Conformal invariance of the 3D self-avoiding walk.
نویسنده
چکیده
We show that if the three-dimensional self-avoiding walk (SAW) is conformally invariant, then one can compute the hitting densities for the SAW in a half-space and in a sphere. We test these predictions by Monte Carlo simulations and find excellent agreement, thus providing evidence that the SAW is conformally invariant in three dimensions.
منابع مشابه
Conformal Invariance and Stochastic Loewner Evolution Predictions for the 2D Self-Avoiding Walk - Monte Carlo Tests
Simulations of the self-avoiding walk (SAW) are performed in a half-plane and a cutplane (the complex plane with the positive real axis removed) using the pivot algorithm. We test the conjecture of Lawler, Schramm and Werner that the scaling limit of the two-dimensional SAW is given by Schramm’s Stochastic Loewner Evolution (SLE). The agreement is found to be excellent. The simulations also tes...
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عنوان ژورنال:
- Physical review letters
دوره 111 16 شماره
صفحات -
تاریخ انتشار 2013