Transport Properties of a Modified Lorentz Gas

摘要: We present a detailed study of the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at level equilibrium statistical mechanics. The under consideration is Lorentz gas with fixed freely-rotating circular scatterers interacting point particles via perfectly rough collisions. Upon imposing temperature and/or chemical potential gradient, stationary state attained for which local thermal holds low values imposed gradients. Transport in this normal, sense coefficients characterize flow heat and matter are finite thermodynamic limit. Moreover, two flows non-trivially coupled, satisfying Onsager's reciprocity relations to within numerical accuracy as well Green–Kubo relations. further show numerically an applied electric field causes same currents corresponding gradient order field. Puzzling discrepancies higher effects (Joule heating) also observed. Finally, role entropy production purely Hamiltonian shortly discussed.