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) |
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Pages (from-to) | 673-680 |
Number of pages | 8 |
Journal | Journal of Statistical Physics |
Volume | 81 |
Issue number | 3-4 |
DOIs | |
State | Published - Nov 1995 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics