Generalized Entropy from Mixing: Thermodynamics, Mutual Information and Symmetry Breaking
Abstract
We review a new form of entropy suggested by us, with origin in mixing of states of systems due to interactions and deformations of phase cells. It is demonstrated that this nonextensive form also leads to asymmetric maximal entropy configurations unlike Shannon entropy. We discuss how, beginning with quantum entanglement of microsystems with one another and with the environment, one can obtain classical stochasticity for our form of entropy.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- June 2009
- DOI:
- 10.48550/arXiv.0906.2458
- arXiv:
- arXiv:0906.2458
- Bibcode:
- 2009PhDT.......481S
- Keywords:
-
- Condensed Matter - Statistical Mechanics
- E-Print:
- This review paper was written in Jan 2009 after the author received an invitation for a review paper based on three papers that are part of her Princeton Uni PhD thesis. These are her personal papers and the thesis was approved under the supervision of self by Princeton University (based on her personal papers done while she was a degree candidate)