Temperature and Concentration under Boundedness
Author(s)
Maria K. Koleva
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.
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.
Cite this paper
Koleva, M. (2015) Temperature and Concentration under Boundedness. Journal of Modern Physics, 6, 1149-1155. doi: 10.4236/jmp.2015.68118.
Koleva, M. (2015) Temperature and Concentration under Boundedness. Journal of Modern Physics, 6, 1149-1155. doi: 10.4236/jmp.2015.68118.
References
[1] Nicolis, G. and Prigogine, I. (1977) Self-Organization in Non-Equilibrium Systems. Wiley, New York. [2] Feller, W. (1970) An Introduction to Probability Theory and its Applications. John Willey & Sons, New-York. [3] 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. [4] Koleva, M.K. (2006) Self-Organization and Finite Velocity of Transmitting Substance/Energy through Space-Time. arXiv:nlin/061048 [5] Koleva, M.K. and Covachev, V. (2001) Fluctuation and Noise Letters, 1, R131-R149.
http://dx.doi.org/10.1142/S0219477501000287 [6] Koleva, M.K. (2012) Boundedeness and Self-Organized Semantics: Theory and Applications. IGI-Global, Hershey, PA. [7] Schuster, H.G. (1984) Deterministic Chaos: An Introduction. Physik-Verlag, Weinheim. [8] Bak, P., Tang, C. and Wiesenfeld, K. (1987) Physical Review Letters, 59, 381-384.
http://dx.doi.org/10.1103/PhysRevLett.59.381
[1] Nicolis, G. and Prigogine, I. (1977) Self-Organization in Non-Equilibrium Systems. Wiley, New York. [2] Feller, W. (1970) An Introduction to Probability Theory and its Applications. John Willey & Sons, New-York. [3] 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. [4] Koleva, M.K. (2006) Self-Organization and Finite Velocity of Transmitting Substance/Energy through Space-Time. arXiv:nlin/061048 [5] Koleva, M.K. and Covachev, V. (2001) Fluctuation and Noise Letters, 1, R131-R149.
http://dx.doi.org/10.1142/S0219477501000287 [6] Koleva, M.K. (2012) Boundedeness and Self-Organized Semantics: Theory and Applications. IGI-Global, Hershey, PA. [7] Schuster, H.G. (1984) Deterministic Chaos: An Introduction. Physik-Verlag, Weinheim. [8] Bak, P., Tang, C. and Wiesenfeld, K. (1987) Physical Review Letters, 59, 381-384.
http://dx.doi.org/10.1103/PhysRevLett.59.381