A note on mean-field behavior for self-avoiding walk on branching planes

C. Chris Wu

doi:10.1007/BF02179252

A note on mean-field behavior for self-avoiding walk on branching planes

C. Chris Wu

Penn State Beaver

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

Abstract

We consider the critical behavior of the susceptibility of the self-avoiding walk on the graph T×Z, where T is a Bethe lattice with degree k and Z is the one dimensional lattice. By directly estimating the two-point function using a method of Grimmett and Newman, we show that the bubble condition is satisfied when k>2, and therefore the critical exponent associated with the susceptibility equals 1.

Original language	English (US)
Pages (from-to)	673-680
Number of pages	8
Journal	Journal of Statistical Physics
Volume	81
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02179252
State	Published - Nov 1995

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02179252

Cite this

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title = "A note on mean-field behavior for self-avoiding walk on branching planes",

abstract = "We consider the critical behavior of the susceptibility of the self-avoiding walk on the graph T×Z, where T is a Bethe lattice with degree k and Z is the one dimensional lattice. By directly estimating the two-point function using a method of Grimmett and Newman, we show that the bubble condition is satisfied when k>2, and therefore the critical exponent associated with the susceptibility equals 1.",

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A note on mean-field behavior for self-avoiding walk on branching planes

Abstract

All Science Journal Classification (ASJC) codes

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