Poisson models for noisy nonlinear devices

This paper investigates further thermodynamic properties of the shot-noise model for nonlinear devices. Under the same constraint on the two Poisson process rates found in those papers, the shot-noise model satisfies thermodynamic requirements when connected to more general networks. Specific examples of a time-varying capacitor and a parallel combination of an inductor and a capacitor are developed. A heat engine is designed that extracts work from two shot-noise devices at different temperatures, and its efficiency is compared to the Carnot engine.

[1]  H. Nyquist Thermal Agitation of Electric Charge in Conductors , 1928 .

[2]  Thermodynamic validity of noise models for nonlinear resistive devices , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[3]  G. J. Coram,et al.  Nonlinear device noise models: Satisfying the thermodynamic requirements , 1999 .

[4]  D. A. Wilbur Thermal Agitation of Electricity in Conductors. , 1932 .

[5]  J. Wyatt,et al.  Thermodynamics of electrical noise in a class of nonlinear RLC networks , 1985 .

[6]  J. Willems,et al.  Stochastic control and the second law of thermodynamics , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[7]  Kerson Huang Statistical Mechanics, 2nd Edition , 1963 .