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Fluctuating quantum kinetic theory
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DOI：10.1103/PhysRevB.105.245147.png)
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We consider a quantum Langevin kinetic equation for a system of fermions. We first derive the Langevin force noise correlation functions in Landau???s Fermi-liquid kinetic theory from general considerations. We then use the resulting equation to calculate the equilibrium dynamic structure factor in the collisionless regime at low temperatures. The result is in agreement with the conventional many-body result. We then use the theory to derive both the fluctuating Navier-Stokes equations for a quantum fluid and the fluctuating hydrodynamic equations for fermions in the presence of quenched disorder. We also discuss the modifications needed for the fluctuating hydrodynamic equations to describe an electron fluid with long-ranged interactions, and we prove an H theorem for the nonlinear Landau kinetic equation.
Keyword:
NONEQUILIBRIUM STEADY-STATE
LIGHT-SCATTERING
FLUIDS
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining
Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data MiningIF0
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