Open AccessAnalytic approximation of the Debye function
Author(s) -
K. V. Khishchenko
Publication year - 2020
Publication title -
mathematica montisnigri
Language(s) - English
Resource type - Journals
eISSN - 2704-4963
pISSN - 0354-2238
DOI - 10.20948/mathmontis-2020-49-8
Subject(s) - debye , debye function , expression (computer science) , function (biology) , limiting , thermodynamics , range (aeronautics) , debye model , debye–hückel equation , mathematics , physics , statistical physics , mathematical analysis , debye length , materials science , condensed matter physics , quantum mechanics , electron , computer science , engineering , mechanical engineering , electrode , evolutionary biology , electrolyte , composite material , biology , programming language
An expression in a closed form is proposed for the approximation of the Debyefunction used in thermodynamic models of solids. This expression defines an analytic functionthat has the same limiting behavior as the Debye function at low and high temperatures. Theapproximation gives the maximum relative deviation from the value of the Debye function lessthan 0.001. The proposed expression can be useful in the equations of state of solids in a widetemperature range.