Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

Path integrals are a ubiquitous tool in theoretical physics. However, their use is sometimes
hindered by the lack of control on various manipulations–such as performing a change of …

Thermalization and collective flow of charm (c) and bottom (b) quarks in ultrarelativistic
heavy-ion collisions are evaluated based on elastic parton rescattering in an expanding …

Heavy-flavor particles are believed to provide valuable probes of the medium produced in
ultrarelativistic collisions of heavy nuclei. In this article we review recent progress in our …

There is an intense debate in the recent literature about the correct generalization of
Maxwell's velocity distribution in special relativity. The most frequently discussed candidate …

Two different versions of relativistic Langevin equation in curved spacetime background are
constructed, both are manifestly general covariant. It is argued that, from the observer's point …

A theory for (1+ 3)-dimensional relativistic Brownian motion under the influence of external
force fields is put forward. Starting out from a set of relativistically covariant, but multiplicative …

Abstract The general covariant Fokker-Planck equations associated with the two different
versions of covariant Langevin equation in Part I of this series of work are derived, both lead …

The nonrelativistic standard model for a continuous, one-parameter diffusion process in
position space is the Wiener process. As is well known, the Gaussian transition probability …

We show how a relativistic Langevin equation can be derived from a Lorentz-covariant
version of the Caldeira–Leggett particle-bath Lagrangian. In one of its limits, we identify the …