Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics

Details Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics

2006-05-12

arxiv.org/abs/physics/0605101v1

Phys.Rev. B75 (2007) 035114

Physics

Classical Physics

Scientific paper

10.1103/PhysRevB.75.035114

We examine the Bloch-Peierls-Berry dynamics under a classical nonequilibrium dynamical formulation. In this formulation all coordinates in phase space formed by the position and crystal momentum space are treated on equal footing. Explicitly demonstrations of the no (naive) Liouville theorem and of the validity of Darboux theorem are given. The explicit equilibrium distribution function is obtained. The similarities and differences to previous approaches are discussed. Our results confirm the richness of the Bloch-Peierls-Berry dynamics.

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