DOI: 10.1063/1.2780863. Relationships between the single particle barrier hopping theory and thermodynamic, disordered media, elastic, and jamming models of glassy systems

Relationships between the single particle barrier hopping theory and thermodynamic, disordered media, elastic, and jamming models of glassy systems

10.1063/1.2780863

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The predictions of the ultralocal limit of the activated hopping theory of highly viscous simple fluids and colloidal suspensions [K. S. Schweizer and G. Yatsenko, J. Chem. Phys. 127, 164505 (2007), preceding paper] for the relaxation time and effective activation barrier are compared with those of diverse alternative theoretical approaches and computer simulation. A nonlinear connection between the barrier height and excess pressure as empirically suggested by simulations of polydisperse repulsive force fluids is identified. In the dense normal and weakly dynamical precursor regime, where entropic barriers of hard spheres are nonexistent or of order the thermal energy, agreement with an excess entropy ansatz is found. In the random close packing or jamming limit, the barrier hopping theory predicts an essential singularity stronger than the free volume model, which is in agreement with the simplest entropic droplet nucleation and replica field theoretic approaches. Upon further technical simplification of the theory, close connections with renormalization group and nonperturbative memory function based studies of activated transport of a Brownian particle in a disordered medium can been identified. Several analytic arguments suggest a qualitative consistency between the barrier hopping theory and solid-state elastic models based on the high frequency shear modulus and a molecular-sized apparent activation volume. Implications of the analysis for the often high degeneracy of conflicting explanations of glassy dynamics are discussed.

Bibliography

Schweizer, K. S. (2007). Relationships between the single particle barrier hopping theory and thermodynamic, disordered media, elastic, and jamming models of glassy systems. The Journal of Chemical Physics, 127(16).

Authors 1

Kenneth S. Schweizer (first)

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Dates

Type	When
Created	17 years, 9 months ago (Oct. 25, 2007, 4:58 p.m.)
Deposited	2 years ago (Aug. 2, 2023, 5:29 a.m.)
Indexed	3 weeks, 1 day ago (July 30, 2025, 6:49 a.m.)
Issued	17 years, 9 months ago (Oct. 25, 2007)
Published	17 years, 9 months ago (Oct. 25, 2007)
Published Online	17 years, 9 months ago (Oct. 25, 2007)
Published Print	17 years, 9 months ago (Oct. 28, 2007)

Funders 0

None

BibTeX

@article{Schweizer_2007, title={Relationships between the single particle barrier hopping theory and thermodynamic, disordered media, elastic, and jamming models of glassy systems}, volume={127}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.2780863}, DOI={10.1063/1.2780863}, number={16}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Schweizer, Kenneth S.}, year={2007}, month=oct }

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