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

TL;DR

This paper applies the generalized Hellmann-Feynman theorem to a quantized RLC circuit to analyze how entropy varies with resistance, revealing that entropy increases as resistance increases.

Contribution

It introduces a novel application of the generalized Hellmann-Feynman theorem to quantify entropy variation with resistance in a quantized RLC circuit.

Findings

Entropy increases with resistance R

Derived relation between entropy and R

Calculated internal and average energies

Abstract

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