Microcanonical thermostatistics as foundation of thermodynamics: The microscopic origin of condensation and phase separations

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 29, Issue 1-2, 2005, Pages 251-260

  Gross, D H E ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Foundation of classical thermodynamics; Microcanonical thermodynamics of finite systems; Microscopic origin of phase separation; Rotating self gravitating systems

Indexed keywords

PHASE TRANSITIONS; STATISTICAL METHODS; STEAM ENGINES; THERMODYNAMICS;

FOUNDATION OF CLASSICAL THERMODYNAMICS; MICROCANONICAL THERMODYNAMICS OF FINITE SYSTEMS; MICROSCOPIC ORIGIN OF PHASE-SEPARATION; ROTATING SELF-GRAVITATING SYSTEMS;

CONTINUUM MECHANICS;

EID: 25644456651     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2005.05.022     Document Type: Conference Paper

References (24)

1. E.A. Guggenheim Thermodynamics, An Advanced Treatment for Chemists and Physicists 1967 North-Holland Personal Library Amsterdam
2. R. Clausius, Ann. Phys. Chem. 79 (1850) 368, 500.
3. R. Clausius Ann. Phys. Chem. 93 1854 481
4. R. Clausius Ann. Phys. Chem. 125 1865 353
5. I. Prigogine, and R. Defay Chemical Thermodynamics 1954 Longmans London
6. L. Boltzmann Sitzungsber. Akad. Wissen. Wien II 1877 67
7. A. Wehrl Rev. Mod. Phys. 50 1978 221
8. J. von Neumann Gött. Nachr. 273 1927 20
9. J.E. Kilpatrick Classical thermostatistics H. Eyring Statistical Mechanics, number II (Chapter 1) 1967 Academic Press New York 1 52
10. D.H.E. Gross Ensemble probabilistic equilibrium and non-equilibrium thermodynamics without the thermodynamic limit A. Khrennikov Foundations of Probability and Physics, number XIII in PQ-QP: Quantum Probability, White Noise Analysis, Boston, ACM 2001 World Scientific New York, Singapore 131 146
11. D.H.E. Gross Entropy 6 2004 158
12. D.H.E. Gross Microcanonical thermodynamics: phase transitions in "Small" systems, Lecture Notes in Physics, vol. 66 2001 World Scientific Singapore
13. R.D. Carlitz Phys. Rev. D 5 1972 3231
14. D.H.E. Gross, A. Ecker, and X.Z. Zhang Ann. Phys. 5 1996 446 http://xxx.lanl.gov/abs/cond-mat/9607150.
15. L.G. Moretto, J.B. Elliot, L. Phair, and G.J. Wozniak Phys. Rev. C 66 2002 041601(R) nucl-theor/0208024
16. D.H.E. Gross, Comment on "Negative heat and first order phase transitions in nuclei" by Moretto, et al., http://arXiv.org/abs/nuclth/ 0208034, 2002.
17. F. Gulminelli, Ph. Chomaz, Comment on "Negative heat capacities and first order phase transitions in nuclei" by L.G. Moretto, et al., Caen preprint, LPCC 99-17, nucl-th/0304058, 2003.
18. P. Hertz Ann. Phys. Leipzig 33 1910 537
19. Ph. Chomaz, and F. Gulminelli Nucl. Phys. A 647 1999 153
20. Ph. Chomaz, V. Duflot, F. Gulminelli, Caloric curves and energy fluctuations in the microcanonical liquid-gas phase transition, Caen preprint, 2000.
21. Ph. Chomaz, F. Gulminelli, V. Duflot, Topology of event distribution as a generalized definition of phase transitions in finite systems, preprint, cond-mat/0010365, 2000.
22. D.H.E. Gross Phys. Rep. 279 1997 119 202
23. P.H. Chavanis, and M. Rieutord Astron. Astrophys. 412 2003 1 arXiv:astro-ph/0302594.
24. E.V. Votyakov, H.I. Hidmi, A. De Martino, D.H.E. Gross, Phys. Rev. Lett. 89 (2002) 031101-1-4. http://arXiv.org/abs/cond -mat/0202140.