Persistent nonequilibrium effects in generalized Langevin dynamics of nonrelativistic and relativistic particles
arXiv:2301.12450 · doi:10.1103/PhysRevE.107.064131
Abstract
Persistent nonequilibrium effects such as the memory of the initial state, the ballistic diffusion, and the break of the equipartition theorem and the ergodicity in Brownian motions are investigated by analytically solving the generalized Langevin equation of nonrelativistic Brownian particles with colored noise. These effects can also be observed in the Brownian motion of relativistic particles by numerically solving the generalized Langevin equation for specially chosen memory kernels. Our analyses give rise to think about the possible anomalous motion of heavy quarks in relativistic heavy-ion collisions.
13 pages, 12 figures, title changed, two figues added, one figure updated, text updated, references added, results unchanged, published version
References in corpus (12)
- Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
- Relativistic Brownian Motion
- Toward a solution to the and puzzle for heavy quarks
- Charmonium properties in hot quenched lattice QCD
- Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid
- Khinchin theorem and anomalous diffusion
- Memory effects on energy loss and diffusion of heavy quarks in the quark-gluon plasma
- Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport
- Ballistic diffusion of heavy quarks in the early stage of relativistic heavy ion collisions at RHIC and LHC
- Relativistic Brownian motion: From a microscopic binary collision model to the Langevin equation
- Relativistic Langevin dynamics: charm versus beauty
- Heavy Flavor Dynamics in QGP and Hadron Gas