Designing Langevin microdynamics in macrocosm

Details Designing Langevin microdynamics in macrocosm Designing Langevin microdynamics in macrocosm

2006-02-14

arxiv.org/abs/cond-mat/0602332v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 0 figures, RevTex4

Scientific paper

Previously developed ``stochastic representation of deterministic interactions`` enables exact treatment of an open system without leaving its native phase space (Hilbert space) due to peculiar stochastic extension of the Liouville (von Neumann) equation for its statistical operator. Can one reformulate the theory in terms of stochastic ``Langevin equations'' for its variables? Here it is shown that in case of classical Hamiltonian underlying dynamics the answer is principally positive, and general explicit method of constructing such equations is described.

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