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Non-equilibrium diffusion characteristics of the particles system and its application

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Abstract

In this paper, we discuss a possible generalization of the social influences of the Langevin equation. Using a functional method of the Kramers–Moyal expansion coefficients, we prove a simple rule for the corresponding Fokker–Planck equation for a generalized one-dimensional system driven by associated Gaussian noise. We propose here a generalization of the nonequilibrium behavior of the probability density and probability currents induced by different combinations of parameters. In addition, it is interesting to find that the probability of current transport reversal can be obtained by varying the combination of parameters, but the amplitude of the negative and positive currents is controlled by adjusting the interaction coefficient and the intensity factor of the outfield, respectively.

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Data Availability Statement

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (12001015 and 11861003), the Natural Science Foundation of Ningxia (2021AAC03206), the First-Class Disciplines Foundation of Ningxia in China (Grant No. NXYLXK2017B09).

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Authors and Affiliations

  1. School of Civil Engineering, Hefei University of Technology, Hefei, 230009, Anhui, China

    Jianqiang Dong & Chunguang Li

  2. The Key Laboratory of Intelligent Information and Big Data Processing of Ningxia Province, North Minzu University, Yinchuan, 750021, China

    Jianqiang Dong & Chunguang Li

  3. School of Advanced Interdisciplinary, Ningxia University, Yinchuan, 750021, China

    Peng Wang & Junxia Liu

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  1. Jianqiang Dong
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  2. Chunguang Li
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  3. Peng Wang
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Correspondence to Peng Wang.

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Dong, J., Li, C., Wang, P. et al. Non-equilibrium diffusion characteristics of the particles system and its application. Eur. Phys. J. Plus 137, 874 (2022). https://doi.org/10.1140/epjp/s13360-022-03049-z

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