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具有涌现伊辛转变的吸收态模型

An Absorbing State Model with an Emergent Ising Transition

Shen Ai, Dov Levine, Paul Chaikin

arXiv 2610.03936首次发表:更新:

发表机构

Center for Soft Matter Research, Department of Physics, New York University; Department of Physics, Technion-IIT(纽约大学软物质研究中心物理系; 以色列理工学院物理系)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究提出一个排斥针动态模型,其中心固定于方格晶格,通过排斥旋转驱动吸收态转变,发现棋盘对称相及其熔化无序相,且相边界临界指数与二维伊辛模型一致。

AI 中文摘要

我们研究了一个排斥针的动态模型,其中心固定在方格晶格上。重叠的针是活跃的,并受到排斥性旋转$\theta \in [0,\epsilon)$;没有重叠的针则不移动。该模型表现出吸收态转变。对于长针,观察到了向列序。在一定的针长和$\epsilon$范围内,系统自组织成具有棋盘对称性的状态。随着$\epsilon$的增加,该相熔化并变得无序。值得注意的是,我们发现该相边界表现出与平衡二维伊辛模型相同的临界指数。

英文摘要

We study a dynamical model of repulsive needles with centers fixed on a square lattice. Needles that overlap are active and receive a repulsive rotation $ θ\in [0,ε)$; needles with no overlap do not move. This model exhibits an absorbing state transition. Nematic order was observed for long needles. For a range of needle lengths and $ε$, the system self-organizes into a state with checkerboard symmetry. As $ε$ is increased, this phase melts and becomes disordered. Remarkably, we find that this phase boundary exhibits critical exponents identical to those of the equilibrium 2D Ising model.

论文原文

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