Series study of random animals in general dimensions

J. Adler; Y. Meir; A. B. Harris; A. Aharony; J. A.M.S. Duarté

doi:10.1103/PhysRevB.38.4941

Series study of random animals in general dimensions

J. Adler, Y. Meir, A. B. Harris, A. Aharony, J. A.M.S. Duarté

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26 Scopus citations

Abstract

We construct general-dimension series for the random animal problem up to 15th order. These represent an improvement of five terms in four dimensions and above and one term in three dimensions. These series are analyzed, together with existing series in two dimensions, and series for the related Yang-Lee edge problem, to obtain accurate estimates of critical parameters, in particular, the correction to scaling exponent. There appears to be excellent agreement between the two models for both dominant and correction exponents.

Original language	English
Pages (from-to)	4941-4954
Number of pages	14
Journal	Physical Review B
Volume	38
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevB.38.4941
State	Published - 1 Jan 1988
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics

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10.1103/PhysRevB.38.4941

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abstract = "We construct general-dimension series for the random animal problem up to 15th order. These represent an improvement of five terms in four dimensions and above and one term in three dimensions. These series are analyzed, together with existing series in two dimensions, and series for the related Yang-Lee edge problem, to obtain accurate estimates of critical parameters, in particular, the correction to scaling exponent. There appears to be excellent agreement between the two models for both dominant and correction exponents.",

author = "J. Adler and Y. Meir and Harris, {A. B.} and A. Aharony and Duart{\'e}, {J. A.M.S.}",

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AU - Adler, J.

AU - Meir, Y.

AU - Harris, A. B.

AU - Aharony, A.

AU - Duarté, J. A.M.S.

PY - 1988/1/1

Y1 - 1988/1/1

N2 - We construct general-dimension series for the random animal problem up to 15th order. These represent an improvement of five terms in four dimensions and above and one term in three dimensions. These series are analyzed, together with existing series in two dimensions, and series for the related Yang-Lee edge problem, to obtain accurate estimates of critical parameters, in particular, the correction to scaling exponent. There appears to be excellent agreement between the two models for both dominant and correction exponents.

AB - We construct general-dimension series for the random animal problem up to 15th order. These represent an improvement of five terms in four dimensions and above and one term in three dimensions. These series are analyzed, together with existing series in two dimensions, and series for the related Yang-Lee edge problem, to obtain accurate estimates of critical parameters, in particular, the correction to scaling exponent. There appears to be excellent agreement between the two models for both dominant and correction exponents.

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Series study of random animals in general dimensions

Abstract

ASJC Scopus subject areas

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