Correlations in multithermostat Brownian systems with Lorentz force

Abdoli, Iman; Kalz, Erik; Vuijk, Hidde Derk; Wittmann, René; Sommer, Jens‐Uwe; Brader, Joseph M.; Sharma, Abhinav

doi:10.1088/1367-2630/abb43d

Cited by 18 publications

(21 citation statements)

References 37 publications

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“…This reflects similar governing principles and peculiarities observed in polar active models [28,29]. Moreover, the concept of a second temperature successfully describes other systems, ranging from biology to plasma physics [30][31][32][33][34][35][36][37][38][39].…”

supporting

confidence: 53%

Long-time diffusion and energy transfer in polydisperse mixtures of particles with different temperatures

Ilker,

Castellana,

Joanny

2021

Preprint

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Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size-and composition-dependent manner. The collisions generate additional friction on the particle while, on top of that, for nonequilibrium (active) systems, the collisions can also lead to an exchange of energy between different types of particles. Accordingly, the long-time diffusion coefficient of a tagged particle is shaped by the interplay between the effective friction and the energy transfer. Using a system of particles with different temperatures, we probe these effects in dilute solutions and derive long-time friction and self-diffusion coefficients as functions of volume fractions, sizes and temperatures of particles. Remarkably, we show that both viscosity and energy flux display a nonlinear dependence on size. The simplicity of our formalism allows to discover various interesting scenarios that can be relevant for biological systems.

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supporting

confidence: 53%

Long-time diffusion and energy transfer in polydisperse mixtures of particles with different temperatures

Ilker,

Castellana,

Joanny

2021

Preprint

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“…where the matrix D D D can be derived from Eq. ( 2) 47 or alternatively by using a first-priciple approach 53 , which is given as…”

Section: Steady-state Propertiesmentioning

confidence: 99%

“…The dissipation of energy from the hot to the cold bath occurs on the time scale of velocity correlations which scale inversely with the mass of the particle. The steady state is thus characterised by correlations between different velocity components 53 . This implies that even in the overdamped regime one cannot disregard the inertia-dependent heat loss in the engine.…”

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, the behaviour of diffusion systems subjected to an external magnetic field has attracted considerable interest [28][29][30][31][32][33][34][35][36][37][38][39] . It has been shown that Lorentz force due to an external magnetic field induces additional Lorentz fluxes in diffusion systems a Leibniz-Institut für Polymerforschung Dresden, Institut Theorie der Polymere, 01069 Dresden, Germany; E-mail: sharma@ipfdd.de b Technische Universität Dresden, Institut für Theoretische Physik, 01069 Dresden, Germany which are perpendicular to the typical diffusive fluxes 33,35 .…”

Section: Introductionmentioning

confidence: 99%

Stochastic resetting of active Brownian particles with Lorentz force

Abdoli¹,

Sharma²

2020

Preprint

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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 depend on both the strength and the polarity of the applied magnetic field. The intriguing effects of the Lorentz force, however, can only be observed when out-of-equilibrium density gradients are maintained in the system. To this end, we use the method of stochastic resetting on active Brownian particles in two dimensions by resetting them to the line x = 0 at a constant rate and periodicity in the y direction. Under stochastic resetting, an active system settles into a nontrivial stationary state which is characterized by an inhomogeneous density distribution, polarization and bulk fluxes perpendicular to the density gradients. We show that whereas for a uniform magnetic field the properties of the stationary state of the active system can be obtained from its passive counterpart, novel features emerge in the case of an inhomogeneous magnetic field which have no counterpart in passive systems. In particular, there exists an activity-dependent threshold rate such that for smaller resetting rates, the density distribution of active particles becomes non-monotonic. We also study the mean first-passage time to the x axis and find a surprising result: it takes an active particle more time to reach the target from any given point for the case when the magnetic field increases away from the axis. The theoretical predictions are validated using Brownian dynamics simulations.

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Correlations in multithermostat Brownian systems with Lorentz force

Cited by 18 publications

References 37 publications

Long-time diffusion and energy transfer in polydisperse mixtures of particles with different temperatures

Long-time diffusion and energy transfer in polydisperse mixtures of particles with different temperatures

Brownian magneto-gyrator as a tunable microengine

Stochastic resetting of active Brownian particles with Lorentz force

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