热波动影响下电阻并联超导隧道结系统的随机动力学

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-07-30 DOI:10.1016/j.chaos.2025.116917

Shenglan Yuan

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引用次数: 0

摘要

在这项工作中，探索了一个由两个超导层夹在绝缘层中的约瑟夫森结，它受热波动的影响。在电流-电压特性曲线上显示了顺时针的迟滞周期。此外，还建立了平面极限环的分岔。考虑电导、电流偏置和噪声强度这三个具体参数的影响，描述了电阻并联超导隧道结系统的众多随机热力学性质。此外，利用Fokker-Planck方程对概率密度进行了表征。至关重要的是，模拟揭示了一个中等热噪声强度的制度，最大限度地延长了亚稳态寿命。这种以非单调平均首次通过时间曲线为特征的噪声增强稳定性效应，证明了噪声如何稳定或加速屏障逃逸。

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Stochastic dynamics of the resistively shunted superconducting tunnel junction system under the impact of thermal fluctuations

In this work, a Josephson junction consisting of two superconducting layers sandwiching an insulating layer is explored, which is subject to the effects of thermal fluctuations. A clockwise hysteresis cycle in the current–voltage characteristic curve is demonstrated. Additionally, the bifurcation of a planar limit cycle is established. The numerous stochastic thermodynamic properties of the resistively shunted superconducting tunnel junction system are described, considering the influence of three specific parameters: conductance, current bias and noise intensity. Moreover, the probability density is characterized using the Fokker–Planck equation. Crucially, simulations reveal a regime of intermediate thermal noise intensities that maximizes metastable state lifetimes. This noise-enhanced stability effect, characterized by non-monotonic mean first passage time profiles, demonstrates how noise can stabilize or accelerate barrier escape.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.