Hidden collective oscillations in a disordered mean-field spin model with non-reciprocal interactions

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-08-28 DOI:10.1088/1751-8121/ad6ab4
Laura Guislain, Eric Bertin
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Abstract

We study the effect of introducing separable quenched disorder on a non-equilibrium mean-field spin model exhibiting a phase transition to an oscillating state in the absence of disorder, due to non-reciprocal interactions. In the disordered model, the magnetisation and its time derivative no longer carry the signature of the phase transition to an oscillating state. However, thanks to the separable (Mattis-type) form of the disorder, the presence of oscillations can be revealed by introducing a specific, disorder-dependent observable. We also introduce generalised linear and non-linear susceptibilities associated either with the magnetisation or with its time derivative. While linear susceptibilities show no sign of a phase transition, the third-order susceptibilities present a clear signature of the onset of an oscillating phase. In addition, we show that the overlap distribution also provides evidence for the presence of oscillations, without explicit knowledge of the disorder.
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具有非互惠相互作用的无序均场自旋模型中的隐性集体振荡
我们研究了引入可分离淬火无序对非均衡均场自旋模型的影响,该模型在无序状态下由于非互惠相互作用而表现出向振荡态的相变。在无序模型中,磁化及其时间导数不再带有相变到振荡态的特征。然而,由于无序的可分离(马蒂斯型)形式,可以通过引入特定的、依赖于无序的观测指标来揭示振荡的存在。我们还引入了与磁化或其时间导数相关的广义线性和非线性电感。线性电感没有显示出相变的迹象,而三阶电感则清晰地显示出振荡相位的开始。此外,我们还表明,重叠分布也为振荡的存在提供了证据,而无需明确了解无序性。
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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