Pinning and Tribology of Tethered Monolayers on Disordered Substrates

Abstract

We study the statistical mechanics and dynamics of crystalline films with a fixed internal connectivity on a random substrate. Defect free triangular lattices exhibit a sharp transition to a low temperature glassy phase with anomalous phonon fluctuations and a nonlinear force-displacement law with a continuously variable exponent, similar to the vortex glass phase of directed lines in 1+1 dimensions. The periodicity of the tethered monolayer acts like a filter which amplifies particular Fourier components of the disorder. However, the absence of annealed topological defects like dislocations is crucial: the transition is destroyed when the constraint of fixed connectivity is relaxed and dislocations are allowed to proliferate.

revtex, preprint style, 27 pages. This submission is a revision of cond-mat/9607184. The revisions affect only Appendix B, Appendix C, and Eqs. 2.27, 2.28, 2.32

References in corpus (1)

• The Tribology of Sliding Elastic Media

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