具有视锥相互作用的二维非互易XY模型的动态方法。

IF 2.4 3区物理与天体物理 Q1 Mathematics

Physical review. E Pub Date : 2025-01-01 DOI:10.1103/PhysRevE.111.014131

Zhong-Yuan Liu, Bo Zheng, Lei-Lei Nian, Long Xiong

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引用次数: 0

摘要

受生物系统和人工系统的启发，引入了具有视锥相互作用的非互易XY模型。在本文中，我们阐明了视锥角在狭窄区域Θ∈（360°},358.5°}）的方形晶格上的模型经历了两次Kosterlitz-Thouless （KT）相变，而它在Θ∈(358.5°}，305°}]时表现为一次二阶相变。利用短时动态方法，精确地确定了二阶相变和二阶KT相变的相变温度和临界指数。

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Dynamic approach to the two-dimensional nonreciprocal XY model with vision cone interactions.

Inspired by biological and artificial systems, the nonreciprocal XY model with a vision cone interaction has been introduced. In this paper, we clarify that the model on the square lattice with the vision cone angle in a narrow regime, Θ∈(360^{∘},358.5^{∘}), undergoes two Kosterlitz-Thouless (KT) phase transitions, while it exhibits a single second-order phase transition with Θ∈(358.5^{∘},305^{∘}]. With the short-time dynamic approach, the phase-transition temperatures and critical exponents are accurately determined for both the second-order phase transition and two KT phase transitions.

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来源期刊

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

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.