Soluble Model Fluids with Complete Scaling and Yang-Yang Features

被引:24
作者
Cerdeirina, Claudio A. [1 ]
Orkoulas, Gerassimos [2 ]
Fisher, Michael E. [3 ]
机构
[1] Univ Vigo, Dept Fis Aplicada, Campus Agua, Orense 32004, Spain
[2] Widener Univ, Sch Engn, Chester, PA 19013 USA
[3] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA
基金
美国国家科学基金会;
关键词
SUPER-EXCHANGE ANTIFERROMAGNET; COEXISTENCE-CURVE DIAMETERS; CRITICAL-POINT; LATTICE STATISTICS; SUPERCOOLED WATER; CRITICAL-BEHAVIOR; MAGNETIC FIELD; GLASSY WATER; LIQUID; TRANSITIONS;
D O I
10.1103/PhysRevLett.116.040601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Yang-Yang (YY) and singular diameter critical anomalies arise in exactly soluble compressible cell gas (CCG) models that obey complete scaling with pressure mixing. Thus, on the critical isochore rho = rho(c), (C) over tilde (mu):= -Td(2)mu/dT(2) diverges as vertical bar t vertical bar(-alpha) when t proportional to T - T-c -> 0(-) while rho(d) - rho(c) similar to vertical bar t vertical bar(2 beta) where rho(d)(T) = 1/2 [rho(liq) + rho(gas)]. When the discrete local CCG cell volumes fluctuate freely, the YY ratio R-mu = (C) over tilde (mu)/C-V may take any value -infinity < R-mu < 1/2 but "anticorrelated" free volumes are needed for R-mu > 0. More general decorated CCGs, including "hydrogen bonding" water models, illuminate energy-volume coupling as relevant to R-mu.
引用
收藏
页数:5
相关论文
共 38 条
[1]   SUPERCOOLED WATER [J].
ANGELL, CA .
ANNUAL REVIEW OF PHYSICAL CHEMISTRY, 1983, 34 :593-630
[2]   Divergence of Tolman's length for a droplet near the critical point [J].
Anisimov, M. A. .
PHYSICAL REVIEW LETTERS, 2007, 98 (03)
[3]   Resolving the Yang-Yang dilemma in 3He near the critical point [J].
Anisimov, MA ;
Zhong, F ;
Barmatz, M .
JOURNAL OF LOW TEMPERATURE PHYSICS, 2004, 137 (1-2) :69-88
[4]   Nature of asymmetry in fluid criticality [J].
Anisimov, Mikhail A. ;
Wang, Jingtao .
PHYSICAL REVIEW LETTERS, 2006, 97 (02)
[5]   Critical Behavior of the Dielectric Constant in Asymmetric Fluids [J].
Bertrand, C. E. ;
Sengers, J. V. ;
Anisimov, M. A. .
JOURNAL OF PHYSICAL CHEMISTRY B, 2011, 115 (48) :14000-14007
[6]   The nature of singular coexistence-curve diameters of liquid-liquid phase equilibria [J].
Cerdeirina, Claudio A. ;
Anisimov, Mikhail A. ;
Sengers, Jan V. .
CHEMICAL PHYSICS LETTERS, 2006, 424 (4-6) :414-419
[7]   Supercooled and glassy water [J].
Debenedetti, PG .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2003, 15 (45) :R1669-R1726
[8]   LATTICE STATISTICS IN A MAGNETIC FIELD .1. A 2-DIMENSIONAL SUPER-EXCHANGE ANTIFERROMAGNET [J].
FISHER, ME .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 254 (1276) :66-85
[9]   LATTICE STATISTICS IN A MAGNETIC FIELD .2. ORDER AND CORRELATIONS OF A 2-DIMENSIONAL SUPER-EXCHANGE ANTIFERROMAGNET [J].
FISHER, ME .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 256 (1287) :502-513
[10]   PHASE TRANSITIONS IN ONE-DEMENSIONAL CLUSTER-INTERACTION FLUIDS .1B. CRITICAL BEHAVIOR [J].
FISHER, ME ;
FELDERHOF, BU .
ANNALS OF PHYSICS, 1970, 58 (01) :217-+