2022/10/09 by Sylvain D. Bréchet, Brechet, Sylvain D. · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2210.04289
openalex publication_date 2022/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Onsager reciprocal relations are established within the phenomenological framework of the thermodynamics of irreversible processes. In order to do so, the dissipated power densities associated to scalar and vectorial processes are written as positive semi-definite quadratic forms of the corresponding generalised forces, as required by the local expression of the second law in the neighbourhood of the equilibrium. The antisymmetric part of the scalar and vectorial Onsager matrices do not contribute to the dissipation, which yields the scalar and vectorial Onsager reciprocal relations. Furthermore, the positive semi-definite quadratic forms of the generalised scalar and vectorial forces are invariant under time reversal, which yields the scalar and vectorial Casimir-Onsager reciprocal relations, that are a generalisation of the Onsager reciprocal relations.