https://doi.org/10.1140/epjp/s13360-022-03049-z
Regular Article
Non-equilibrium diffusion characteristics of the particles system and its application
1
School of Civil Engineering, Hefei University of Technology, 230009, Hefei, Anhui, China
2
The Key Laboratory of Intelligent Information and Big Data Processing of Ningxia Province, North Minzu University, 750021, Yinchuan, China
3
School of Advanced Interdisciplinary, Ningxia University, 750021, Yinchuan, China
Received:
12
May
2022
Accepted:
4
July
2022
Published online:
29
July
2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
