Simple theory of viscosity in liquids

Bellissard, Jean; Egami, Takeshi

doi:10.1103/PhysRevE.98.063005

Title: Simple theory of viscosity in liquids

Abstract

A simplistic model of atomic dynamics in liquid, based on the concept of dynamic fluctuations in local atomic connectivity, is proposed to elucidate the temperature variation of the viscosity of a material in its liquid phase. Within the simplifications and hypothesis made to define the model, it is possible to explain the crossover from a simple liquid to a cooperative liquid and covariance of viscosity near the glass transition temperature. The model is a mechanical analog of the Drude model for the electric transport in metal.

Authors:

Bellissard, Jean ^[1]; Egami, Takeshi ^[2]

Georgia Inst. of Technology, Atlanta, GA (United States); Westfälische Wilhelms-Univ., Münster (Germany)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

Publication Date:: Fri Dec 21 00:00:00 EST 2018

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1493987

Alternate Identifier(s):: OSTI ID: 1488683

Grant/Contract Number:: AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review E

Additional Journal Information:: Journal Volume: 98; Journal Issue: 6; Journal ID: ISSN 2470-0045

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Bellissard, Jean, and Egami, Takeshi. Simple theory of viscosity in liquids.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevE.98.063005.

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                    Bellissard, Jean, & Egami, Takeshi. Simple theory of viscosity in liquids.  United States.  https://doi.org/10.1103/PhysRevE.98.063005

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                    Bellissard, Jean, and Egami, Takeshi. Fri .  
"Simple theory of viscosity in liquids".  United States.  https://doi.org/10.1103/PhysRevE.98.063005.  https://www.osti.gov/servlets/purl/1493987.

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@article{osti_1493987,

  title        = {Simple theory of viscosity in liquids},

  author       = {Bellissard, Jean and Egami, Takeshi},

  abstractNote = {A simplistic model of atomic dynamics in liquid, based on the concept of dynamic fluctuations in local atomic connectivity, is proposed to elucidate the temperature variation of the viscosity of a material in its liquid phase. Within the simplifications and hypothesis made to define the model, it is possible to explain the crossover from a simple liquid to a cooperative liquid and covariance of viscosity near the glass transition temperature. The model is a mechanical analog of the Drude model for the electric transport in metal.},

  doi          = {10.1103/PhysRevE.98.063005},

  journal      = {Physical Review E},

  number       = 6,

  volume       = 98,

  place        = {United States},

  year         = {Fri Dec 21 00:00:00 EST 2018},

  month        = {Fri Dec 21 00:00:00 EST 2018}

}

Copy to clipboard

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Works referencing / citing this record:

Heat capacity of simple liquids in light of hydrodynamics as U(1) gauge theory
journal, July 2019

Tomiyoshi, Yoshinori; Ueda, Daiki
Physical Review E, Vol. 100, Issue 1
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Heat capacity of liquids in light of hydrodynamics as U(1) gauge theory
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Tomiyoshi, Yoshinori; Ueda, Daiki
arXiv
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Similar Records

Title: Simple theory of viscosity in liquids

Abstract

Citation Formats

Shear-transformation-zone theory of deformation in metallic glasses journal, February 2006

A Geometrical Approach to the Structure Of Liquids journal, January 1959

Dynamics of shear-transformation zones in amorphous plasticity: Energetic constraints in a minimal theory journal, December 2003

The origin of viscosity as seen through atomic level stress correlation function journal, January 2013

Corresponding States of Structural Glass Formers journal, April 2009

Crossover from Localized to Cascade Relaxations in Metallic Glasses journal, July 2015

Local atomic structure of amorphous and crystalline alloys: Computer simulation journal, January 1987

Connections between some kinetic and equilibrium theories of the glass transition journal, April 1987

Icosahedral Bond Orientational Order in Supercooled Liquids journal, November 1981

Structural Rearrangements That Govern Flow in Colloidal Glasses journal, December 2007

Equipartition theorem and the dynamics of liquids journal, August 2008

Quasicrystals and crystalline approximants journal, January 1993

Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures journal, January 2018

Local fluctuations and ordering in liquid and amorphous metals journal, February 1988

Evidence of a Glass–Liquid Transition in a Gold–Germanium–Silicon Alloy journal, March 1968

Local structural fluctuations in amorphous and liquid metals: a simple theory of the glass transition journal, October 1982

The mysterious glass transition journal, February 2007

Structural defects in amorphous solids Statistical analysis of a computer model journal, October 1981

Zur Elektronentheorie der Metalle journal, January 1900

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Supercooled liquids and the glass transition journal, March 2001

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Order, frustration, and defects in liquids and glasses journal, November 1983

Through the Glass Lightly journal, March 1995

Structural defects in amorphous solids A computer simulation study journal, June 1980

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The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment journal, December 2005

Zur Elektronentheorie der Metalle; II. Teil. Galvanomagnetische und thermomagnetische Effecte journal, January 1900

Dynamics of shear-transformation zones in amorphous plasticity: Formulation in terms of an effective disorder temperature journal, October 2004

Formation of Glasses from Liquids and Biopolymers journal, March 1995

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Shear-transformation-zone theory of deformation in metallic glasses
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A Geometrical Approach to the Structure Of Liquids
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Dynamics of shear-transformation zones in amorphous plasticity: Energetic constraints in a minimal theory
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The origin of viscosity as seen through atomic level stress correlation function
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Corresponding States of Structural Glass Formers
journal, April 2009

Crossover from Localized to Cascade Relaxations in Metallic Glasses
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Local atomic structure of amorphous and crystalline alloys: Computer simulation
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Connections between some kinetic and equilibrium theories of the glass transition
journal, April 1987

Icosahedral Bond Orientational Order in Supercooled Liquids
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Structural Rearrangements That Govern Flow in Colloidal Glasses
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Equipartition theorem and the dynamics of liquids
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Quasicrystals and crystalline approximants
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Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures
journal, January 2018

Local fluctuations and ordering in liquid and amorphous metals
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Evidence of a Glass–Liquid Transition in a Gold–Germanium–Silicon Alloy
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Local structural fluctuations in amorphous and liquid metals: a simple theory of the glass transition
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The mysterious glass transition
journal, February 2007

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journal, January 1900

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Supercooled liquids and the glass transition
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Entropic barriers, activated hopping, and the glass transition in colloidal suspensions
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Order, frustration, and defects in liquids and glasses
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Structural defects in amorphous solids A computer simulation study
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Experimental characterization of shear transformation zones for plastic flow of bulk metallic glasses
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Proposal for universality in the viscosity of metallic liquids
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Dynamics of viscoplastic deformation in amorphous solids
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Energy landscape-driven non-equilibrium evolution of inherent structure in disordered material
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Plastic deformation in metallic glasses
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An atomically quantized hierarchy of shear transformation zones in a metallic glass
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