Percolation in a three-dimensional nonsymmetric multicolor loop model

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-09-06 DOI:10.1103/physreve.110.034117
Soumya Kanti Ganguly, Sumanta Mukherjee, Chandan Dasgupta
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Abstract

We conduct Monte Carlo simulations to analyze the percolation transition of a nonsymmetric loop model on a regular three-dimensional lattice. We calculate the critical exponents for the percolation transition of this model. The percolation transition occurs at a temperature that is close to, but not exactly, the thermal critical temperature. Our finite-size study on this model yields a correlation length exponent that agrees with that of the three-dimensional XY model with an error margin of 6%.

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三维非对称多色环路模型中的渗流
我们通过蒙特卡罗模拟分析了规则三维晶格上一个非对称环模型的渗滤转变。我们计算了该模型渗滤转变的临界指数。渗滤转变发生的温度接近但不完全是热临界温度。我们对该模型的有限尺寸研究得出的相关长度指数与三维 XY 模型的相关长度指数一致,误差为 6%。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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