In nonequilibrium systems in the ballistic transport regime, every point of the system contains particles arriving from different regions-each of them at different temperatures-and there are only few collisions, in such a way that equilibrium between the different populations will be reached very slowly. Here, we tentatively approach the local distribution function by a superposition of local-equilibrium distribution functions with different temperatures, corresponding to the different starting positions of the particles. In a second-order expansion, we find a distribution function which depends not only on the Hamiltonian H but also on H2, and we study the additional contribution to energy fluctuations. © 2009 Elsevier B.V. All rights reserved.
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - 15 Jun 2009|
- Ballistic transport
- Canonical ensemble
- Heat transport
- Nonequilibrium thermodynamics