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Eur. Phys. J. B 6, 395-398
Configuration space
for random walk dynamics![[*]](/icons/foot_motif.gif)
B.A. Berg1 - U.H.E. Hansmann2
1 Department of Physics, The Florida State University,
Tallahassee, FL 32306, USA
and Supercomputer Computations Research Institute,
Tallahassee, FL 32306, USA
2 Department of Physics, Michigan Technological
University, Houghton, MI 49931, USA
Received: 13 May 1998 / Received in final form and Accepted: 26 May 1998
Abstract
Applied to statistical physics models, the random cost algorithm
enforces a Random Walk (RW) in energy (or possibly other
thermodynamic quantities). The dynamics of this procedure
is distinct from fixed weight updates. The probability for a
configuration to be sampled depends on a number of unusual
quantities, which are explained in this paper. This has been
overlooked in recent literature, where the method is advertised
for the calculation of canonical expectation values. We illustrate
these points for the 2d Ising model. In addition, we prove a
previously conjectured equation which relates microcanonical
expectation values to the spectral density.
PACS
75.40.Mg Numerical simulation studies -
5.50.+q Lattice theory and statistics; Ising problems
Author for correspondance: berg@hep.fsu.edu, hansmann@mta.edu
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