S. Curilef et C. Tsallis, Critical temperature and nonextensivity in long-range interacting Lennard-Jones-like fluids, PHYS LETT A, 264(4), 1999, pp. 270-275
Molecular dynamic simulations for systems with D = 2,3 Lennard-Jones-like i
nteractions are studied. Ln the model, we assume that, at long distances, t
he two-body attractive potential decays as r(-alpha). Thermodynamic extensi
vity (nonextensivity) is observed for alpha > D (0 less than or equal to al
pha less than or equal to D). Particular attention is paid to the liquid-ga
s critical point located, in the temperature-pressure plane. at (T-c,P-c).
(T-c,P-c) are, in the N --> infinity limit (N = number of molecules), finit
e for alpha > D and diverge for alpha less than or equal to D (as (alpha -
D)(-1) for alpha/D --> 1 + 0). However, the variables T-c* = T-c/N* and P-c
* = P-c/N* with N* = [ N1-alpha/D - 1]/[1 - alpha/D] remain finite for all
alpha. Thus, the extensive and nonextensive regions become unified, as rece
ntly conjectured. These results should be useful for discussing gravitation
and some special fluids. (C) 1999 Elsevier Science B.V. All rights reserve
d.