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 …

In the past three decades, the field of stochastic thermodynamics has been formulated and
highly developed. Stochastic thermodynamics extends the framework of thermodynamics …

Particles kicked by external forces to produce mobility distinct from thermal diffusion are an
iconic feature of the active matter problem. Here, we map this onto a minimal model for …

The characterization of the distance from equilibrium is a debated problem in particular in
the treatment of experimental signals. If the signal is a one-dimensional time series, such a …

The origin (s) of the ubiquity of probability distribution functions with power law tails is still a
matter of fascination and investigation in many scientific fields from linguistic, social …

Modeling the dynamics of an individual active particle invariably involves an isotropic noisy
self-propulsion component, in the form of run-and-tumble motion or variations around it. This …

Quantum systems are unavoidably open to their surrounding degrees of freedom. The
theory of open quantum systems is thus crucial to understanding the fluctuations …

Recent technological development has enabled researchers to study social phenomena in
detail, and financial markets have attracted the attention of physicists particularly since key …

An active environment is a reservoir containing active materials, such as bacteria and Janus
particles. Given the self-propelled motion of these materials, powered by chemical energy …

The linear Hawkes point process is a first-order non-Markovian stochastic model of
intermittent bursty dynamics. While its nonlinear extensions, called nonlinear Hawkes …