布朗闪烁棘轮中的非对称性控制共振输运
Asymmetry-controlled resonant transport in a Brownian flashing ratchet
- Indian Institute of Science Education and Research Mohali（印度科学教育研究院摩哈利分校）
- Tata institute of fundamental research（塔塔基础研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究针对带分段线性不对称周期势的一维布朗闪烁棘轮，通过数值模拟揭示其稳态电流对切换频率的非单调依赖关系，明确了共振频率的标度规律并给出物理解释。
AI中文摘要：
我们研究具有分段线性不对称周期势的一维布朗闪烁棘轮中的定向输运。对福克-普朗克方程的数值解及布朗动力学模拟表明，稳态电流对切换频率呈非单调依赖关系，存在一个共振最大值，其位置依赖于势不对称度δ和势垒高度Δ。对于中等不对称度|δ|<0.5，电流满足一种标度形式，可将势参数的依赖与共同的频率依赖分离，通过对电流和频率进行适当标度可实现数据塌缩。电流幅度随δ线性变化，而共振频率遵循ν(δ,Δ)=ν₀(Δ)/[1−b₀δ²]。我们从沿不对称势两支路的耦合弛豫角度解释了所得的(1−δ²)⁻¹标度，为观测到的共振频率对势不对称度的依赖关系提供了物理基础。
英文摘要：
We investigate directed transport in a one-dimensional Brownian flashing ratchet with a piecewise-linear asymmetric periodic potential. Numerical solutions of the Fokker--Planck equation and Brownian dynamics simulations reveal a nonmonotonic dependence of the stationary current on the switching frequency, with a resonant maximum whose position depends on the potential asymmetry $δ$ and barrier height $Δ$. For moderate asymmetry, $|δ|<0.5$, the current obeys a scaling form that separates the dependence on the potential parameters from a common frequency dependence, resulting in a data collapse upon appropriate scaling of the current and frequency. The current amplitude varies linearly with $δ$, while the resonance frequency follows $ν(δ,Δ)=ν_0(Δ)/ [1-b_0\, δ^2]$. We interpret the resulting $(1-δ^2)^{-1}$ scaling in terms of coupled relaxation along the two branches of the asymmetric potential, which provides a physical basis for the observed dependence of the resonant frequency on the potential asymmetry.
