Quantum Scattering Theoretical Description of Thermodynamical Transport Phenomena

Details Quantum Scattering Theoretical Description of Thermodynamical Transport Phenomena Quantum Scattering Theoretical Description of Thermodynamical Transport Phenomena

1997-05-09

arxiv.org/abs/cond-mat/9705084v1

Physics Letters A, 245 (1998) p279-p284

Physics

Condensed Matter

Scientific paper

We give a method of describing thermodynamical transport phenomena, based on a quantum scattering theoretical approach. We consider a quantum system of particles connected to thermodynamical reservoirs by leads. The effects of the reservoirs are imposed as an asymptotic condition at the end of the leads. We derive an expression for a current of a conserved quantity, which is independent of the details of the Hamiltonian operator. The Landauer formula and its generalizations are derived from this method.

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