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• W2079740419 abstract "A random walk of N particles on a lattice with M sites is studied under the constraint that each lattice site is coupled to its own mesoscopic heat bath. Such a situation can be conveniently described by using the master equation in a quantized Hamiltonian formulation where the exclusion principle is included by using Pauli operators. If all reservoirs are mutually in contact, giving rise to a temperature gradient, an evolution equation for the particle density with two different currents already results in the mean-field approximation. One is the conventional diffusive current, driven by the density gradient, whereas the other includes a coupling between the local density and the temperature gradient. Due to the competitive currents, the system exhibits a stationary solution, where the local density is determined by the local temperature field and depends on the filling factor M/N. The stability of the solution is related to the eigenvalues of a Schrödinger-like equation. In the case of a fixed temperature gradient the stationary density distribution remains stable. The approach used is totally different from and an alternative to the conventional Onsager ansatz." @default.
• W2079740419 created "2016-06-24" @default.
• W2079740419 creator A5049393322 @default.
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• W2079740419 date "2007-09-10" @default.
• W2079740419 modified "2023-09-26" @default.
• W2079740419 title "Transport process and local thermal reservoirs" @default.
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• W2079740419 doi "https://doi.org/10.1103/physreve.76.031109" @default.
• W2079740419 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/17930201" @default.
• W2079740419 hasPublicationYear "2007" @default.
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