TY - JOUR

T1 - Monte Carlo Tests of Stochastic Loewner Evolution Predictions for the 2D Self-Avoiding Walk

AU - Kennedy, Tom

N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2002

Y1 - 2002

N2 - The conjecture that the scaling limit of the two-dimensional self-avoiding walk (SAW) in a half plane is given by the stochastic Loewner evolution (SLE) with [Formula presented] leads to explicit predictions about the SAW. A remarkable feature of these predictions is that they yield not just critical exponents but also probability distributions for certain random variables associated with the self-avoiding walk. We test two of these predictions with Monte Carlo simulations and find excellent agreement, thus providing numerical support to the conjecture that the scaling limit of the SAW is [Formula presented].

AB - The conjecture that the scaling limit of the two-dimensional self-avoiding walk (SAW) in a half plane is given by the stochastic Loewner evolution (SLE) with [Formula presented] leads to explicit predictions about the SAW. A remarkable feature of these predictions is that they yield not just critical exponents but also probability distributions for certain random variables associated with the self-avoiding walk. We test two of these predictions with Monte Carlo simulations and find excellent agreement, thus providing numerical support to the conjecture that the scaling limit of the SAW is [Formula presented].

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U2 - 10.1103/PhysRevLett.88.130601

DO - 10.1103/PhysRevLett.88.130601

M3 - Article

AN - SCOPUS:85038266961

VL - 88

SP - 4

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 13

ER -