%0 Journal Article %1 floerchinger2020thermodynamics %A Floerchinger, Stefan %A Haas, Tobias %D 2020 %I American Physical Society %J Phys. Rev. E %K density_functional_calculations information_theory quantum_mechanics thermodynamics %N 5 %P 052117 %R 10.1103/PhysRevE.102.052117 %T Thermodynamics from relative entropy %U https://link.aps.org/doi/10.1103/PhysRevE.102.052117 %V 102 %X Thermodynamics can be developed from a microscopic starting point in terms of entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example, in the context of local quantum field theory. We find that the principle of maximum entropy can be replaced by a principle of minimum expected relative entropy. Various ensembles and their thermodynamic potentials can be defined through relative entropy. We also show that thermal fluctuations are in fact governed by a relative entropy. Furthermore, we reformulate the third law of thermodynamics using relative entropy only.

@article{floerchinger2020thermodynamics, abstract = {Thermodynamics can be developed from a microscopic starting point in terms of entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example, in the context of local quantum field theory. We find that the principle of maximum entropy can be replaced by a principle of minimum expected relative entropy. Various ensembles and their thermodynamic potentials can be defined through relative entropy. We also show that thermal fluctuations are in fact governed by a relative entropy. Furthermore, we reformulate the third law of thermodynamics using relative entropy only.}, added-at = {2023-08-30T22:49:44.000+0200}, author = {Floerchinger, Stefan and Haas, Tobias}, biburl = {https://www.bibsonomy.org/bibtex/292243b97588fe4bc22d704ad817e84e5/tabularii}, doi = {10.1103/PhysRevE.102.052117}, interhash = {a80358c06705c1e2c08e924b9a1eb1fd}, intrahash = {92243b97588fe4bc22d704ad817e84e5}, journal = {Phys. Rev. E}, keywords = {density_functional_calculations information_theory quantum_mechanics thermodynamics}, month = nov, number = 5, numpages = {13}, pages = 052117, publisher = {American Physical Society}, timestamp = {2023-09-06T14:33:19.000+0200}, title = {Thermodynamics from relative entropy}, url = {https://link.aps.org/doi/10.1103/PhysRevE.102.052117}, volume = 102, year = 2020 }