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Dissipative Cyclotron Motion of a Charged Quantum-Oscillator and Third Law

Low Temperature Thermodynamics and Dissipative Cyclotron Motion

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Abstract

In this work, low temperature thermodynamic behavior in the context of cyclotron motion of a charged-oscillator with different coupling schemes is analyzed. We find that finite dissipation substitutes the zero-coupling result of exponential decay of entropy by a power law behavior at low temperature. The power of the power law explicitly depends on the nature of the power spectrum of the heat bath. It is seen that velocity–velocity coupling is the most advantageous coupling scheme to ensure the third law of thermodynamics. The cases of confinement (ω 0≠0) and without confinement (ω 0=0) are discussed separately. It is also revealed that different thermodynamic functions are independent of magnetic field at very low temperature for ω 0≠0, but they depend on cyclotron frequency (ω c =eB/mc) for ω 0=0.

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  1. Chemical Physics Theory Group, Department of Chemistry and Center for Quantum Information and Quantum Control, University of Toronto, 80 St. George Street, Toronto, Ontario, M5S 3H6, Canada

    Malay Bandyopadhyay

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  1. Malay Bandyopadhyay
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Correspondence to Malay Bandyopadhyay.

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Bandyopadhyay, M. Dissipative Cyclotron Motion of a Charged Quantum-Oscillator and Third Law. J Stat Phys 140, 603–618 (2010). https://doi.org/10.1007/s10955-010-9998-4

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