Dynamical transitions and sliding friction of the phase-field-crystal model with pinning

Abstract

We study the nonlinear driven response and sliding friction behavior of the phase-field-crystal (PFC) model with pinning including both thermal fluctuations and inertial effects. The model provides a continuous description of adsorbed layers on a substrate under the action of an external driving force at finite temperatures, allowing for both elastic and plastic deformations. We derive general stochastic dynamical equations for the particle and momentum densities including both thermal fluctuations and inertial effects. The resulting coupled equations for the PFC model are studied numerically. At sufficiently low temperatures we find that the velocity response of an initially pinned commensurate layer shows hysteresis with dynamical melting and freezing transitions for increasing and decreasing applied forces at different critical values. The main features of the nonlinear response in the PFC model are similar to the results obtained previously with molecular dynamics simulations of particle models for adsorbed layers.

7 pages, 8 figures, to appear in Physcial Review E

References in corpus (5)

• Phase-field Crystals with Elastic Interactions
• Derivation of the phase field crystal model for colloidal solidification
• Phase Diagram and Commensurate-Incommensurate Transitions in the Phase Field Crystal Model with an External Pinning Potential
• Nonlinear Driven Response of a Phase-Field Crystal in a Periodic Pinning Potential
• Thermal fluctuations and phase diagrams of the phase field crystal model with pinning

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