Exact Sampling of Self-avoiding Paths via Discrete Schramm-Loewner Evolution |
| |
Authors: | Marco?Gherardi |
| |
Institution: | 1.INFN—Sezione di Milano I,Milano,Italy |
| |
Abstract: | We present an algorithm, based on the iteration of conformal maps, that produces independent samples of self-avoiding paths in the plane. It is a discrete process approximating radial Schramm-Loewner evolution growing to infinity. We focus on the problem of reproducing the parametrization corresponding to that of lattice models, namely self-avoiding walks on the lattice, and we propose a strategy that gives rise to discrete paths where consecutive points lie an approximately constant distance apart from each other. This new method allows us to tackle two non-trivial features of self-avoiding walks that critically depend on the parametrization: the asphericity of a portion of chain and the correction-to-scaling exponent. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|