Non-Markovian Brownian motion in a magnetic field and time-dependent force fields

Hidalgo-Gonzalez, J. C.; Jiménez–Aquino, J. I.; Romero-Bastida, M.

doi:10.1016/j.physa.2016.06.133

Cited by 24 publications

(18 citation statements)

References 52 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Equations similar to (2.1), i.e. Langevin equations with magnetic field, were studies at many places in application to plasma physics or stochastic systems [22,23,24,27,40,41,42,43]; see especially [25,44,45,46]. Our focus will be on implications of (2.1) for magnetobiology, i.e.…”

Section: Langevin Equationmentioning

confidence: 99%

See 1 more Smart Citation

Non-equilibrium, weak-field induced magnetism: a mechanism for magnetobiology

Matevosyan,

Allahverdyan

2021

Preprint

View full text Add to dashboard Cite

There is a long-time quest for understanding physical mechanisms of weak magnetic field interaction with biological matter. Two factors impeded the development of such mechanisms: first, a high (room) temperature of a cellular environment, where a weak, static magnetic field induces a tiny (classically zero) equilibrium response. Second, the friction in the cellular environment is very large, preventing a weak field to alter non-equilibrium processes such as a free diffusion of charges. Here we study a class of non-equilibrium steady states of a cellular ion in a confining potential, where the response to a (weak, homogeneous, static) magnetic field survives strong friction and thermal fluctuations. The magnetic field induces a rotational motion of the ion that proceeds with the cyclotron frequency. In particular, such non-equilibrium states are generated by a white noise acting on the ion additionally to the (non-local) friction and noise generated by an equilibrium thermal bath.

show abstract

Section: Langevin Equationmentioning

confidence: 99%

“…( 5.2) belongs to the class of linear oscillators driven subject to non-local friction and noise. Such systems were studied in [24,25,27,40,41,42,43,44,54,55,56,57]. We apply Fourier's transform to ζ and ξ in (5.2):…”

Section: The Anatomy Of Orbital Magnetismmentioning

confidence: 99%

Non-equilibrium, weak-field induced magnetism: a mechanism for magnetobiology

Matevosyan,

Allahverdyan

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…There are several examples where the Brownian motion of the charged particle is found to occur in the condensed phase [2,17,[40][41][42][43]. It is to be noted here that although the study of the Brownian motion of charged particle in the presence of the magnetic field is getting strong attention in different contexts [3][4][5][6][7][8][9][10][11][12][44][45][46][47][48][49][50][51][52] but till now few studies have been reported considering the non-Markovian dynamics [8,9,11,[49][50][51][52]. Most of these studies with non-Markovian dynamics have been done based on the Langevin equation of motion.…”

Section: The Modelmentioning

confidence: 99%

“…The Fokker-Planck equation in the phase space also has been derived in a recent Ref. [52] using a characteristic function for a Brownian charged particle embedded in a memory thermal bath and under the action of force fields: a constant magnetic field and arbitrary timedependent force fields. Based on these methods it is very difficult to write the required Fokker-Planck equations in the energy space or the phase space for the present system where both coordinate and velocity dependent colored multiplicative noises appear.…”

Section: The Modelmentioning

confidence: 99%

Mechanism of barrier crossing dynamics in the presence of both time dependent and independent magnetic fields

Mondal,

Biswas,

Bag

2021

Preprint

View full text Add to dashboard Cite

In this paper we have presented the mechanism of the barrier crossing dynamics of a Brownian particle which is coupled to a thermal bath in the presence of both time independent and fluctuating magnetic fields. Here the following three aspects are important in addition to the role of the thermal bath on the barrier crossing dynamics. Magnetic field induced coupling may introduce a resonance like effect. Another role of the field is that enhancement of its strength reduces the frequency factor of the barrier crossing rate constant. Finally, the fluctuating magnetic field introduces an induced electric field which activates the Brownian particle to cross the energy barrier. As a result of interplay among these aspects versatile non-monotonic behavior may appear in the variation of the rate constant as a function of the strength of the time independent magnetic field.

show abstract

“…Then contribution from the dissipative force is considered by the fourth term [1,4,5]. The next drift term may be identified as due to the magnetic force [1,6]. Although additional drift terms in the presence of a magnetic field do not appear for the Markovian dynamics [3,7] but the non-Markovian dynamics may modify the probability flux.…”

mentioning

confidence: 99%

Comment on "Non-Markovian harmonic oscillator across a magnetic field and time dependent force fields"

Das,

Bag

2020

Preprint

View full text Add to dashboard Cite

In a recent paper Das et al. [J. Chem. Phys. 147, 164102 (2017)] proposed the Fokker-Planck equation (FPE) for the Brownian harmonic oscillator in the presence of magnetic field and the non-Markovian thermal bath, respectively. This system has been studied very recently by J. C. Hidalgo-Gonzalez and J. I. Jiménez-Aquino [Phys. Rev. E 100, 062102 (2019)] and the Fokker-Planck equation was derived using the characteristic function. It includes a few extra terms in the FPE and the authors conclude that their method is accurate compared to the calculation by Das et al.. Then we reexamine our calculation and which is present in this comment. The revised calculation shows that both the methods give the same result.

show abstract

Non-Markovian Brownian motion in a magnetic field and time-dependent force fields

Cited by 24 publications

References 52 publications

Non-equilibrium, weak-field induced magnetism: a mechanism for magnetobiology

Non-equilibrium, weak-field induced magnetism: a mechanism for magnetobiology

Mechanism of barrier crossing dynamics in the presence of both time dependent and independent magnetic fields

Comment on "Non-Markovian harmonic oscillator across a magnetic field and time dependent force fields"

Contact Info

Product

Resources

About