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Title: The viscosity to entropy ratio: From string theory motivated bounds to warm dense matter

Abstract

Here, we study the ratio of viscosity to entropy density in Yukawa one-component plasmas as a function of coupling parameter at fixed screening, and in realistic warm dense matter models as a function of temperature at fixed density. In these two situations, the ratio is minimized for values of the coupling parameters that depend on screening, and for temperatures that in turn depend on density and material. In this context, we also examine Rosenfeld arguments relating transport coefficients to excess reduced entropy for Yukawa one-component plasmas. For these cases we show that this ratio is always above the lower-bound conjecture derived from string theory ideas.

Authors:
 [1];  [2];  [3]
  1. CEA, DAM, DIF, Arpajon (France)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Univ. di Padova, Padova (Italy); DEMOCRITOS National Simulation Center, Trieste (Italy)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1249122
Report Number(s):
LLNL-JRNL-655596
Journal ID: ISSN 1574-1818
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
High Energy Density Physics
Additional Journal Information:
Journal Volume: 12; Journal Issue: C; Journal ID: ISSN 1574-1818
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; 70 PLASMA PHYSICS AND FUSION; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; viscosity; entropy density; Yukawa one-component plasmas; warm dense matter

Citation Formats

Faussurier, G., Libby, S. B., and Silvestrelli, P. L. The viscosity to entropy ratio: From string theory motivated bounds to warm dense matter. United States: N. p., 2014. Web. doi:10.1016/j.hedp.2014.06.001.
Faussurier, G., Libby, S. B., & Silvestrelli, P. L. The viscosity to entropy ratio: From string theory motivated bounds to warm dense matter. United States. https://doi.org/10.1016/j.hedp.2014.06.001
Faussurier, G., Libby, S. B., and Silvestrelli, P. L. Fri . "The viscosity to entropy ratio: From string theory motivated bounds to warm dense matter". United States. https://doi.org/10.1016/j.hedp.2014.06.001. https://www.osti.gov/servlets/purl/1249122.
@article{osti_1249122,
title = {The viscosity to entropy ratio: From string theory motivated bounds to warm dense matter},
author = {Faussurier, G. and Libby, S. B. and Silvestrelli, P. L.},
abstractNote = {Here, we study the ratio of viscosity to entropy density in Yukawa one-component plasmas as a function of coupling parameter at fixed screening, and in realistic warm dense matter models as a function of temperature at fixed density. In these two situations, the ratio is minimized for values of the coupling parameters that depend on screening, and for temperatures that in turn depend on density and material. In this context, we also examine Rosenfeld arguments relating transport coefficients to excess reduced entropy for Yukawa one-component plasmas. For these cases we show that this ratio is always above the lower-bound conjecture derived from string theory ideas.},
doi = {10.1016/j.hedp.2014.06.001},
journal = {High Energy Density Physics},
number = C,
volume = 12,
place = {United States},
year = {Fri Jul 04 00:00:00 EDT 2014},
month = {Fri Jul 04 00:00:00 EDT 2014}
}

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Works referenced in this record:

Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
journal, March 2005


Nearly perfect fluidity: from cold atomic gases to hot quark gluon plasmas
journal, November 2009


AdS/CFT applications to relativistic heavy-ion collisions: a brief review
journal, November 2012


Ratio of viscosity to entropy density in a strongly coupled one-component plasma
journal, June 2008


Improved equation of state for the classical one-component plasma
journal, June 1980


Molecular dynamics calculation of the thermal conductivity and shear viscosity of the classical one-component plasma
journal, January 2000

  • Donkó, Z.; Nyı́ri, B.
  • Physics of Plasmas, Vol. 7, Issue 1
  • DOI: 10.1063/1.873824

Shear viscosity of strongly coupled Yukawa systems
journal, April 2002

  • Saigo, T.; Hamaguchi, S.
  • Physics of Plasmas, Vol. 9, Issue 4
  • DOI: 10.1063/1.1459708

Thermodynamics of strongly‐coupled Yukawa systems near the one‐component‐plasma limit. I. Derivation of the excess energy
journal, December 1994

  • Hamaguchi, S.; Farouki, R. T.
  • The Journal of Chemical Physics, Vol. 101, Issue 11
  • DOI: 10.1063/1.467954

Thermodynamics of strongly‐coupled Yukawa systems near the one‐component‐plasma limit. II. Molecular dynamics simulations
journal, December 1994

  • Farouki, R. T.; Hamaguchi, S.
  • The Journal of Chemical Physics, Vol. 101, Issue 11
  • DOI: 10.1063/1.467955

Triple point of Yukawa systems
journal, October 1997


Numerical Simulations of Screened Coulomb Systems. A Comparison Between Hyperspherical and Periodic Boundary Conditions
journal, September 2000

  • Caillol, J. M.; Gilles, D.
  • Journal of Statistical Physics, Vol. 100, Issue 5/6, p. 905-932
  • DOI: 10.1023/A:1018775311536

Monte Carlo Simulations of the Yukawa One-Component Plasma
journal, September 2000

  • Caillol, J. M.; Gilles, D.
  • Journal of Statistical Physics, Vol. 100, Issue 5/6, p. 933-947
  • DOI: 10.1023/A:1018727428374

Gibbs-Bogolyubov inequality and transport properties for strongly coupled Yukawa fluids
journal, April 2003


Shear viscosity of strongly coupled Yukawa liquids
journal, August 2008


Relation between the transport coefficients and the internal entropy of simple systems
journal, June 1977


A quasi-universal scaling law for atomic transport in simple fluids
journal, January 1999


An equation of state for fully ionized hydrogen
journal, January 1990


Electric microfield distributions in electron-ion plasmas
journal, March 2002


Comments on the variational modified-hypernetted-chain theory for simple fluids
journal, February 1986

  • Rosenfeld, Yaakov
  • Journal of Statistical Physics, Vol. 42, Issue 3-4
  • DOI: 10.1007/BF01127720

Screening Enhancement of Thermonuclear Reactions in High Density Stars
journal, January 1999


Ratio of shear viscosity to entropy density for trapped fermions in the unitarity limit
journal, December 2007


Ab initio study of deuterium in the dissociating regime: Sound speed and transport properties
journal, November 2001


The viscosity of dense hydrogen: from liquid to plasma behaviour
journal, September 2002


Hard-Sphere variational approach using an ab initio molecular dynamics code
journal, April 2008

  • Faussurier, Gérald; Blancard, Christophe; Silvestrelli, Pier Luigi
  • Physical Review B, Vol. 77, Issue 15
  • DOI: 10.1103/PhysRevB.77.155126

Metallization of Fluid Molecular Hydrogen at 140 GPa (1.4 Mbar)
journal, March 1996


Insulator-to-Conducting Transition in Dense Fluid Helium
journal, May 2010


Complex Behavior of Fluid Lithium under Extreme Conditions
journal, August 2008


Works referencing / citing this record:

A viscous quantum hydrodynamics model based on dynamic density functional theory
journal, November 2017


Perspective: Excess-entropy scaling
journal, December 2018

  • Dyre, Jeppe C.
  • The Journal of Chemical Physics, Vol. 149, Issue 21
  • DOI: 10.1063/1.5055064

A viscous quantum hydrodynamics model based on dynamic density functional theory
journal, November 2017