For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in
particular, entropy production can be identified on the level of fluctuating dynamical …

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 …

Active matter systems are driven out of thermal equilibrium by a lack of generalized Stokes-
Einstein relation between injection and dissipation of energy at the microscopic scale. We …

We consider a Brownian particle which, in addition to being in contact with a thermal bath, is
driven by fluctuating forces which stem from active processes in the system, such as self …

Active-matter systems operate far from equilibrium because of the continuous energy
injection at the scale of constituent particles. At larger scales, described by coarse-grained …

Active biological systems reside far from equilibrium, dissipating heat even in their steady
state, thus requiring an extension of conventional equilibrium thermodynamics and statistical …

We provide an analytical solution for the time-dependent Fokker-Planck equation for a two-
dimensional active Brownian particle trapped in an isotropic harmonic potential. Using the …

Collections of self-propelled particles that move persistently by continuously consuming free
energy are a paradigmatic example of active matter. In these systems, unlike Brownian “hot …

Entropy production of an active particle in an external potential is identified through a
thermodynamically consistent minimal lattice model that includes the chemical reaction …

Active work measures how far the local self-forcing of active particles translates into real
motion. Using population Monte Carlo methods, we investigate large deviations in the active …