Fluctuating nonlinear hydrodynamics does not support an ergodic-nonergodic transition

被引:20
作者
Das, Shankar P. [1 ]
Mazenko, Gene F. [2 ,3 ]
机构
[1] Jawaharlal Nehru Univ, Sch Phys Sci, New Delhi 110067, India
[2] Univ Chicago, James Franck Inst, Chicago, IL 60637 USA
[3] Univ Chicago, Dept Phys, Chicago, IL 60637 USA
来源
PHYSICAL REVIEW E | 2009年 / 79卷 / 02期
关键词
hydrodynamics; liquid theory; vitrification; MODE-COUPLING THEORY; SUPERCOOLED LIQUIDS; GLASS-TRANSITION; DENSITY-FLUCTUATIONS; DYNAMICS;
D O I
10.1103/PhysRevE.79.021504
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
Despite its appeal, real and simulated glass forming systems do not undergo an ergodic-nonergodic (ENE) transition. We reconsider whether the fluctuating nonlinear hydrodynamics (FNH) model for this system, introduced by us in 1986, supports an ENE transition. Using nonperturbative arguments, with no reference to the hydrodynamic regime, we show that the FNH model does not support an ENE transition. Our results support the findings in the original paper. Assertions in the literature questioning the validity of the original work are shown to be in error.
引用
收藏
页数:5
相关论文
共 18 条
[1]   Dynamical field theory for glass-forming liquids, self-consistent resummations and time-reversal symmetry [J].
Andreanov, A. ;
Biroli, G. ;
Lefevre, A. .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,
[2]   DYNAMICS OF SUPERCOOLED LIQUIDS AND THE GLASS-TRANSITION [J].
BENGTZELIUS, U ;
GOTZE, W ;
SJOLANDER, A .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1984, 17 (33) :5915-5934
[3]   Do current-density nonlinearities cut off the glass transition? [J].
Cates, ME ;
Ramaswamy, S .
PHYSICAL REVIEW LETTERS, 2006, 96 (13)
[4]   Mode-coupling theory and the glass transition in supercooled liquids [J].
Das, SP .
REVIEWS OF MODERN PHYSICS, 2004, 76 (03) :785-851
[5]   FLUCTUATING NONLINEAR HYDRODYNAMICS AND THE LIQUID-GLASS TRANSITION [J].
DAS, SP ;
MAZENKO, GF .
PHYSICAL REVIEW A, 1986, 34 (03) :2265-2282
[6]   HYDRODYNAMIC THEORY OF THE GLASS-TRANSITION [J].
DAS, SP ;
MAZENKO, GF ;
RAMASWAMY, S ;
TONER, JJ .
PHYSICAL REVIEW LETTERS, 1985, 54 (02) :118-121
[7]   THE GLASS-TRANSITION SINGULARITY [J].
GOTZE, W ;
SJOGREN, L .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1987, 65 (04) :415-427
[8]   STOCHASTIC-MODEL OF SLOW DYNAMICS IN SUPERCOOLED LIQUIDS AND DENSE COLLOIDAL SUSPENSIONS [J].
KAWASAKI, K .
PHYSICA A, 1994, 208 (01) :35-64
[9]   FLUCTUATING NONLINEAR HYDRODYNAMICS, DENSE FLUIDS, AND THE GLASS TRANSITION [J].
Kim, Bongsoo ;
Mazenko, Gene F. .
ADVANCES IN CHEMICAL PHYSICS <D>, 1990, 78 :129-170
[10]   HYDRODYNAMIC MODEL OF CONDENSATION OF VAPOR NEAR ITS CRITICAL-POINT [J].
LANGER, JS ;
TURSKI, LA .
PHYSICAL REVIEW A, 1973, 8 (06) :3230-3243