arXiv subjects

R. Czopnik

Publications and source records attributed to R. Czopnik.

4 recordsLinked to original sources

arXiv2003

Frictionless Random Dynamics: Hydrodynamical Formalism

We investigate an undamped random phase-space dynamics in deterministic external force fields (conservative and magnetic ones). By employing the hydrodynamical formalism for those stochastic processes we analyze microscopic kinetic-type "collision invariants" and their relationship to local conservation laws (moment equations) in the fully nonequlibrium context. We address an issue of the continual heat absorption (particles "energization") in the course of the process and its possible physical implementations.

cond-mat.stat-mech↗

arXiv2002

Quantum Potential and Random Phase - Space Dynamics

We analyze limitations upon any kinetic theory inspired derivation of a probabilistic counterpart of the Schrödinger picture quantum dynamics. Neither dissipative nor non-dissipative stochastic phase-space processes based on the white-noise (Brownian motion) kinetics are valid candidates unless additional constraints (a suitable form of the energy conservation law) are properly incorporated in the formalism.

quant-ph↗

arXiv2000

Charged Brownian Particle in a Magnetic Field

We derive explicit forms of Markovian transition probability densities for the velocity space and phase-space Brownian motion of a charged particle in a constant magnetic field.

cond-mat.stat-mech↗

arXiv2000

Brownian motion in a magnetic field

We derive explicit forms of Markovian transition probability densities for the velocity space, phase-space and the Smoluchowski configuration-space Brownian motion of a charged particle in a constant magnetic field. By invoking a hydrodynamical formalism for those stochastic processes, we quantify a continual (net on the local average) heat transfer from the thermostat to diffusing particles.

cond-mat.stat-mech↗