中国物理B ›› 2010, Vol. 19 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/19/6/060502

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Entropy-variation with resistance in a quantized RLC circuit derived by the generalized Hellmann－Feynman theorem

胡利云1, 范洪义2, 徐学翔3   

  1. (1)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; (3)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
  • 收稿日期:2009-09-18 出版日期:2010-06-15 发布日期:2010-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~10775097 and 10874174), and the Research Foundation of the Education Department of Jiangxi Province of China (Grant No.~GJJ10097).

Entropy-variation with resistance in a quantized RLC circuit derived by the generalized Hellmann－Feynman theorem

Fan Hong-Yi(范洪义)a), Xu Xue-Xiang(徐学翔)a)b), and Hu Li-Yun(胡利云)b)†   

  1. a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
  • Received:2009-09-18 Online:2010-06-15 Published:2010-06-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos.~10775097 and 10874174), and the Research Foundation of the Education Department of Jiangxi Province of China (Grant No.~GJJ10097).

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摘要： By virtue of the generalized Hellmann--Feynman theorem for the ensemble average, we obtain the internal energy and average energy consumed by the resistance R in a quantized resistance--inductance--capacitance (RLC) electric circuit. We also calculate the entropy-variation with R. The relation between entropy and R is also derived. By the use of figures we indeed see that the entropy increases with the increment of R.

Abstract: By virtue of the generalized Hellmann--Feynman theorem for the ensemble average, we obtain the internal energy and average energy consumed by the resistance R in a quantized resistance--inductance--capacitance (RLC) electric circuit. We also calculate the entropy-variation with R. The relation between entropy and R is also derived. By the use of figures we indeed see that the entropy increases with the increment of R.

Key words: entropy, RLC circuit, generalized Hellmann--Feynman theorem

中图分类号:  (Circuit theory)

  • 84.30.Bv
05.70.Ce (Thermodynamic functions and equations of state)