https://doi.org/10.1140/epjp/s13360-024-05513-4
Regular Article
Magnetic field-induced anomalous distribution of particles
1
Department of Chemistry, Physical Chemistry Section, Jadavpur University, 700092, Kolkata, India
2
Department of Chemistry, Visva-Bharati, 731235, Santiniketan, India
a
shrabanim.chemistry@jadavpuruniversity.in
d
bidhanchandra.bag@visva-bharati.ac.in
Received:
10
February
2024
Accepted:
28
July
2024
Published online:
18
August
2024
It is well known that the noise-induced transition can be a characteristic of a stochastic process (SP) if and only if it is nonlinear. However, in the present paper, we demonstrate that the transition can occur even in a linear SP. In the presence of a fluctuating magnetic field (FMF), which is Gaussian in nature, the stationary probability density function for a Brownian particle confined in a harmonic potential may be non-Gaussian with multiple extrema. Thus, the distribution of the particle deviates strongly from the expected Boltzmann type, i.e., Gaussian as well as unimodal, and it appears to be an important signature of the FMF with a new mechanism in the field of noise-induced transition. This motivates us to study the distribution of particles in a nonlinear stochastic system where a Brownian particle is confined in a bi-stable potential in the presence of a fluctuating magnetic field. For this system, one may observe the position distribution of the particle with many islands which are not expected from the given potential energy field. Thus, the appearance of the islands corroborates the phenomenon of dynamical localization, which explains the small current in the semiconductor for a given amplitude of the oscillating magnetic field. At the same time, the present study may be useful in exploring the relevant mechanism of the barrier-crossing phenomenon in the presence of a fluctuating magnetic field.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epjp/s13360-024-05513-4.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
