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Monte Carlo realization of Kadanoff block transformation in the 2d plane-rotator model

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  • Betsuyaku, H.

Abstract

The method combining Monte Carlo (MC) simulation and renormalization-group analysis has been carried out by several workers, and has turned out to be powerful in the study of critical phenomena. We propose a quite new scheme for realizing the Kadanoff block transformation by using MC simulation. The essential feature is to use a random selection of a spin out of each block to assign the block spin in conformity to the random nature of the MC simulation.

Suggested Citation

  • Betsuyaku, H., 1981. "Monte Carlo realization of Kadanoff block transformation in the 2d plane-rotator model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 311-325.
    • Handle: RePEc:eee:phsmap:v:106:y:1981:i:1:p:311-325
    DOI: 10.1016/0378-4371(81)90229-6
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    References listed on IDEAS

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    1. Seymour Kaplan, 1966. "Solution of the Lorie-Savage and Similar Integer Programming Problems by the Generalized Lagrange Multiplier Method," Operations Research, INFORMS, vol. 14(6), pages 1130-1136, December.
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