可积和不可积不相容过程中的拟测地线

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-08-11 DOI:10.1007/s10955-025-03488-9

Patrik L. Ferrari, Min Liu

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引用次数: 0

摘要

2010年引入了TASEP的反向测地线。我们考虑平坦初始条件，并证明在适当的缩放下测地线的端点收敛于\(\hbox {Airy}_2\)过程减去抛物线的最大化参数。我们将其定义推广到一般不可积模型，包括ASEP和变速ASEP（称为准测地线）。通过KPZ标度理论解析计算出标度系数，数值验证了其端点的通用性。

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Quasi-Geodesics in Integrable and Non-Integrable Exclusion Processes

Backwards geodesics for TASEP were introduced in [30]. We consider flat initial conditions and show that under proper scaling the end-point of the geodesic converges to maximizer argument of the \(\hbox {Airy}_2\) process minus a parabola. We generalize its definition to generic non-integrable models including ASEP and speed changed ASEP (call it quasi-geodesics). We numerically verify that its end-point is universal, where the scaling coefficients are analytically computed through the KPZ scaling theory.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.