Thermodynamics of words
by K.M.Frahm, D.L.Shepelyansky,
https://arxiv.org/abs/2611.XXXXX[cond-mat.stat-mech]
(arXiv XX November 2026) 







  







  Density color plot of Pareto probability curves for  15 writers

    and Americal National Corpus
obtained from the RJ thermalization theory;

 $x$-axis corresponds to the rescaled word frequency.
    











 
      
 		


    Article download  (November 2026)
   (arXiv); 
   published (here) 



      American National Corpus (ANC) download web site
      (here)



      Frequency data for 15 literary works
	ziped in one directory  of 1.5MGB
      (here) 
 

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   WORKS ON  RAYLEIGH-JEANS CONDENSATION AT LORENZ CURVES OF OTHER SYSTEMS

  or WEALTH THERMALIZATION HYPOTHESIS (WTH)


  -----------------------------------------------------------------------





  







  World map of energy consumption in 2024 from RJE thermalization theory; 

    the color dar shows the ration of energy wealth of a country to the maximal country value
    of China.
    





WTH1) K.M.Frahm and D.L.Shepelyansky,
                   "Wealth thermalization hypothesis",
                    June 19 (2025) 
                   (arXiv:2506.17720 [cond-mat.stat-mech] (here) ;
                   v2 (here) );
                    "Wealth thermalization hypothesis and social networks",
                    J. Stat. Phys. v.193, p.64 (2026)
                     (here) ;
                     (arXiv:2506.17720 [cond-mat.stat-mech] (here) 


WTH2) K.M.Frahm and D.L.Shepelyansky,
                   "Thermodynamic description of world GDP distribution over countries",
                   (arXiv:2512.06420 [cond-mat.stat-mech] (here) )

                      (included in WTH4)

		     
WTH3) K.M.Frahm,  and D.L.Shepelyansky,
                    "Dynamical thermalization and turbulence in social stratification models",
		    CHAOS  v.36, p.073117 (2026) (here) ;
              (arXiv:2603.24190 [cond-mat.stat-mech] (here) )



WRH4) K.M.Frahm, L.Ermann and D.L.Shepelyansky,
                   "Thermodynamic description of wealth inequality in the world",
                   MDPI Complexities v.2, p.20 (2026) (here) ;
                  (arXiv:2606.17965[cond-mat.stat-mech] (here) )


 WTH5) K.M.Frahm and D.L.Shepelyansky,
                   "Thermodynamic description of worldwide distribution of energy and carbon emission",
                   submitted Energy 8 July 2026 (here) ;
                  (arXiv:2607.07315 [cond-mat.stat-mech] (here) )


 WTH6) K.M.Frahm and D.L.Shepelyansky,
                   "Thermodynamic theory of voting and EU elections",
                    submitted EPL 16 July 2026 (here) ;
                   (arXiv:2607.15119 [cond-mat.stat-mech] (here) )


  WTH7) K.M.Frahm and D.L.Shepelyansky,
                   "Thermodynamic statistics of given names in USA and France",
                   submitted CHAOS 6 August 2026 (here) ;
                   (arXiv:2608.06048 [cond-mat.stat-mech] (here) )


  WTH8) K.M.Frahm, D.L.Shepelyansky and J.Lages,
                   "Mathematical statistics of wild mammal biomass",
                   submitted Mathematics 7 October 2026 (here) ;
                   (arXiv:2610.09744 [q-bio.PE] (here) )


  WTH9) K.M.Frahm and D.L.Shepelyansky,
                   "Gini coefficient of scientists and universities",
                   submitted Algorithms 19 October 2026 (here) ;
                   (arXiv:2610.26053 [cond-mat.stat-mech] (here) )

		          
      


This webpage is created at November 9, 2026 and is maintained 

by K.M.Frahm and D.L.Shepelyansky