Solution of lattice gas models in the generalized ensemble on the Bethe lattice

被引:16
作者
La Nave, E
Sastry, S
Sciortino, F
Tartaglia, P
机构
[1] Univ Rome La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] Univ Rome La Sapienza, Ist Nazl Fis Mat, I-00185 Rome, Italy
[3] Boston Univ, Dept Phys, Boston, MA 02215 USA
[4] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[5] Jawaharlal Nehru Ctr Adv Sci Res, Bangalore 560064, Karnataka, India
来源
PHYSICAL REVIEW E | 1999年 / 59卷 / 06期
关键词
D O I
10.1103/PhysRevE.59.6348
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present the exact Bethe lattice solution for a lattice gas Potts model defined in the generalized ensemble which was previously studied in elucidating the anomalous thermodynamic properties of water. For this model the locus of density maxima (TMD), the locus of isothermal compressibility extrema, (TEC), the spinodal curve, and the percolation curve; for four hydrogen bonded molecules are calculated using the Bethe lattice solution. The results confirm qualitative relationships between the TMD, the TEC, and the percolation curve obtained previously from a mean field calculation, [S1063-651X(99)17205-2].
引用
收藏
页码:6348 / 6355
页数:8
相关论文
共 23 条
[1]  
[Anonymous], 2018, INTRO PERCOLATION TH
[2]  
Baxter R. J., 2007, EXACTLY SOLVED MODEL
[3]  
Bell G. M., 1989, STAT MECH LATTICE MO
[4]   DIFFUSION EFFECTS OF HYDROGEN-BOND FLUCTUATIONS .2. FROM THE SHORT TO THE LONG-TIME REGIME IN THE TRANSLATIONAL DYNAMICS OF WATER [J].
BERTOLINI, D ;
GRIGOLINI, P ;
TANI, A .
JOURNAL OF CHEMICAL PHYSICS, 1989, 91 (02) :1191-1203
[5]   PERCOLATION THEORY IN A GAS [J].
CONIGLIO, A ;
ESSAM, JW .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (11) :1917-1926
[6]  
Debenedetti P.G., 1997, METASTABLE LIQUIDS
[7]   ON THE NATURE OF THE TENSILE INSTABILITY IN METASTABLE LIQUIDS AND ITS RELATIONSHIP TO DENSITY ANOMALIES [J].
DEBENEDETTI, PG ;
DANTONIO, MC .
JOURNAL OF CHEMICAL PHYSICS, 1986, 84 (06) :3339-3345
[8]   ON THE ENTROPY CHANGES AND FLUCTUATIONS OCCURRING NEAR A TENSILE INSTABILITY [J].
DEBENEDETTI, PG ;
DANTONIO, MC .
JOURNAL OF CHEMICAL PHYSICS, 1986, 85 (07) :4005-4010
[9]   PERCOLATION THEORY [J].
ESSAM, JW .
REPORTS ON PROGRESS IN PHYSICS, 1980, 43 (07) :833-912
[10]   BETHE OR BETHE-LIKE LATTICE CALCULATIONS ARE MORE RELIABLE THAN CONVENTIONAL MEAN-FIELD CALCULATIONS [J].
GUJRATI, PD .
PHYSICAL REVIEW LETTERS, 1995, 74 (05) :809-812