Remarks on the Nyquist and Callen-Welton Theorems
S.A. Trigger, G.J.F. van Heijst, A.A. Rukhadze, P.P.J.M. Schram
TL;DR
This paper examines the relationship between the Nyquist and Callen-Welton theorems in plasma-like systems, discussing their applicability and restrictions in classical and quantum contexts.
Contribution
It provides a detailed analysis of the conditions under which the fluctuation-dissipation relations hold and clarifies the limitations of these theorems in quantum systems.
Findings
Nyquist theorem has restrictions in quantum systems
Callen-Welton theorem remains valid in quantum cases
Conditions for dissipative parameters in correlation functions are identified
Abstract
The connection of the Callen-Welton and Nyquist fluctuation-dissipation relations is considered for plasma-like classical and quantum systems. The conditions for appearance of the dissipative parameters in the equilibrium current-current correlation function are investigated. The paper presents the arguments for the restrictions of the Nyquist theorem and against violation of the Callen-Welton theorem in the quantum case.
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