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    Absolute negative mobility induced by nonlinear interparticle coupling

    Wenjun Liu (刘文君), Haojie Luo (罗浩杰), and Lei Wang (王雷)*

    • School of Physics, Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, and Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, People's Republic of China

    • *Contact author: phywanglei@ruc.edu.cn

    Phys. Rev. E 113, 024138 – Published 25 February, 2026

    DOI: https://doi.org/10.1103/mqqn-5hp6

    Abstract

    We study two inertial Brownian particles with nonlinear coupling in a symmetric periodic potential and subjected to an unbiased harmonic driving in combination with a constant external force. The study focuses on the key role of the nonlinear interaction in inducing the absolute negative mobility. It is revealed that, due to the phase locking effect, with proper strength of nonlinearity, the system may be pushed much more easily into a stable regular trajectory, in which the phase of the relative motion and that of the temporally periodic driving are bounded to a desired phase difference. The overall mobility can be notably negative. The evident connection between the phase locking and the negative mobility is then observed. Furthermore, the robustness under perturbation of external noise can be partly improved in some cases. The way of tuning the collective mobility of a microscopic system via adjusting its internal interactions is thus broadened.

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