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Microscopic theory for hopping transport in glass-forming liquids

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  • Liu, Cliff Z.-W.
  • Oppenheim, Irwin

Abstract

Under the assumption that structural relaxation is dominated by the decay of clusters of particles, we develop a microscopic theory for transport in a strongly supercooled liquid. By introducing a local order parameter that describes the geometry of particle aggregates in addition to the number density and momentum density, we obtain an expression for the effective longitudinal viscosity in which a hopping tem emerges nonperturbatively. We find that the hopping kernel of the present work arises from couplings to bilinear density-momentum modes in agreement with previous mode-coupling treatments. However, the magnitude of the hopping kernel is suppressed through a wave vector cutoff instead of the previously suggested initial time cutoff.

Suggested Citation

  • Liu, Cliff Z.-W. & Oppenheim, Irwin, 1997. "Microscopic theory for hopping transport in glass-forming liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 183-195.
    • Handle: RePEc:eee:phsmap:v:247:y:1997:i:1:p:183-195
    DOI: 10.1016/S0378-4371(97)00409-3
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    References listed on IDEAS

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    1. Schwartz, Daniel K. & Ruiz-Garcia, Jaime & Qiu, Xia & Selinger, Jonathan V. & Knobler, Charles M., 1994. "Tilt stripe textures in Langmuir monolayers of fatty acids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 606-615.
    2. Kivelson, Daniel & Kivelson, Steven A. & Zhao, Xiaolin & Nussinov, Zohar & Tarjus, Gilles, 1995. "A thermodynamic theory of supercooled liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(1), pages 27-38.
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