Continuous freezing in an infinite-range one-dimensional model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 5 1, 2003, Pages

  Carraro, Carlo ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONDENSATION; FLUIDS; FREEZING; MATHEMATICAL MODELS; VECTORS;

HARD ROD FLUID; THERMAL FLUCTUATION; WAVE VECTOR;

STATISTICAL MECHANICS;

EID: 37649033053     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. M.M. Calbi, M.W. Cole, S.M. Gatica, M.J. Bojan, and G. Stan, Rev. Mod. Phys. 73, 857 (2001).
2. C. Carraro, Phys. Rev. B 61, R16 351 (2000).
3. C. Carraro, Phys. Rev. Lett. 89, 115702 (2002).
4. H.-J. Woo and X. Song, J. Chem. Phys. 114, 5637 (2001).
5. M. Kac, G.E. Uhlenbeck, and P.C. Hemmer, J. Math. Phys. 4, 216 (1963).
6. J.K. Percus, J. Stat. Mech. 15, 505 (1976).
7. The adimensional coupling could be taken to be γσ.
8. The choice of a cosine series, rather than a more general Fourier series, corresponds to fixing the position crystal lattice as a whole with respect to the origin. This choice is arbitrary and inconsequential to the physics.
9. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University Press, Cambridge, 1992), Chap. 10.
10. Integer values are found within numerical accuracy. There is no doubt, of course, that the true values are indeed integers.
11. W. Teizer, R.B. Hallock, E. Dujardin, and T.W. Ebbesen, Phys. Rev. Lett. 82, 5305 (1999).
12. A.A. Khan, S.T. Bramwell, K.D.M. Harris, B.M. Kariuki, and M. Truter, Chem. Phys. Lett. 307, 320 (1999).
13. L. Radzihovsky, E. Frey, and D.R. Nelson, Phys. Rev. E 63, 031503 (2001).