Scholarlink

<p>Minimizing energy dissipation in finite-time operations and non-equilibrium steady states (NESS) remains a paramount challenge for micro- and nano-scale devices. This study systematically investigates the mechanisms of entropy production in Langevin systems and proposes a comprehensive theoretical framework for dissipation optimization. Through analytical and numerical solutions of the Langevin and Fokker–Planck equations, we first reveal a non-monotonic “unimodal” evolution of the non-adiabatic entropy production rate under finite-time driving (varying temperature, stiffness, and non-conservative forces), driven by the competition between external modulation and intrinsic relaxation. Furthermore, by utilizing a dual-coupled Brownian oscillator model, we elucidate how temperature gradients, coupling strength, and friction asymmetry modulate continuous adiabatic energy dissipation in NESS. To overcome the dissipation bottleneck, we systematically develop and compare three optimal control strategies: (1) geodesic protocols derived via thermodynamic geometry in the linear response regime; (2) exact optimal protocols derived via the calculus of variations which is&#xa0;capable of addressing arbitrary driving durations; and (3) auxiliary potential protocols within the Shortcuts to Isothermality (STI) framework designed to counteract far-from-equilibrium effects during rapid driving. Numerical simulations confirm that these advanced protocols significantly outperform conventional linear driving, with the STI method reducing total entropy production by up to 57% in fast-driving regimes. This work bridges the gap between transient evolution and steady-state transport, offering robust theoretical guidelines for designing high-efficiency and low-dissipation nanomachines.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimal Protocols for Minimizing Entropy Production in Finite-Time Stochastic Thermodynamics

  • 期刊论文

  • 发表日期：

    2026年5月12日

查看全文
  • Yaorui Shen,
  • Baiping He,
  • Hao Zhu,
  • Chao Li,
  • Jianqin Fu

摘要

Minimizing energy dissipation in finite-time operations and non-equilibrium steady states (NESS) remains a paramount challenge for micro- and nano-scale devices. This study systematically investigates the mechanisms of entropy production in Langevin systems and proposes a comprehensive theoretical framework for dissipation optimization. Through analytical and numerical solutions of the Langevin and Fokker–Planck equations, we first reveal a non-monotonic “unimodal” evolution of the non-adiabatic entropy production rate under finite-time driving (varying temperature, stiffness, and non-conservative forces), driven by the competition between external modulation and intrinsic relaxation. Furthermore, by utilizing a dual-coupled Brownian oscillator model, we elucidate how temperature gradients, coupling strength, and friction asymmetry modulate continuous adiabatic energy dissipation in NESS. To overcome the dissipation bottleneck, we systematically develop and compare three optimal control strategies: (1) geodesic protocols derived via thermodynamic geometry in the linear response regime; (2) exact optimal protocols derived via the calculus of variations which is capable of addressing arbitrary driving durations; and (3) auxiliary potential protocols within the Shortcuts to Isothermality (STI) framework designed to counteract far-from-equilibrium effects during rapid driving. Numerical simulations confirm that these advanced protocols significantly outperform conventional linear driving, with the STI method reducing total entropy production by up to 57% in fast-driving regimes. This work bridges the gap between transient evolution and steady-state transport, offering robust theoretical guidelines for designing high-efficiency and low-dissipation nanomachines.