Critical temperature and nonextensivity in long-range interacting Lennard–Jones-like fluids

✍ Scribed by Sergio Curilef; Constantino Tsallis

• Book ID: 104337888
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 149 KB
• Volume: 264
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00727-6

✦ Synopsis

Molecular dynamic simulations for systems with D s 2,3 Lennard-Jones-like interactions are studied. In the model, we assume that, at long distances, the two-body attractive potential decays as r ya . Thermodynamic extensivity Ž . Ž . nonextensivity is observed for a ) D 0 F a F D . Particular attention is paid to the liquid-gas critical point located, in the Ž . Ž . Ž .

temperature-pressure plane, at T , P . T , P are, in the N ™`limit N ' number of molecules , finite for a ) D and c c c c Ž Ž . y1 .

) )

) )

diÕerge for a F D as a y D for arD™ 1 q 0 . However, the variables T ' T rN and P ' P rN with c c c c )

x w x N ' N y 1 r 1 y arD remain finite for all a. Thus, the extensive and nonextensive regions become unified, as recently conjectured. These results should be useful for discussing gravitation and some special fluids.