Dynamical transitions in correlated driven diffusion in a periodic potential

Abstract

The diffusion of a two-dimensional array of particles driven by a constant force in the presence of a periodic external potential exhibits a hierarchy of dynamical phase transitions when the driving force is varied. This behavior can be explained by a simple phenomenological approach which reduces the system of strongly interacting particles to weakly interacting quasi-particles (kinks). The richness of the strongly coupled system is however not lost because, contrary to a single-Brownian particle, the array shows an hysteretic behavior even at non-zero temperature. The present investigation can be viewed as a first step toward understanding nanotribology.

4 pages, 3 pictures, revtex to appear in Phys Rev. Lett

Cited by in corpus (36)

• Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review
• Moving glass theory of driven lattices with disorder
• Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning
• Chromatin dynamics: Nucleosomes go mobile through twist defects
• On the driven Frenkel-Kontorova model: I. Uniform sliding states and dynamical domains of different particle densities
• Friction in a solid lubricant film
• Onset of sliding friction in incommensurate systems
• Moving Vortex Phases, Dynamical Symmetry Breaking, and Jamming for Vortices in Honeycomb Pinning Arrays
• On the driven Frenkel-Kontorova model: II. Chaotic sliding and nonequilibrium melting and freezing
• Dynamical phase diagram of the dc-driven underdamped Frenkel-Kontorova chain
• Dynamic Regimes for Driven Colloidal Particles on a Periodic Substrate at Commensurate and Incommensurate Fillings
• Magnus-Induced Dynamics of Driven Skyrmions on a Quasi-One-Dimensional Periodic Substrate
• Origin of Multikinks in Dispersive Nonlinear Systems
• Dynamical transitions and sliding friction in the two-dimensional Frenkel-Kontorova model
• Transverse thermal depinning and nonlinear sliding friction of an adsorbed monolayer
• Spontaneous Symmetry Breaking for Driven Interacting Particles on Triangular Substrates
• Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas
• Nonlinear sliding friction of adsorbed overlayers on disordered substrates
• Electronic properties of the 1D Frenkel-Kontorova model
• Quantum Frenkel-Kontorova Model
• Phase transitions in thick branes endorsed by entropic information
• Analytical Multi-kinks in smooth potentials
• Ground state wavefunction of the quantum Frenkel-Kontorova model
• Fractal Spin Glass Properties of Low Energy Configurations in the Frenkel-Kontorova chain
• Resonance-like phenomena of the mobility of a chain of nonlinear coupled oscillators in a two-dimensional periodic potential
• Multikink solutions and deformed defects
• Driven Dynamics: A Probable Photodriven Frenkel-Kontorova Model
• Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects
• Stokes' Drift of linear Defects
• Mode-locking of incommensurate phase by quantum zero point energy in the Frenkel-Kontorova model
• Array-induced collective transport in the Brownian motion of coupled nonlinear oscillator systems
• Configurational entropy and Newton's Law in double sine-Gordon braneworlds
• Parallel updating cellular automaton models of driven diffusive Frenkel-Kontorova-type systems
• Quantum phase transition in one-dimensional commensurate Frenkel-Kontorova model
• Defect-induced perturbations of atomic monolayers on solid surfaces
• Discreteness effects on soliton dynamics: a simple experiment