平均场非互易自旋玻璃中的涨落耗散违反
Fluctuation-dissipation violations in mean-field non-reciprocal spin glasses
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中文总结 AI 辅助
研究具有非互易不对称耦合的球形Sherrington-Kirkpatrick模型非平衡动力学，推导方程稳定解条件，解析求解相关渐近性，通过数值结果揭示不对称性对动力学的影响，为理解无序非互易系统动力学提供框架。
中文摘要 AI 辅助
我们研究具有非互易不对称耦合的球形Sherrington-Kirkpatrick模型的非平衡动力学。我们推导了动力学平均场方程允许稳定时间平移不变解的条件，而非假设平稳性。我们解析求解了对称、不相关和反对称极限下关联函数和响应函数的渐近性，表明尽管有指数弛豫，但由于细致平衡破坏而非老化，非互易性存在时涨落耗散定理通常被违反。一般不对称性的数值结果让我们在这些可解极限情况之间进行插值，揭示了随着不对称性增加动力学更快，以及反对称耦合驱动的振荡动力学。这些结果为理解无序、非互易系统的动力学提供了参考框架，区分了涨落耗散违反的两个不同起源。
英文摘要
We study the out-of-equilibrium dynamics of the spherical Sherrington-Kirkpatrick model with non-reciprocal asymmetric couplings. Rather than assuming stationarity, we derive the conditions under which the dynamical mean-field equations admit stable time-translational invariant solutions. We analytically solve the asymptotics of the correlation and response functions in the symmetric, uncorrelated and antisymmetric limits, showing that the fluctuation-dissipation theorem is generically violated in the presence of non-reciprocity despite exponential relaxation, due to broken detailed balance rather than aging. Numerical results for generic asymmetry allow us to interpolate between these solvable limit cases, revealing faster dynamics as the asymmetry increases, together with oscillatory dynamics driven by antisymmetric couplings. These results provide a reference framework for understanding the dynamics of disordered, non-reciprocal systems, disentangling two distinct origins of fluctuation-dissipation violations.
