Scaling laws at the critical point

American Journal of Physics

Volumn 74, Issue 5, 2006, Pages 441-442

  Davatolhagh, S ^a  

^a SHIRAZ UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646856434     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2173273     Document Type: Article

References (14)

1. See, J. Tobochnik, "Resource letter CPPPT-1: Critical point phenomena and phase transitions," Am. J. Phys. 69, 255-263 (2001).
2. K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987), pp. 399-406.
3. M. Kardar, "Statistical mechanics of fields" (lecture notes) ocw.mit.edu/ OcwWeb/Physics/8-334Spring-2004/CourseHome/index/htm, Chap. 6.
4. M. E. Fisher, "Correlation functions and the critical region of simple fluids," J. Math. Phys. 5, 944-962 (1964).
5. S. Davatolhagh, "The relation between the positional specific heat and the static relaxation length: Application to supercooled liquids," J. Phys.: Condens. Matter 17, 1275-1285 (2005).
6. See also J. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge U. P., Cambridge, 1996), where similar scaling properties are discussed in the context of conformal field theory.
7. L. Onsager, "Crystal statistics. I. A two-dimensional model with an order-disorder transition," Phys. Rev. 65, 117-149 (1944).
8. B. M. McCoy and T. T. Wu, The Two-Dimensional Ising Model (Harvard U. P., Cambridge, MA, 1973).
9. M. F. Thorpe and D. Beeman, "Thermodynamics of an Ising model with random exchange interactions," Phys. Rev. B 14, 188-199 (1976).
10. J. Stephenson, "Ising model spin correlations on the triangular lattice. II. Fourth-order correlations," J. Math. Phys. 7, 1123-1132 (1966).
11. H. G. Ballesteros, L. A. Fernandez, V. Martin-Mayor, A. M. Sudupe, G. Parisi, and J. J. Ruiz-Lorenzo, "Scaling corrections: Site percolation and Ising model in three dimensions," J. Phys. A 32, 1-13 (1999).
12. Finite-Size Scaling and Numerical Simulations of Statistical Systems, edited by V. Privman (World Scientific, Singapore, 1990).
13. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, 2nd ed. (Cambridge U. P., Cambridge, 2005).
14. C. Donati, S. Franz, S. C. Glotzer, and G. Parisi, "Theory of nonlinear susceptibility and correlation length in glasses and liquids," J. Non-Cryst. Solids 307, 215-224 (2002) and references therein.