Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local, Cluster, and Transitional Monte Carlo Dynamics   We review the local Monte Carlo dynamics and Swendsen-Wang cluster algorithm.
We introduce and analyze a new Monte Carlo dynamics known as transitional Monte
Carlo. The transitional Monte Carlo algorithm samples energy probability
distribution P(E) with a transition matrix obtained from single-spin-flip
dynamics. We analyze the relaxation dynamics master equation,
  d P(E, t)/ dt = sum{E'} T(E,E') P(E',t), associated with Ising model in d
dimensions. In one dimension, we obtain an exact solution. We show in all
dimensions in the continuum limit the dynamics is governed by the partial
differential equation
  d P/dt' = d^2 P / d x^2 + x dP/dx + P. where x and t' are rescaled energy
deviation from the equilibrium value and rescaled time, respectively. This
equation is readily solved. Thus, we have a complete understanding of the
dynamics.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: math
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex