The approach to equilibrium in quantum random walks

Salvador Godoy and E. Braun

Physica A: Statistical Mechanics and its Applications, 1994, vol. 203, issue 3, 414-424

Abstract: We use the quantum random walk (QRW) model to build a quantum kinetic theory of diffusion in a one-dimensional, crystalline lattice, with a fixed number of cells. QRW is a reversible model and the quantum interferences are responsible for the process not satisfying an H-theorem. The microscopic entropy which increases statistically not dynamically, shows very large fluctuations. In the long-time limit, the entropy still fluctuates around some mean value, but in the limit of a large number of lattice cell, the relative fluctuations become negligible, allowing for the definition of thermodynamic equilibrium.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:203:y:1994:i:3:p:414-424

DOI: 10.1016/0378-4371(94)90007-8

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