Heat conductivity by a shared piston
Limburgs Universitair Centrum - B-3590 Diepenbeek, Belgium
2 Université Libre de Bruxelles, Campus Plaine - 1050 Bruxelles, Belgium
Accepted: 28 September 2001
We study the heat transfer between two reservoirs, filled with hard disks (mass m) at different temperature, resulting from the collisions with a common piston (mass M). The predictions of a linear Langevin equation are found to be in very good agreement with molecular-dynamics simulations for both a dense Enskog and a dilute Boltzmann gas for a mass ratio M/m as low as 10. Results based on the Boltzmann equation and on an exactly solvable one-dimensional model describe well the case M=m of equal masses.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, 2001