Fourier's Law from Schroedinger Dynamics

Details Fourier's Law from Schroedinger Dynamics Fourier's Law from Schroedinger Dynamics

2005-10-18

arxiv.org/abs/cond-mat/0510471v1

Phys. Rev. Lett. 95, 180602 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.95.180602

We consider a class of one-dimensional chains of weakly coupled many level systems. We present a theory which predicts energy diffusion within these chains for almost all initial states, if some concrete conditions on their Hamiltonians are met. By numerically solving the time dependent Schroedinger equation, we verify this prediction. Close to equilibrium we analyze this behavior in terms of heat conduction and compute the respective coefficient directly from the theory.

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