Research ArticleOpen AccessGoogle Scholar indexed
Temperature and Concentration under Boundedness
Institute of Catalysis, Bulgarian Academy of Sciences, Sofia, Bulgaria
- 1 Institute of Catalysis, Bulgarian Academy of Sciences, Sofia, Bulgaria
Journal of Modern Physics·Volume 06 (2015)·Pages 1149–1155·Published 10 July 2015·DOI10.4236/jmp.2015.68118
Copy link · social · email
Abstract
In the present paper I have proved that in the setting of recently introduced concept of boundedness the intensive macroscopic variables such as temperature and concentration are well-defined even for structured objects and nano-objects. I have proved that the Poisson distribution is generic distribution for all fluctuations. An indispensable part of the proof is the existence of a general dynamical mechanism which provides damping out of the arbitrary accumulation of matter/ energy in every given location and in every moment.
KeywordsFluctuationsPoisson DistributionBoundedness
- Nicolis, G. and Prigogine, I. (1977) Self-Organization in Non-Equilibrium Systems. Wiley, New York.
- Feller, W. (1970) An Introduction to Probability Theory and its Applications. John Willey & Sons, New-York.
- Montroll, E.W. and. Schlesinger, M.F. (1984) On the Wonderful World of Random Walks. In: Lebovitz, J. and Montroll, E., Eds., Studies in Statistical Mechanics, v.11, North-Holland, Amsterdam, 1.
- Koleva, M.K. (2006) Self-Organization and Finite Velocity of Transmitting Substance/Energy through Space-Time. arXiv:nlin/061048
- Koleva, M.K. and Covachev, V. (2001) Fluctuation and Noise Letters, 1, R131-R149. http://dx.doi.org/10.1142/S0219477501000287
- Koleva, M.K. (2012) Boundedeness and Self-Organized Semantics: Theory and Applications. IGI-Global, Hershey, PA.
- Schuster, H.G. (1984) Deterministic Chaos: An Introduction. Physik-Verlag, Weinheim.
- Bak, P., Tang, C. and Wiesenfeld, K. (1987) Physical Review Letters, 59, 381-384. http://dx.doi.org/10.1103/PhysRevLett.59.381