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 experimentally study the motion of light-activated colloidal microswimmers in a
viscoelastic fluid. We find that, in such a non-Newtonian environment, the active colloids …

The unique fluctuation–dissipation theorem for equilibrium stands in contrast with the wide
variety of nonequilibrium linear response formulae. Their most traditional approach is' …

We discuss the relevance of information contained in cross correlations among different
degrees of freedom, which is crucial in nonequilibrium systems. In particular we consider a …

We investigate the non-equilibrium character of self-propelled particles through the study of
the linear response of the active Ornstein–Uhlenbeck particle (AOUP) model. We express …

We present a comprehensive study of the symmetries of the generating functionals of
generic Langevin processes with multiplicative colored noise. We treat both Martin–Siggia …

We study the transient motion of a colloidal particle actively dragged by an optical trap
through different viscoelastic fluids (wormlike micelles, polymer solutions, and entangled λ …

Fluctuation–dissipation relations or “theorems”(FDTs) are fundamental for statistical physics
and can be rigorously derived for equilibrium systems. Their applicability to non-equilibrium …

We study a planar two-temperature diffusion of a Brownian particle in a parabolic potential.
The diffusion process is defined in terms of two Langevin equations with two different …

In the context of stochastic thermodynamics, a minimal model for nonequilibrium steady
states has been recently proposed: the Brownian gyrator (BG). It describes the stochastic …