Thermodynamic optimization equalities in weakly driven processes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909887635652608 |
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| author | Nazé, Pierre |
| author_facet | Nazé, Pierre |
| contents | Equalities are generally more suitable for experimental verification than inequalities. In this work, I derive valid equalities from the Euler-Lagrange equation for the optimization of macroscopic thermodynamic averages in weakly driven classical open systems. These equalities show that optimization occurs when work and heat become path-independent. I illustrate their applicability by employing them as a convergence criterion in the global optimization technique of genetic programming. Moreover, due to fluctuation-dissipation relations for internal energy, work, and heat, analogous results hold for their variances. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00076 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermodynamic optimization equalities in weakly driven processes Nazé, Pierre Statistical Mechanics Equalities are generally more suitable for experimental verification than inequalities. In this work, I derive valid equalities from the Euler-Lagrange equation for the optimization of macroscopic thermodynamic averages in weakly driven classical open systems. These equalities show that optimization occurs when work and heat become path-independent. I illustrate their applicability by employing them as a convergence criterion in the global optimization technique of genetic programming. Moreover, due to fluctuation-dissipation relations for internal energy, work, and heat, analogous results hold for their variances. |
| title | Thermodynamic optimization equalities in weakly driven processes |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2309.00076 |