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arXiv · 2012.13941

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

Joydip Das·Bidhan Chandra Bag
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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.

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Joydip Das, Bidhan Chandra Bag. 2020-12-27. Comment on "Non-Markovian harmonic oscillator across a magnetic field and time dependent force fields". https://doi.org/10.1103/physreve.103.046101

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