Department of Physics Papers

Document Type

Journal Article

Date of this Version

2-1-1997

Publication Source

Physical Review E

Volume

55

Issue

2

Start Page

1739

Last Page

1751

DOI

10.1103/PhysRevE.55.1739

Abstract

By focusing on entire gas bubbles, rather than soap films or vertices, a microscopic model was recently developed for the macroscopic deformation and flow of foam in which dimensionality, energy storage, and dissipation mechanisms, polydispersity, and the gas-liquid ratio all can be varied easily [D. J. Durian, Phys. Rev. Lett. 75, 4780 (1995)]. Here, a more complete account of the model is presented, along with results for linear rheological properties as a function of the latter two important physical parameters. It is shown that the elastic character vanishes with increasing liquid content in a manner that is consistent with rigidity percolation and that is almost independent of polydispersity. As the melting transition is approached, the bubble motion becomes increasingly nonaffine and the relaxation time scale appears to diverge. Results are also presented for nonlinear behavior at large applied stress, and for the sudden avalanchelike rearrangements of bubbles from one tightly packed configuration to another at small applied strain rates. The distribution of released energy is a power law for small events, but exhibits an exponential cutoff independent of system size. This is in accord with multiple light scattering experiments, but not with other simulations predicting self-organized criticality.

Copyright/Permission Statement

© 1997 American Physical Society. You van view the original article at: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.55.1739

Comments

At the time of publication, author Douglas J. Durian was affiliated with University of California, Los Angeles. Currently, he is a faculty member at the Physics Department at the University of Pennsylvania.

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Date Posted:10 October 2017

This document has been peer reviewed.