6533b7d6fe1ef96bd1266e65

RESEARCH PRODUCT

The distribution of velocities in an ensemble of accelerated particles on a surface

A.v. KargovskyO. A. ChichiginaAlexandra KrasnovaAlexandra KrasnovaE. I. AnashkinaE. I. Anashkina

subject

Statistics and ProbabilityPhysicsIsothermal–isobaric ensembleStatistical and Nonlinear Physics02 engineering and technologyMechanicsEffective temperature021001 nanoscience & nanotechnology01 natural sciencesIdeal gas0103 physical sciencesOpen statistical ensembleBalance equationProbability distributionStatistical physicsStatistics Probability and UncertaintyDynamical billiards010306 general physics0210 nano-technology

description

An ensemble of particles diffusing with acceleration on a surface is considered as a 2D billiard system. The process of the finite-time diffusion of particles is studied using the balance equation. The probability distribution functions of the velocity and lifetime of particles are obtained analytically and by means of numerical simulations. A thermodynamic interpretation of the process is discussed. The effective temperature and entropy obey the relationship for an ideal gas.

https://doi.org/10.1088/1742-5468/2016/05/054007