Keywords
Brownian particles
Flashing ratchet
Directed transport
Submitted : 2026-01-14
Accepted : 2026-01-29
Published : 2026-02-13
Abstract
This paper studies the directed transport of Brownian particles in a flashing ratchet under a nonlinear damping environment. The research shows that the nonlinear relationship between the damping term and velocity can transform the system from a passive energy dissipation mode to a nonequilibrium process of actively acquiring energy from the environment. This study not only reveals the complex interaction mechanism between nonlinear damping and system energy dissipation but also breaks the limitations of linear theory in describing nonequilibrium energy conversion. It provides a new theoretical perspective for in-depth understanding of the dynamic behavior of micro-nonequilibrium systems, and has important theoretical significance and application value.
References
Cong ZQ, Ling EC, Ze MD, et al., 2021, A Generalized Irreversible Thermal Brownian Motor Cycle and its Optimal Performance. The European Physical Journal Plus, 136(11): 1190.
Amano S, Esposito M, Kreidt E, et al., 2022, Using Catalysis to Drive Chemistry Away from Equilibrium: Relating Kinetic Asymmetry, Power Strokes, and the Curtin–Hammett Principle in Brownian Ratchets. Journal of the American Chemical Society, 144(44): 19944–19954.
Jia K, Hu L, Nie L, 2024, Symmetric Brownian Motor Subjected to Lévy Noise. Chinese Physics B, 33(2): 020502.
Wiśniewski M, Spiechowicz J, 2025, Memory-induced Current Reversal of Brownian Motors. Physical Review E, 111(2): 024127.
Asfaw MT, 2021, Brownian Motors Arranged on Nontrivial Networks to Achieve Fast Transport. The European Physical Journal B, 94(6): 85.
Ribetto FD, Deghi SE, Calvoet HL, et al., 2022, A Dynamical Model for Brownian Molecular Motors Driven by Inelastic Electron Tunneling. The Journal of Chemical Physics, 157(16): 164102.
Azaldegui AC, Vecchiarelli GA, Biteen SJ, 2025, Brownian Ratchet Mechanisms for Carboxysome Positioning in Bacteria. Current Opinion in Microbiology, 2025(87): 102638.
Rothfischer F, Vogt M, Kopperger E, et al., 2024, From Brownian to Deterministic Motor Movement in a DNA-based Molecular Rotor. Nano Letters, 24(17): 5224–5230.
Defaveri L, Barkai E, Kessler AD, 2025, A Tale of Three Approaches: Dynamical Phase Transitions for Weakly Bound Brownian Particles. Journal of Statistical Physics, 192(2): 31.
Baouche Y, Kurzthaler C, 2025, Optimal First-passage Times of Active Brownian Particles under Stochastic Resetting. Soft Matter, 21(29): 5998–6011.
Spiechowicz J, Marchenko IG, Hänggi P, et al., 2022, Diffusion Coefficient of a Brownian Particle in Equilibrium and Nonequilibrium: Einstein Model and Beyond. Entropy, 25(1): 42.
Meng S, Benjamin L, 2023, Active Brownian Particles in a Biased Periodic Potential. The European Physical Journal E, 46(4): 22.
Roberts C, Sezik E, Lardet E, 2024, Ratchet-mediated Resetting: Current, Efficiency, and Exact Solution. Journal of Physics A: Mathematical and Theoretical, 57(32): 325001.
Straube VA, Höfling F, 2024, Depinning Transition of Self-propelled Particles. Physical Review E, 110(6): 064602.
Caprini L, Marconi UM, 2021, Spatial Velocity Correlations in Inertial Systems of Active Brownian Particles. Soft Matter, 17(15): 4109–4121.