Brownian motion of a charged test particle near a reflecting boundary at finite temperature

Yu, Hongwei; Chen, Jun; Wu, Puxun

doi:10.1088/1126-6708/2006/02/058

Cited by 34 publications

(45 citation statements)

References 10 publications

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“…Before closing, it is worth making a parallel with the similar system of a charged test particle interacting with the vacuum fluctuations of the electromagnetic field in the presence of a perfectly conducting flat wall [7][8][9][10][12][13][14]. First of all, when a sudden switching is implemented, the dispersions of the velocity components perpendicular and parallel to the wall are plagued with the same sort of divergences at z = 0 and τ = 2z as it occurs in the scalar field case.…”

Section: Final Remarksmentioning

confidence: 99%

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Camargo

Lorenci

Ribeiro

et al. 2018

J. High Energ. Phys.

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The contribution from quantum vacuum fluctuations of a real massless scalar field to the motion of a test particle that interacts with the field in the presence of a perfectly reflecting flat boundary is here investigated. There is no quantum induced dispersions on the motion of the particle when it is alone in the empty space. However, when a reflecting wall is introduced, dispersions occur with magnitude dependent on how fast the system evolves between the two scenarios. A possible way of implementing this process would be by means of an idealized sudden switching, for which the transition occurs instantaneously. Although the sudden process is a simple and mathematically convenient idealization it brings some divergences to the results, particularly at a time corresponding to a round trip of a light signal between the particle and the wall. It is shown that the use of smooth switching functions, besides regularizing such divergences, enables us to better understand the behavior of the quantum dispersions induced on the motion of the particle. Furthermore, the action of modifying the vacuum state of the system leads to a change in the particle energy that depends on how fast the transition between these states is implemented. Possible implications of these results to the similar case of an electric charge near a perfectly conducting wall are discussed.

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Section: Final Remarksmentioning

confidence: 99%

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Camargo

Lorenci

Ribeiro

et al. 2018

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Because of the idealizations assumed in the description of the system, the dispersions are plagued with some divergences. Several aspects about this system were discussed in the literature, as for instance, the generalization to the case with two reflecting walls [3], the behaviour of the dispersions when finite temperature effects are included [4], and the implementation of switching mechanisms [5][6][7], among others. Particularly, it was shown [7] that the assumption of a smooth switching connecting the two distinct states of the system -the particle in empty space and in the presence of a conducting wallis enough to regularize all divergences found in the original model.…”

Section: Introductionmentioning

confidence: 99%

“…Finite temperature effects were also examined. Similarly to the case of zero temperature, the divergences appearing in the dispersions when a sudden switching is implemented [4] are naturally regularized when a smooth transition is implemented. One interesting aspect unveiled by the implementation of the smooth switching is that thermal effects over the motion of the particle can be comparable to, or even greater than, vacuum effects arbitrarily near the boundary.…”

Section: Introductionmentioning

confidence: 99%

Remarks on the influence of quantum vacuum fluctuations over a charged test particle near a conducting wall

Lorenci

Ribeiro

2019

J. High Energ. Phys.

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Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance when a conducting boundary is introduced, dispersions of the particle velocity may occur. As a consequence, besides the existence of classical effects due to the interaction between particle and boundary, there will be a quantum contribution to the motion of the particle whose magnitude depends on how fast the transition between the different vacuum states occurs. Here this issue is revisited and a smooth transition with a controllable switching time between the vacuum states of the system is implemented. Dispersions of the particle velocity in both, zero and finite temperature regimes are examined. More than just generalizing previous results for specific configurations, new effects are unveiled. Particularly, it is shown that the well known vacuum dominance reported to occur arbitrarily near the wall is a consequence of assumed idealizations. The use of a controllable switching enables us to conclude that thermal effects can be as important as, or even stronger than, vacuum effects arbitrarily near the wall. Additionally, the residual effect predicted to occur in the late time regime was here shown to be linked to the duration of the transition. In this sense, such effect is understood to be a sort of particle energy exchanging due to the vacuum state transition. Furthermore, in certain arrangements a sort of cooling effect over the motion of the particle can occur, i.e., the kinetic energy of the particle is lessen by a certain amount due to subvacuum quantum fluctuations.

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“…In what follows, we will apply the previously developed formalism to study the rate of change of the energy of an atom immersed in a thermal bath of external field with a boundary at z = 0. In such a thermal case, the vacuum expectation value in (5), (6), (7) and then (11), (12) should be replaced by thermal average [7]. The two point function of the electric field four potential A µ can be written as [12] 0|A…”

Section: The Case Of An Atom Near a Reflecting Boundary At Finite mentioning

confidence: 99%

The Formalism for Energy Changing Rate of an Accelerated Atom Coupled with Electromagnetic Vacuum Fluctuations

Zhang

2016

Found Phys

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The structure of the rate of variation of the atomic energy for an arbitrary stationary motion of the atom in interaction with a quantum electromagnetic field is investigated. Our main purpose is to rewrite the formalism in Ref. [9] and to deduce the general expressions of the Einstein A coefficients of an atom on an arbitrary stationary trajectory. The total rate of change of the energy and Einstein coefficients of the atom near a plate with finite temperature or acceleration are also investigated.

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Brownian motion of a charged test particle near a reflecting boundary at finite temperature

Cited by 34 publications

References 10 publications

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Remarks on the influence of quantum vacuum fluctuations over a charged test particle near a conducting wall

The Formalism for Energy Changing Rate of an Accelerated Atom Coupled with Electromagnetic Vacuum Fluctuations

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