Document Detail


Critical viscosity exponent for classical fluids.
MedLine Citation:
PMID:  15783317     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
A self-consistent mode-coupling calculation of the critical viscosity exponent z(eta) for classical fluids is performed by including the memory effect and the vertex corrections. The incorporation of the memory effect is through a self-consistency procedure that evaluates the order parameter and shear momentum relaxation rates at nonzero frequencies, thereby taking their frequency dependence into account. This approach offers considerable simplification and efficiency in the calculation. The vertex corrections are also demonstrated to have significant effects on the numerical value for the critical viscosity exponent, in contrast to some previous theoretical work which indicated that the vertex corrections tend to cancel out from the final result. By carrying out all of the integrations analytically, we have succeeded in tracing the origin of this discrepancy to an error in earlier work. We provide a thorough treatment of the two-term epsilon expansion, as well as a complete three-dimensional analysis of the fluctuating order-parameter and transverse hydrodynamic modes. The study of the interactions of these modes is carried out to high order so as to arrive at z(eta) = 0.0679+/-0.0007 for comparison with the experimentally observed value, 0.0690+/-0.0006 .
Authors:
Hong Hao; Richard A Ferrell; Jayanta K Bhattacharjee
Related Documents :
19787847 - Time preference bias in time trade-off.
22156947 - Nonlinear dynamic modeling of neuron action potential threshold during synaptically dri...
16737727 - Fabricating data: how substituting values for nondetects can ruin results, and what can...
18252287 - Finding inheritance hierarchies in fuzzy-valued concept-networks.
22138897 - Robust control of cpg-based 3d neuromusculoskeletal walking model.
24073207 - Metaphor interpretation using paraphrases extracted from the web.
Publication Detail:
Type:  Journal Article     Date:  2005-02-14
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  71     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2005 Feb 
Date Detail:
Created Date:  2005-03-23     Completed Date:  2005-05-31     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  021201     Citation Subset:  -    
Affiliation:
Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms
Descriptor/Qualifier:

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


Previous Document:  Virial coefficients of hard spheres and hard disks up to the ninth.
Next Document:  Onset of patterns in an oscillated granular layer: continuum and molecular dynamics simulations.