The Kramers equation simulation algorithm I. Operator analysis

Details The Kramers equation simulation algorithm I. Operator analysis The Kramers equation simulation algorithm I. Operator analysis

1993-07-08

arxiv.org/abs/hep-lat/9307007v1

Phys.Rev. D49 (1994) 2578-2589

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages, REVTeX 3.0, IFUP-TH-27

Scientific paper

10.1103/PhysRevD.49.2578

Using an operatorial formalism, we study the Kramers equation and its applications to numerical simulations. We obtain classes of algorithms which may be made precise at every desired order in the time step $\epsilon$ and with a set of free parameters which can be used to reduce autocorrelations. We show that it is possible to use a global Metropolis test to restore Detailed Balance.

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