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  • Quantum dissipative effect on the thermodynamics of an electron in the combined presence of a parabolic potential and a uniform (and homogeneous) magnetic field, is investigated here. Starting from the microscopic system plus bath model, we explicitly derive the thermodynamic properties using the reduced partition function of the system which is calculated using the imaginary time path integral method. The quantum heat bath we consider here is a structured heat bath whose spectral density corresponds to a structured thermal harmonic noise. All the statistical thermodynamic functions calculated do reconcile with the requirements of the fundamental axioms of physics. In particular, the specific heat and the entropy vanishes as the temperature approaches its absolute zero value, a necessity of the third law of thermodynamics. Moreover the specific heat satisfies classical equipartition theorem at high temperatures. The coefficients of the leading temperature dependent terms of the thermodynamic quantities depend only on the damping constant but not on other parameters of the bath spectral density, which is similar to the analysis based on the Drude bath spectral density. Our study facilitates the physics of small quantum systems, which are always in contact with some environments, at very low temperatures.
  • Quantum dissipative effect on the thermodynamics of an electron in the combined presence of a parabolic potential and a uniform (and homogeneous) magnetic field, is investigated here. Starting from the microscopic system plus bath model, we explicitly derive the thermodynamic properties using the reduced partition function of the system which is calculated using the imaginary time path integral method. The quantum heat bath we consider here is a structured heat bath whose spectral density corresponds to a structured thermal harmonic noise. All the statistical thermodynamic functions calculated do reconcile with the requirements of the fundamental axioms of physics. In particular, the specific heat and the entropy vanishes as the temperature approaches its absolute zero value, a necessity of the third law of thermodynamics. Moreover the specific heat satisfies classical equipartition theorem at high temperatures. The coefficients of the leading temperature dependent terms of the thermodynamic quantities depend only on the damping constant but not on other parameters of the bath spectral density, which is similar to the analysis based on the Drude bath spectral density. Our study facilitates the physics of small quantum systems, which are always in contact with some environments, at very low temperatures. (en)
Title
  • Thermodynamics of a quantum dissipative charged magneto-oscillator
  • Thermodynamics of a quantum dissipative charged magneto-oscillator (en)
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  • Thermodynamics of a quantum dissipative charged magneto-oscillator
  • Thermodynamics of a quantum dissipative charged magneto-oscillator (en)
skos:notation
  • RIV/00216208:11320/14:10289321!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I
http://linked.open...iv/cisloPeriodika
  • 11-12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Thusharabhavan Murali, Jishadkumar
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 50394
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10289321
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • structured environment; equilibrium thermodynamics; quantum dissipation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [8CCA3C286F47]
http://linked.open...i/riv/nazevZdroje
  • Annalen der Physik (Leipzig)
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 526
http://linked.open...iv/tvurceVysledku
  • Thusharabhavan Murali, Jishadkumar
http://linked.open...ain/vavai/riv/wos
  • 000347231500004
issn
  • 0003-3804
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/andp.201400061
http://localhost/t...ganizacniJednotka
  • 11320
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