SSRScientific and Social Research2661-43322981-9946Bio-Byword Scientific Publishing Pty. Ltd.10.26689/ssr.v7i3.10041ArticleDiffusion Study of Coupled Brownian Ratchethttps://artdesignp.com/journal/SSR/7/3/10.26689/ssr.v7i3.10041FuTianqi,ShenBoyang,SongQi,FanLiming2025732025-04-03In this paper, the effective diffusion coefficient of the coupled Brownian ratchet is studied. Langevin equation is used to describe the coupled Brownian ratchet model, and the Runge-Kutta algorithm is used to solve the equation. The average velocity of the coupled Brownian particle is obtained, and the effective diffusion coefficient of the coupled ratchet is further calculated. The numerical calculation method of the effective diffusion coefficient of coupled Brownian particles has been widely used in many research fields. By using this numerical strategy, researchers can deeply understand the dynamic behavior of complex systems and provide theoretical support for the research and application in related fields.

Iino R, Kinbara K, Bryant Z, 2020, Introduction: Molecular Motors. Chemical Reviews, 120(1): 1–4.

Purcell EM, 1977, Life at Low Reynolds Number. American Journal of Physics, 45(1): 3–11.

Shu YG, Ouyang ZC, 2007, Biomolecular Motor. Physics, 36(10): 7.

Sahoo M, Jayannavar AM, 2017, Stokes Efficiency and its Stochastic Properties. Physica A: Statistical Mechanics and its Applications, 2017(465): 40–48.

Ai BQ, 2023, Brownian Motors Powered by Nonreciprocal Interactions. Physical Review, 108(6 Pt.A): 064409.

He YF, Ai BQ, Dai CX, et al., 2020, Experimental Demonstration of a Dusty Plasma Ratchet Rectification and Its Reversal. Physical Review Letters, 124(7): 075001.

Ai BQ, Ma J, Zeng YF, 2023, Emergence of Macroscopic Directional Motion of Deformable Active Cells in Confined Structures. Physical Review E, 107(2): 024406.

Sandor Cs, Libal A, Reichhardt C, et al., 2017, Collective Transport for Active Matter Run-and-tumble Disk Systems on a Traveling-wave Substrate. Physical Review E, 95(1): 12607.

Strand NE, Fu RS, Gingrich TR, 2020, Current Inversion in a Periodically Driven Two-dimensional Brownian Ratchet. Physical Review E, 102(1): 012141.

Silva C, De Vondel J, Morelle M, et al., 2006, Controlled Multiple Reversals of a Ratchet Effect. Nature, 440(7084): 651–654.

Straube AV, Tierno P, Stoop RL, et al., 2020, Collective Directional Locking of Colloidal Monolayers on a Periodic Substrate. Physical Review Letter, 124(5): 058002.

Kalinay P, Slanina F, 2023, Ratchet Effect in an Asymmetric Two-dimensional System of Janus Particles. Physical Review E, 108(1): 014606.

Muhsin M, Sahoo M, 2023, Inertial Active Ratchet: Simulation Versus Theory. Physical Review E, 107(5–1): 054601.

Li CP, Chen HB, Zheng ZG, 2017, Double-temperature Ratchet Model and Current Reversal of Coupled Brownian Motors. Frontiers of Physics, 12(6): 10.

Xu J, Luo X, 2019, Ratchet Effects of a Brownian Particle System with non-Gaussian Noise Driven by a Biharmonic Force. Modern Physics Letters B, 33(20): 1950230.