Kafri, Oded (2008): Sociological and Economic Inequality and the Second Law.

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Abstract
There are two fair ways to distribute particles in boxes. The first one is the Casino’s way, namely an equal chance to any box. The second one is the thermodynamic way, namely an equal chance to any different configuration of particles and boxes. The second way, calculated here, yields an uneven distribution of the particles in the boxes. It is shown that this distribution fits well to sociological phenomena, such as to the distribution of votes in polls and the distribution of wealth. This distribution yields the Benford law (the distribution of digits in numerical data), as a private case.
Item Type:  MPRA Paper 

Original Title:  Sociological and Economic Inequality and the Second Law 
Language:  English 
Keywords:  wealth distribution ; Power law; Zipf law;Thermodynamics 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C16  Specific Distributions D  Microeconomics > D6  Welfare Economics > D63  Equity, Justice, Inequality, and Other Normative Criteria and Measurement C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics > C46  Specific Distributions; Specific Statistics A  General Economics and Teaching > A1  General Economics > A12  Relation of Economics to Other Disciplines A  General Economics and Teaching > A1  General Economics > A14  Sociology of Economics 
Item ID:  9175 
Depositing User:  Oded Kafri 
Date Deposited:  17. Jun 2008 14:02 
Last Modified:  12. Feb 2013 01:26 
References:  1. 1.Per Bak, "How Nature Works: The science of selforganized criticality", SpringerVerlag, New York, (1996). 2. M. E. Newman "Powerlaw, Pareto Distribution and Zipf's law" arxiv:0412,00421; http://www.nslijgenetics.org/wli/zipf/index.html 3. G. Troll and P. Beim Graben, "Zipf's law is not a consequence of the central limit theorem", Phys. Rev. E,: 57(2)1347(1998). 4. R. Gunther, et.al, "Zipf's law and the effect of ranking on probability distributions", International Journal of Theoretical Physics, 35(2) 395 (1996). 5. F. Benford "The law of anomalous numbers" Proc. Amer. Phil. Soc. 78,551 (1938) 6. T. P. Hill "The first digit phenomenon" American Scientist 4, 358(1986) 7. T. P. Hill "A statistical derivation of the significantdigit law" Statistical Science 10 354 (1996) 8. M. Planck "On the Law of Distribution of Energy in the Normal Spectrum" Annalen der Physik 4 553 (1901) 9. http://dbhs.wvusd.k12.ca.us/webdocs/ChemHistory/Planck1901/Planck1901.html 10. J. Kestin, ed. "The Second Law of Thermodynamics" Dowden, Hutchinson and RossStroudsburg, pp 312 (1976) 11. http://www.globes.co.il 12. O. Kafri "The second Law as a Cause of the Evolution" arxiv:0711,4507 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/9175 