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A GENERAL INFORMATION THEORETICAL PROOF FOR THE SECOND LAW OF THERMODYNAMICS

QI-REN ZHANG

Department of Technical Physics, Peking University, Beijing, 100871, China

https://doi.org/10.1142/S0218301308009859Cited by:6 (Source: Crossref)

Abstract

We show that the conservation and the non-additivity of information, together with the additivity of entropy makes entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the information non-additivity. Nevertheless, the later is also true in other fields, in which the interaction information is important. Examples are classical statistical mechanics, social statistics and financial processes. The second law of thermodynamics is thus proven in its most general form. It is exactly true, not only in quantum and classical physics but also in other processes in which the information is conservative and non-additive.

Keywords:

PACS: 03.65.-w, 05.30.Ch, 05.70.-a

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References

L. D. Landau and E. M. Lifshitz , Statistical Physics , 3rd edn. ( Butterworth Heinemann , Oxford , 1980 ) . Google Scholar
W. Greiner , L. Neise and H. Stöcker , Thermodynamics and Statistical Mechanics ( Springer-Verlag , New York, Inc. , 1995 ) . Google Scholar
Q.-R. Zhang , Statistical Mechanics ( Science Press , Beijing , 2004 ) . Google Scholar
C. E. Shannon, B. S. T. J. 27, 379 (1948). Web of Science, Google Scholar
C. E. Shannon and W. Weaver , The Mathematical Theory of Communication ( University of Illinois Press , Urbana, I11. , 1949 ) . Google Scholar
H. Everett , The Theory of Universal Wave Function in the Many-Worlds Interpretation of Quantum Mechanics , eds. B. S. De Witt and N. Graham ( Princeton University Press , Princeton , 1973 ) . Google Scholar
E. T. Jaynes , Probability Theory: The Logic of Science ( Cambridge University Press , Cambridge , 2003 ) . Crossref, Google Scholar