Stochastic thermodynamics as reviewed here systematically provides a framework for
extending the notions of classical thermodynamics such as work, heat and entropy …

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

Active materials are characterized by continuous injection of energy at the microscopic level
and typically cannot be adequately described by equilibrium thermodynamics. Here we …

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 …

We present experiments on several distinct effective temperatures in a granular system at a
sequence of increasing packing densities and at a sequence of decreasing driving rates …

The Enskog kinetic equation is considered to determine the diffusion D and mobility λ
transport coefficients of intruders immersed in a granular gas of inelastic hard spheres …

In this paper, we offer to the reader an essential review of the theory of Fluctuation-
Dissipation Relations (FDR), from the first formulations due to Einstein and Onsager, to the …

We study the linear response in different models of driven granular gases. In some
situations, even if the velocity statistics can be strongly non-Gaussian, we do not observe …

On general grounds, a nonequilibrium temperature can be consistently defined from
generalized fluctuation-dissipation relations only if it is independent of the observable …

The Green-Kubo relation for two models of granular gases is discussed. In the Maxwell
model in any dimension, the effective temperature obtained from the Green-Kubo relation is …