Using the second virial coefficient as physical criterion to map the hard-sphere potential onto a continuous potential

被引:22
作者
Baez, Cesar Alejandro [1 ]
Torres-Carbajal, Alexis [1 ]
Castaneda-Priego, Ramon [1 ]
Villada-Balbuena, Alejandro [2 ]
Miguel Mendez-Alcaraz, Jose [2 ]
Herrera-Velarde, Salvador [3 ]
机构
[1] Univ Guanajuato, Div Ciencias & Ingn, Loma del Bosque 103, Guanajuato 37150, Mexico
[2] CINVESTAV, Dept Fis, Ave Inst Politecn Nacl 2508, Mexico City 07360, DF, Mexico
[3] Inst Tecnol Super Xalapa, Subdirecc Postgrad & Invest, Secc 5A Reserva Terr S-N, Xalapa 91096, Veracruz, Mexico
关键词
NONLINEAR SCHRODINGER-EQUATION; CONDUCTING POLYMER; BRANCHED POLYMERS; CHARGE-TRANSPORT; QUANTUM GRAPHS; SOLITONS; POLYACETYLENES; PERCOLATION; POLARONS; NETWORK;
D O I
10.1063/1.5049568
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In the same sense as in the extended law of corresponding states [M. Noro and D. Frenkel, J. Chem. Phys. 113, 2941 (2000)], we propose the use of the second virial coefficient to map the hard-sphere potential onto a continuous potential. We show that this criterion provides accurate results when the continuous potential is used, for example, in computer simulations to reproduce the physical properties of systems with hard-core interactions. We also demonstrate that this route is straightforwardly applicable to any spatial dimension, does not depend on the particle density and, from a numerical point of view, is easy to implement. Published by AIP Publishing.
引用
收藏
页数:11
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