Physics – Fluid Dynamics
Scientific paper
2004-06-25
Physical Review E, 69,2, 026120-026129 (2004)
Physics
Fluid Dynamics
25 pages, 4 figures
Scientific paper
10.1103/PhysRevE.69.026120
A simple variational Lagrangian is proposed for the time development of an arbitrary density matrix, employing the "factorization" of the density. Only the "kinetic energy" appears in the Lagrangian. The formalism applies to pure and mixed state cases, the Navier-Stokes equations of hydrodynamics, transport theory, etc. It recaptures the Least Dissipation Function condition of Rayleigh-Onsager {\bf and in practical applications is flexible}. The variational proposal is tested on a two level system interacting that is subject, in one instance, to an interaction with a single oscillator and, in another, that evolves in a dissipative mode.
Englman Robert
Yahalom Asher
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