发表机构
Arya Vidyapeeth College; Gauhati University（阿里亚维迪亚皮特学院; 高哈蒂大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究证明周期驱动耗散系统中的势垒穿越由双参数普适响应函数支配，隧穿指数因子化为静态与普适部分，确立了新的普适类并提供预测框架。
AI 中文摘要
非线性非平衡系统中的普适性通常通过标度律来体现，这些标度律使得宏观行为对微观细节不敏感。当周期性驱动和非局域耗散记忆同时作用时，这种普适性是否仍然存在，是驱动开放动力学中的一个悬而未决的问题。在此，我们证明周期性驱动耗散系统中的势垒穿越过程不仅由修正的指数标度支配，而且由一个显式的双参数普适响应函数支配。在包含Floquet调制和欧姆环境耦合的半经典瞬子框架内，隧穿指数因子化为系统依赖的静态贡献和两个无量纲控制参数（归一化驱动频率和耗散强度）的普适函数。这种因子化源于单个鞍点轨迹的联合修正，且不引入额外的独立标度变量。弱到中等耗散表现为有效作用的平滑动力学重整化，保持鞍点结构并允许受控的解析展开。在高频区域，响应表现出普适动力学平均，而一个显式积分表示建立了从绝热到Floquet的连续交叉。对非局域瞬子作用的直接数值评估证实，归一化隧穿指数在不同模型系统中表现出对驱动参数的普适依赖。这些结果将驱动耗散势垒穿越确定为非线性非平衡动力学中一个独特的双参数普适类，并为具有记忆的驱动系统中的响应现象提供了一个可预测的函数框架。
英文摘要
Universality in nonlinear nonequilibrium systems is typically expressed through scaling laws that render macroscopic behavior insensitive to microscopic details. Whether this universality survives when periodic forcing and nonlocal dissipative memory act simultaneously remains an open question in driven open dynamics. Here, we demonstrate that barrier-crossing processes in periodically driven dissipative systems are governed not merely by modified exponential scaling, but by an explicit two-parameter universal response function. Within a semiclassical instanton framework incorporating Floquet modulation and Ohmic environmental coupling, the tunneling exponent factorizes into a system-dependent static contribution and a universal function of two dimensionless control parameters: normalized driving frequency and dissipation strength. This factorization arises from the combined modification of a single saddle-point trajectory and introduces no additional independent scaling variables. Weak-to-moderate dissipation acts as a smooth dynamical renormalization of the effective action, preserving the saddle-point structure and enabling controlled analytical expansion. In the high-frequency regime, the response exhibits universal dynamical averaging, while an explicit integral representation establishes a continuous adiabatic to Floquet crossover. Direct numerical evaluation of the nonlocal instanton action confirms that the normalized tunneling exponent exhibits a universal dependence on the driving parameters across different model systems. These results identify driven dissipative barrier crossing as a distinct two-parameter universality class within nonlinear nonequilibrium dynamics and provide a predictive functional framework for response phenomena in driven systems with memory.
Comments9 pages, 4 figures , 2 tables
Journal refPublished in Chaos 36,073105(2026) (editorial pick)
