | 62 |

5 Anomalous Transport and NonEquilibrium | 77 |

6 Conclusions and Perspectives | 107 |

Appendix | 110 |

Biography of the Author | 124 |

### Other editions - View all

Transport Properties in Non-Equilibrium and Anomalous Systems Dario Villamaina No preview available - 2016 |

Transport Properties in Non-Equilibrium and Anomalous Systems Dario Villamaina No preview available - 2013 |

Transport Properties in Non-Equilibrium and Anomalous Systems Dario Villamaina No preview available - 2013 |

### Common terms and phrases

anomalous diffusion Anomalous Systems asymmetric autocorrelation auxiliary variables average bath behavior Brownian Brownian motion coefficient correlation coupling Cugliandolo degrees of freedom derived detailed balance condition drift dynamics effective temperature Einstein relation elastic energy entropy production entropy production rate external fluctuation dissipation relation fluctuation dissipation theorem fluctuation relation fluctuation theorem fluctuation-dissipation relation Gaussian granular fluids granular gases granular material inelastic collisions initial condition interaction intruder Kurchan Langevin equation Let us consider Lett limit linear response Markovian mean square displacement Mech memory effects molecular chaos motion noise numerical observed obtained P(xn parameters parametric plot perturbation Phys present probability distribution Puglisi quench random walk ratchet effect regime response function response relation result Sect shown Springer Stat statistical mechanics steady subdiffusive symmetry Teff term theory thermal thermodynamic thermostat tracer trajectory transition rates valid velocity field Villamaina violations Vulpiani zero