On the Alexandrowicz relation between static and dynamic Ising exponents

D. Stauffer; J. Kertész

doi:10.1016/0378-4371(90)90118-C

On the Alexandrowicz relation between static and dynamic Ising exponents

D. Stauffer^*, J. Kertész

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract (may include machine translation)

The cluster growth equation known from nucleation theory is found to reproduce the Alexandrowicz relation if the growth probability is assumed to be proportional to the volume per site of the critical cluster. Supposing weak q-dependence of the fractal dimension of the chemical distance in critical clusters of the q-state Potts model the relation is roughly fulfilled.

Original language	English
Pages (from-to)	333-337
Number of pages	5
Journal	Physica A: Statistical Mechanics and its Applications
Volume	167
Issue number	2
DOIs	https://doi.org/10.1016/0378-4371(90)90118-C
State	Published - 15 Aug 1990
Externally published	Yes

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10.1016/0378-4371(90)90118-C

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title = "On the Alexandrowicz relation between static and dynamic Ising exponents",

abstract = "The cluster growth equation known from nucleation theory is found to reproduce the Alexandrowicz relation if the growth probability is assumed to be proportional to the volume per site of the critical cluster. Supposing weak q-dependence of the fractal dimension of the chemical distance in critical clusters of the q-state Potts model the relation is roughly fulfilled.",

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AB - The cluster growth equation known from nucleation theory is found to reproduce the Alexandrowicz relation if the growth probability is assumed to be proportional to the volume per site of the critical cluster. Supposing weak q-dependence of the fractal dimension of the chemical distance in critical clusters of the q-state Potts model the relation is roughly fulfilled.

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JO - Physica A: Statistical Mechanics and its Applications

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On the Alexandrowicz relation between static and dynamic Ising exponents

Abstract (may include machine translation)

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