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Condensed Matter > Statistical Mechanics

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

Abstract: In a recent paper Das {\it et al.} [J. Chem. Phys. {\bf 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. Jim\'enez-Aquino [Phys. Rev. E {\bf{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 {\it 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.
Comments: arXiv admin note: text overlap with arXiv:2011.09771
Subjects: Statistical Mechanics (cond-mat.stat-mech)
DOI: 10.1103/PhysRevE.103.046101
Cite as: arXiv:2012.13941 [cond-mat.stat-mech]
  (or arXiv:2012.13941v2 [cond-mat.stat-mech] for this version)

Submission history

From: Bidhan Bag [view email]
[v1] Sun, 27 Dec 2020 13:33:33 GMT (7kb)
[v2] Thu, 8 Apr 2021 14:36:00 GMT (7kb)

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