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

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

doi:10.1103/physreve.100.062102

Cited by 14 publications

(15 citation statements)

References 41 publications

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“…At this circumstance our check of the coefficients, H 4 , H 5 and H 8 in the respective Fokker-Planck equation in Ref. [2] suggests that H 4 = H 5 = H 8 = 0. Thus taking care of all the comments (including typo and the rearrangement of the Fokker-Planck equation) in Sec.V (in Ref.…”

mentioning

confidence: 78%

“…Very recently, the FPE equation for a non-Markovian harmonic oscillator across a magnetic field has been derived by the characteristic function in Ref. [2]. Here it has been shown that a few extra terms appear in the FPE compared to Ref.…”

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confidence: 97%

“…Now we have to compare the above equation with the Fokker-Planck equation which is derived recently in Ref. [2] for the same equations of motion and the associated distribution function. Then one can easily find out that the FPE in [2] contains additional three terms with the coefficients, H 4 , H 5 and H 8 , respectively.…”

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confidence: 97%

“…[1]. Then to reexamine our calculation we started with the relevant Langevin equations of motion [1,2],…”

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confidence: 99%

“…[2] for the same equations of motion and the associated distribution function. Then one can easily find out that the FPE in [2] contains additional three terms with the coefficients, H 4 , H 5 and H 8 , respectively. The remaining terms exactly correspond with each other.…”

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confidence: 99%

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

Das,

Bag

2020

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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.

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confidence: 78%

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confidence: 97%

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confidence: 97%

“…[1]. Then to reexamine our calculation we started with the relevant Langevin equations of motion [1,2],…”

mentioning

confidence: 99%

mentioning

confidence: 99%