Stochastic resetting of active Brownian particles with Lorentz force

Abdoli, Iman; Sharma, Abhinav

doi:10.1039/d0sm01773f

Cited by 30 publications

(16 citation statements)

References 55 publications

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“…Moreover, the inertial AOUP particle under the action of magnetic field can be extended to more complex situation as in Ref. [54,55].…”

Section: Discussionmentioning

confidence: 99%

“…On the other hand, the dynamics of a charged active Brownian particle when subjected to a space dependent magnetic field, it induces inhomogeneity and flux in the system [54]. Similarly, under stochastic resetting, an active sys-tem in the presence of magnetic field yields some exotic steady state behaviour [55]. Motivated by these recent findings, herein, we explore the transport properties of a charged and inertial active Ornstein-Uhlenbeck particle in a viscous medium and under a static magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field

Muhsin,

Sahoo

2022

Preprint

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We consider an inertial active Ornstein-Uhlenbeck particle in an athermal bath. The particle is charged, constrained to move in a two-dimensional harmonic trap, and a magnetic field is applied perpendicular to the plane of motion. The steady state correlations and the mean square displacement are studied when the particle is confined as well as when it is set free from the trap. With the help of both numerical simulation and analytical calculations, we observe that inertia plays a crucial role in the dynamics in the presence of a magnetic field. In a highly viscous medium where the inertial effects are negligible, the magnetic field has no influence on the correlated behaviour of position as well as velocity. In the time asymptotic limit, the overall displacement of the confined harmonic particle gets enhanced by the presence of magnetic field and saturates for a stronger magnetic field. On the other hand, when the particle is set free, the overall displacement gets suppressed and approaches zero when strength of the field is very high. Interestingly, it is seen that in the time asymptotic limit, the confined harmonic particle behaves like a passive particle and becomes independent of the activity, especially in the presence of a very strong magnetic field. Similarly, for a free particle the mean square displacement in the long time limit becomes independent of activity even for a longer persistence of noise correlation in the dynamics.

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“…Moreover, the inertial AOUP particle under the action of magnetic field can be extended to more complex situation as in Ref. [54,55].…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field

Muhsin,

Sahoo

2022

Preprint

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“…In contrast to typical diffusion tensors, D D D has antisymmetric elements. These give rise to additional rotational fluxes in the system, which are perpendicular to the typical diffusive fluxes 48,50,[56][57][58] . One of the known features of Lorentz forces is the reduction of the diffusion by a factor of 1/(1 + κ 2 ), as can be seen from Eq.…”

Section: Steady-state Propertiesmentioning

confidence: 99%

“…Their study spurred tremendous research into work, heat, and efficiency of microengines in which the time-reversal symmetry is broken [34][35][36][37][38][39][40] . Recently, the effect of Lorentz force has been studied in active and passive colloidal systems which are dominated by overdamped dynamics [41][42][43][44][45][46][47][48][49][50][51] .…”

Section: Introductionmentioning

confidence: 99%

Brownian magneto-gyrator as a tunable microengine

Abdoli,

Wittmann,

Brader

et al. 2021

Preprint

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A Brownian particle performs gyrating motion around a potential energy minimum when subjected to thermal noises from two different heat baths. Here, we propose a magneto-gyrator made of a single charged Brownian particle that is steered by an external magnetic field. Key properties, such as the direction of gyration, the torque exerted by the engine on the confining potential and the maximum power delivered by the microengine can be tuned by varying the strength and direction of the applied magnetic field. Further tunability is obtained by rotating the potential in the plane perpendicular to the direction of the magnetic filed. We show that in this generic scenario, the microengine can be stalled and even reversed by the magnetic field. Finally, we highlight a property of the magneto-gyrator that has no counterpart in the overdamped approximation-the heat loss from the hot to cold bath requires explicit knowledge of the mass of the particle. Consequently, the efficiency of the microengine is mass-dependent even in the overdamped limit.

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“…Recently, a number of groups have explored the possibility of incorporating the activity in the resetting mechanism [50][51][52][53]. A charged ABP subjected to a spatially nonhomogeneous magnetic field has been found to have a nonmonotonic density profile and a higher mean first-passage time compared to its passive counterpart [54]. Further developments have witnessed implications of stochastic resetting in the dynamics of RTPs which serves as the standard model for bacterial motion [51,53].…”

Section: Introductionmentioning

confidence: 99%

Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise

Goswami,

Chakrabarti

2021

Preprint

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We study the dynamics of an overdamped Brownian particle subjected to Poissonian stochastic resetting in a nonthermal bath, characterized by a Poisson white noise and a Gaussian noise. Applying the renewal theory we find an exact analytical expression for the spatial distribution at the steady state. Unlike the single exponential distribution as observed in the case of a purely thermal bath, the distribution is double exponential. Relaxation of the transient spatial distributions to the stationary one, for the limiting cases of Poissonian rate, is investigated carefully. In addition, we study the first-arrival properties of the system in the presence of a delta-function sink with strength κ, where κ = 0 and κ = ∞ correspond to fully nonreactive and fully reactive sinks, respectively. We explore the effect of two competitive mechanisms: the diffusive spread in the presence of two noises and the increase in probability density around the initial position due to stochastic resetting. We show that there exists an optimal resetting rate, which minimizes the mean first-arrival time (MFAT) to the sink for a given value of the sink strength. We also explore the effect of the strength of the Poissonian noise on MFAT, in addition to sink strength. Our formalism generalizes the diffusion-limited reaction under resetting in a nonequilibrium bath and provides an efficient search strategy for a reactant to find a target site, relevant in a range of biophysical processes

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Stochastic resetting of active Brownian particles with Lorentz force

Abstract: The equilibrium properties of a system of passive diffusing particles in an external magnetic field are unaffected by the Lorentz force. In contrast, active Brownian particles exhibit steady-state phenomena that...

Cited by 30 publications

References 55 publications

Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field

Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field

Brownian magneto-gyrator as a tunable microengine

Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise

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