Series study of random animals in general dimensions | Zendy

Joan Adler | Zendy; Yigal Meir | Zendy; A. B. Harris | Zendy; Am Aharony | Zendy; J. A. M. S. Duarté | Zendy

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Series study of random animals in general dimensions

Author(s) -

Joan Adler,

Yigal Meir,

A. B. Harris,

Am Aharony,

J. A. M. S. Duarté

Publication year - 1988

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.38.4941

Subject(s) - series (stratigraphy) , scaling , dimension (graph theory) , statistical physics , term (time) , exponent , mathematics , physics , combinatorics , quantum mechanics , geometry , paleontology , linguistics , philosophy , biology

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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