Angle, John (2011): SocioEconomic Analogues of the Gas Laws (Boyle's and Charles'). Published in: Proceedings of the 2011 Joint Statistical Meetings (19. December 2011): pp. 13751389.

PDF
MPRA_paper_40125.pdf Download (719kB)  Preview 
Abstract
Most social scientists would reject the possibility of socioeconomic analogues of the gas laws (Boyle’s and Charles’) on verisimilitude grounds. The gas laws relate the variables temperature, pressure, and volume. The possibility of socioeconomic analogues of the gas laws and their variables is suggested by the similarity of two mathematical models. One model is the Inequality Process (IP), a particle system model that explains a wide scope of socioeconomic phenomena. The IP is isomorphic to the particle system of the Kinetic Theory of Gases (KTG) up to two differences. The KTG is the microlevel explanation of the gas laws. Given a map from the KTG into the IP, the IP implies empirically valid socioeconomic analogues of Boyle’s and Charles’ Laws.
Item Type:  MPRA Paper 

Original Title:  SocioEconomic Analogues of the Gas Laws (Boyle's and Charles') 
Language:  English 
Keywords:  Boyle’s Law; Charles’ Law; econophysics; income and wealth distribution; Inequality Process; Kinetic Theory of Gases 
Subjects:  D  Microeconomics > D3  Distribution > D31  Personal Income, Wealth, and Their Distributions C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  40125 
Depositing User:  John Angle 
Date Deposited:  18. Jul 2012 10:23 
Last Modified:  15. Feb 2013 21:17 
References:  Angle, John, François Nielsen, and Enrico Scalas. 2009. “The Kuznets Curve and the Inequality Process”. Pp. 125138. In Banasri Basu, Bikas K. Chakrabarti, Satya R. Chakravarty, Kausik Gangopadhyay, editors, Econophysics and Economics of Games, Social Choices and Quantitative Techniques. Milan: Springer. Angle, John. 2007a. “The Macro Model of the Inequality Process and The Surging Relative Frequency of Large Wage Incomes”. Pp. 171196 in A. Chatterjee and B.K. Chakrabarti, (eds.), The Econophysics of Markets and Networks Milan: Springer. _____. 2007b. “A mathematical sociologist’s tribute to Comte: sociology as science”. Footnotes [monthly newsletter of the American Sociological Association] 35(No. 2, February): 10,11. [online at: http://www2.asanet.org/footnotes/feb07/fn9.html . _____. 2006a (received 8/05; electronic publication: 12/05; hardcopy publication 7/06). “The Inequality Process as a wealth maximizing algorithm”’. Physica A: Statistical Mechanics and Its Applications 367:388414 (DOI information: 10.1016/j.physa.2005.11.017). _____. 2006b. “A comment on Gallegati et al.’s “Worrying Trends in Econophysics” “. Pp. 250253 in A. Chatterjee and B.K. Chakrabarti, (eds.), The Econophysics of Stocks and Other Markets . Milan: Springer. _____. 2003a. “The dynamics of the distribution of wage and salary income in the nonmetropolitan U.S.”. Estadistica.55: 5993. _____. 2003b. “Inequality Process, The”. An entry in T. Liao, et al., (eds.), The Encyclopedia of Social Science Research Methods. Volume 2: 488490. Thousand Oaks, CA: Sage. _____. 2002. "The statistical signature of pervasive competition on wages and salaries". Journal of Mathematical Sociology. 26:217270. _____. 1996. "How the gamma law of income distribution appears invariant under aggregation". Journal of Mathematical Sociology. 21:325358. _____, 1993. "Deriving the size distribution of personal wealth from 'the rich get richer, the poor get poorer'". Journal of Mathematical Sociology 18:2746. _____, 1992. "The Inequality Process and the distribution of income to blacks and whites". Journal of Mathematical Sociology 17:77 98. _____. 1990. "A stochastic interacting particle system model of the size distribution of wealth and income." 1990 Proceedings of the American Statistical Association, Social Statistics Section. Pp. 279 284. Alexandria, VA: American Statistical Association. _____, 1986. "The surplus theory of social stratification and the size distribution of Personal Wealth." Social Forces 65:293 326. _____. 1983. "The surplus theory of social stratification and the size distribution of Personal Wealth." 1983 Proceedings of the American Statistical Association, Social Statistics Section. Pp. 395 400. Alexandria, VA: American Statistical Association. Dragulescu, A. and V. Yakovenko. 2000. “Statistical mechanics of money”. European Physics Journal B 17: 723729. Feynman, Richard, Robert Leighton, and Matthew Sands. 1963. The Feynman Lectures on Physics. New York: AddisonWesley. FischerCripps, A.C. 2003. The Physics Companion. Philadelphia: Institute of Physics Publishing. Gyftopoulos, Elias, and Gian Paolo Beretta. 2005. Thermodynamics: Foundations and Applications. Mineola, New York: Dover. Owen, David. 1984. A First Course in the Mathematical Foundations of Thermodynamics. New York: Springer. Thieme, Horst. 2003. Mathematics in Population Biology. Princeton, NJ: Princeton University Press. Whitney, Charles. 1990. Random Processes in Physical Systems. New York: Wiley Interscience. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/40125 