Dragging of an electrically charged particle in a magnetic field

Jiménez–Aquino, J. I.; Velasco, R. M.; Uribe, F. J.

doi:10.1103/physreve.78.032102

Cited by 14 publications

(16 citation statements)

References 12 publications

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“…The generalizations to arbitrary transitions between non-equilibrium stationary states [42,43] have also been verified in the experiment [28]. Recently, TFT has been proved for the Brownian motion of a classical harmonic oscillator under the action of a magnetic field [44][45][46], and the JE has been used in [44,46] to show its consistency with the Bohr-van Leeuwen (BvL) theorem in the absence of orbital diamagnetism in a classical system of charged particles in thermodynamic equilibrium [51]. However, to the best of our knowledge, the fluctuation relations and the JE for a charged harmonic oscillator in an electromagnetic field have not been tested experimentally.…”

Section: Introductionmentioning

confidence: 71%

Work-fluctuation theorems for a particle in an electromagnetic field

Jiménez–Aquino¹,

Uribe²,

Velasco³

2010

J. Phys. A: Math. Theor.

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The theoretical study about the transient and stationary fluctuation theorems is extended to include the effects of electromagnetic fields on a charged Brownian particle. In particular, we consider a harmonic trapped Brownian particle under the action of a constant magnetic field pointing perpendicular to a plane and a time-dependent electric field acting on this plane. The electric field is seen to be responsible for the motion of the center in the harmonic trap, giving as a result a time-dependent dragging. Our study is focused on the solution of the Smoluchowski equation associated with the over-damped Langevin equation and also considers two particular cases for the motion of the harmonic trap minimum. The first one is produced by a linear time-dependent electric field and, in the second case an oscillating electric field produces a circular motion. In this last case we have found resonant behavior in the mean work when the electric field is tuned with Larmor's frequency. Some comparisons are made with other works in the absence of the magnetic field.

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Section: Introductionmentioning

confidence: 71%

Work-fluctuation theorems for a particle in an electromagnetic field

Jiménez–Aquino¹,

Uribe²,

Velasco³

2010

J. Phys. A: Math. Theor.

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“…In his celebrated 1943 Brownian motion paper [11], Chandrasekhar outlined the method for solving a Brownian particle in a general field of force. It took approximately sixty years to report exact solutions for the Brownian motion of a charged particle in uniform and static electric and/or magnetic fields [71]- [85] (see also some previous related works [86,87]).…”

Section: : Introductionmentioning

confidence: 99%

Charged Brownian particles: Kramers and Smoluchowski equations and the hydrothermodynamical picture

Lagos

Simões

2011

Physica A: Statistical Mechanics and its Applications

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a b s t r a c tWe consider a charged Brownian gas under the influence of external and non-uniform electric, magnetic and mechanical fields, immersed in a non-uniform bath temperature. With the collision time as an expansion parameter, we study the solution to the associated Kramers equation, including a linear reactive term. To the first order we obtain the asymptotic (overdamped) regime, governed by transport equations, namely: for the particle density, a Smoluchowski-reactive like equation; for the particle's momentum density, a generalized Ohm's-like equation; and for the particle's energy density, a Maxwell-Cattaneo-like equation. Defining a nonequilibrium temperature as the mean kinetic energy density, and introducing Boltzmann's entropy density via the one particle distribution function, we present a complete thermohydrodynamical picture for a charged Brownian gas. We probe the validity of the local equilibrium approximation, Onsager relations, variational principles associated to the entropy production, and apply our results to: carrier transport in semiconductors, hot carriers and Brownian motors. Finally, we outline a method to incorporate non-linear reactive kinetics and a mean field approach to interacting Brownian particles.

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“…Work distributions had been studied for various protocols. Using Jarzynski equality it had been shown that though the distribution of work depends on the magnetic field, the free energy is not [19][20][21][22]. One can write the model Hamiltonian of such systems when isolated from the bath as…”

Section: System and Its Dynamicsmentioning

confidence: 99%

Extracting work from a single heat bath: A case study of a Brownian particle under an external magnetic field in the presence of information

Pal¹,

Rana²,

Saha

et al. 2014

Phys. Rev. E

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Work can be extracted from a single bath beyond the limit set by the second law of thermodynamics by performing measurement on the system and utilizing the acquired information. This imposes an upper bound on extracted work and maintains a generalized (i.e., with information) second law. As an example, we studied a Brownian particle confined in a two-dimensional harmonic trap in the presence of a magnetic field, whose position coordinates are measured with finite precision. Two separate cases are investigated in this study: (A) moving the center of the potential and (B) varying the stiffness of the potential. Optimal protocols that extremize the work in a finite-time process are explicitly calculated for these two cases. For case A, we show that even though the optimal protocols depend on magnetic field, surprisingly, extracted work is independent of the field. For case B, both the optimal protocol and the extracted work depend on the magnetic field. However, the presence of a magnetic field always reduces the extraction of work for the latter case.

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Dragging of an electrically charged particle in a magnetic field

Cited by 14 publications

References 12 publications

Work-fluctuation theorems for a particle in an electromagnetic field

Work-fluctuation theorems for a particle in an electromagnetic field

Charged Brownian particles: Kramers and Smoluchowski equations and the hydrothermodynamical picture

Extracting work from a single heat bath: A case study of a Brownian particle under an external magnetic field in the presence of information

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