Chemical Potential for the Interacting Classical Gas and the Ideal Quantum Gas Obeying a Generalized Exclusion Principle

Autor/inn/en	Sevilla, F. J.; Olivares-Quiroz, L.
Titel	Chemical Potential for the Interacting Classical Gas and the Ideal Quantum Gas Obeying a Generalized Exclusion Principle
Quelle	In: European Journal of Physics, 33 (2012) 3, S.709-722 (14 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0143-0807
DOI	10.1088/0143-0807/33/3/709
Schlagwörter	Chemistry; Computation; Graduate Students; Textbooks; Thermodynamics; Scientific Principles; Quantum Mechanics; Science Instruction; Equations (Mathematics); Undergraduate Students; College Science; Energy + Suchen Sie Ihr Suchwort? Chemie; Graduate Study; Student; Students; Aufbaustudium; Graduiertenstudium; Hauptstudium; Studentin; Textbook; Text book; Schulbuch; Lehrbuch; Thermodynamik; Quantenmechanik; Teaching of science; Science education; Natural sciences Lessons; Naturwissenschaftlicher Unterricht; Equations; Mathematics; Gleichungslehre; Energie
Abstract	In this work, we address the concept of the chemical potential [mu] in classical and quantum gases towards the calculation of the equation of state [mu] = [mu](n, T) where n is the particle density and "T" the absolute temperature using the methods of equilibrium statistical mechanics. Two cases seldom discussed in elementary textbooks are presented with detailed calculations. The first one refers to the explicit calculation of [mu] for the interacting classical gas exemplified by van der Waals gas. For this purpose, we used the method described by van Kampen (1961 "Physica" 27 783). The second one refers to the calculation of [mu] for ideal quantum gases that obey a generalized Pauli's exclusion principle that leads to statistics that go beyond the Bose-Einstein and Fermi-Dirac cases. The audience targeted in this work corresponds mainly to advanced undergraduates and graduate students in the physical-chemical sciences but it is not restricted to them. In regard of this, we have put a special emphasis on showing some additional details of calculations that usually do not appear explicitly in textbooks. (Contains 3 figures, 4 footnotes and 1 table.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10