General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

We review the general aspects of the concept of temperature in equilibrium and non-
equilibrium statistical mechanics. Although temperature is an old and well-established …

Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Using the analogy with inelastic granular gases we introduce a model for wealth exchange
in society. The dynamics is governed by a kinetic equation, which allows for self-similar …

There is no compelling reason imposing that the methods of statistical mechanics should be
restricted to the dynamical systems which follow the usual Boltzmann–Gibbs prescriptions …

We study high-energy asymptotics of the steady velocity distributions for model kinetic
equations describing various regimes in dilute granular flows. The main results obtained are …

This paper deals with solutions of the nonlinear Boltzmann equation for spatially uniform
freely cooling inelastic Maxwell models for large times and for large velocities, and the …

This book is a course in methods and models rooted in physics and used in modelling
economic and social phenomena. It covers the discipline of econophysics, which creates an …

MATHEMATICS OF GRANULAR MATERIALS Contents Introduction 1 1. Modelling 2 2.
Maxwellian toolbox 11 3. Gradient flow structure 19 Page 1 MATHEMATICS OF GRANULAR …

Science and its evolution are based on complex epistemological structures. Two of the
pillars of such a construction definitively are enthusiasm and skepticism, both being …