Crossover Between Weakly and Strongly Self-avoiding Random Surfaces

TL;DR

This paper explores the transition between weakly and strongly self-avoiding random surfaces through simulations, analyzing different discretizations of extrinsic curvature in both dynamic and rigid surface models.

Contribution

It introduces a comparative study of self-avoidance regimes in random surfaces using various discretizations of extrinsic curvature.

Findings

Identifies the nature of the crossover between weak and strong self-avoidance.

Compares effects of different extrinsic curvature discretizations.

Provides insights into surface behavior in different self-avoidance regimes.

Abstract

We investigate the crossover between weak and strong self-avoidance in a simulation of random surfaces with extrinsic curvature. We consider both dynamically triangulated and rigid surfaces with the two possible discretizations of the extrinsic curvature term.