We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

The diffusion of heavy quarks through the quark–gluon plasma (QGP) as produced in high-
energy heavy-ion collisions has long been recognized as an excellent probe of its transport …

Causality is necessary for retarded Green's functions to remain retarded in all inertial frames
in relativity, which ensures that dissipation of fluctuations is a Lorentz invariant concept. For …

We calculate diffusion and hadronization of heavy quarks in high-energy heavy-ion
collisions, implementing the notion of a strongly coupled quark-gluon plasma in both micro …

The modifications of D s-meson spectra in ultrarelativistic heavy-ion collisions are identified
as a quantitative probe of key properties of the hot nuclear medium. The unique valence …

We develop a general formalism for introducing stochastic fluctuations around
thermodynamic equilibrium which takes into account, for the first time, recent developments …

Despite their inherently non-equilibrium nature, living systems can self-organize in highly
ordered collective states, that share striking similarities with the thermodynamic equilibrium …

We derive the Markovian description for the nonequilibrium Brownian motion of a heated
nanoparticle in a simple solvent with a temperature-dependent viscosity. Our analytical …

Spectral and pseudospectral methods have become increasingly popular as higher order
methods for the solution of partial differential and integral equations (Azaïez et al. 2013). A …