One dimensional Brownian motion in hard rods: adiabatic piston problem

Abstract

We have investigated the motion characteristics of a movable piston immersed in a one dimensional gas of hard rods by event-oriented molecular dynamics in the absence of thermal noise. Periodic and reflecting boundary conditions are explored. It is shown that the piston undergoes systematic oscillations with decaying amplitudes in short times before it comes to global thermodynamic equilibrium. Moreover, the diffusion of the piston is explored and analytical expressions for its equilibrium mean-squared displacement is obtained. It is shown that MSD of the piston does not differ much from the normal rods despite its mass and length are significantly larger.

6 pages, 6 eps figures, Revtex4

References in corpus (11)

• The Physics and Mathematics of the Second Law of Thermodynamics
• Single-File diffusion in a Box
• Theory of Single File Diffusion in a Force Field
• Stationary Motion of the Adiabatic Piston
• On the adiabatic properties of a stochastic adiabatic wall: Evolution, stationary non-equilibrium, and equilibrium states
• From the adiabatic piston to macroscopic motion induced by fluctuations
• Two-time-scale relaxation towards thermal equilibrium of the enigmatic piston
• Lyapunov spectra of periodic orbits for a many-particle system
• Dissipative collapse of the adiabatic piston
• The Simplest Piston Problem I: Elastic Collisions
• Temporal and structural characteristics of a two dimensional gas of hard needles

Cited by in corpus (3)

• Energetics of a driven Brownian harmonic oscillator
• Order-preserving dynamics in one dimension -- single-file diffusion and caging from the perspective of dynamical density functional theory
• Mesoscopic description of the adiabatic piston: kinetic equations and $\mathcal{H}$-theorem