Issue |
Europhys. Lett.
Volume 72, Number 5, December 2005
|
|
---|---|---|
Page(s) | 802 - 808 | |
Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
DOI | https://doi.org/10.1209/epl/i2005-10303-0 | |
Published online | 28 October 2005 |
Analytical study of tunneling times in flat histogram Monte Carlo
1
Centro de Física do Porto, Departamento de Física, Faculdade de Ciências Universidade do Porto - 4169-007 Porto Portugal
2
Escola Superior de Tecnologia e Gestão, Instituto Politécnico de Viana do Castelo Viana do Castelo, Portugal
3
Departamento de Física, Instituto Superior de Engenharia Instituto Politécnico do Porto - Porto, Portugal
Corresponding author: jlopes@fc.up.pt
Received:
12
August
2005
Accepted:
3
October
2005
We present a model for the dynamics in energy space of multicanonical
simulation methods that lends itself to a rather complete analytic
characterization. The dynamics is completely determined by the density
of states. In the 2D spin glass the transitions between the
ground state level and the first excited one control the long time
dynamics. We are able to calculate the distribution of tunneling times
and relate it to the equilibration time of a starting probability
distribution. In this model, and possibly in any model in which entering
and exiting regions with low density of states are the slowest processes
in the simulations, tunneling time can be much larger (by a factor
of
) than the equilibration time of the probability distribution.
We find that these features also hold for the energy projection of
single spin flip dynamics.
PACS: 75.10.Hk – Classical spin models / 02.70.Rr – General statistical methods / 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems
© EDP Sciences, 2005
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