Equivalence of ideal gases in two dimensions and Landen's relations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 2, 1997, Pages 1518-1520

  Lee, M Howard ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001691293     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.1518     Document Type: Article

References (12)

1. R M. May, Phys. Rev.135, A1515 (1964).
2. J P. McKelvey and E F. Pulver, Am. J. Phys.32, 749 (1964).
3. J. G. Dash, Films on Solid Surfaces (Academic, New York, 1975), especially pp. 98–115.
4. D. ter Haar, Elements of Statistical Mechanics, 3rd ed. (Butterworth-Heinenmann, Oxford, 1995), p. 265;
5. D F. Hines, N E. Frankel and D J. Mitchell, Phys. Lett.68A, 12 (1978).
6. L. Lewin, Dilogarithms and Associated Functions (McDonald, London, 1958), p. 5.
7. M H. Lee, J. Math. Phys.36, 1217 (1995).
8. G. H. Hardy, Divergent Series (Chelsea, New York, 1991), pp. 7, 70, 178; T. J. Bromwich, Introduction to Infinite Series (Chelsea, New York, 1991), pp. 62, 196.
9. R V. Churchill, Complex Variables and Applications (McGraw-Hill, New York, 1960), pp. 73, 74.
10. M H. Lee, Phys. Rev. E54, 946 (1996).
11. There is a typographical error in the grand partition function given in Ref. 9. A minus sign before d is missing.
12. R. K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinenmann, Oxford, 1996), p. 230. (Also see p. 253 of the first edition.)