Negative differential mobility of weakly driven particles in models of glass formers
arXiv:0803.2002 · doi:10.1103/PhysRevE.78.011506
Abstract
We study the response of probe particles to weak constant driving in kinetically constrained models of glassy systems, and show that the probe's response can be non-monotonic and give rise to negative differential mobility: increasing the applied force can reduce the probe's drift velocity in the force direction. Oth er significant non-linear effects are also demonstrated, such as the enhancement with increasing force of the probe's fluctuations away from the average path, a phenomenon known in other contexts as giant diffusivity. We show that these res ults can be explained analytically by a continuous-time random walk approximatio n where there is decoupling between persistence and exchange times for local dis placements of the probe. This decoupling is due to dynamic heterogeneity in the glassy system, which also leads to bimodal distributions of probe particle disp lacements. We discuss the relevance of our results to experiments.
8 pages, 5 figs
References in corpus (24)
- Glassy dynamics of kinetically constrained models
- Geometrical explanation and scaling of dynamical heterogeneities in glass forming systems
- Universal nature of particle displacements close to glass and jamming transitions
- Properties of cage rearrangements observed near the colloidal glass transition
- Coarse-grained microscopic model of glass formers
- Excitation lines and the breakdown of Stokes-Einstein relations in supercooled liquids
- Length scale for the onset of Fickian diffusion in supercooled liquids
- Forced motion of a probe particle near the colloidal glass transition
- Spatial structures and dynamics of kinetically constrained models for glasses
- Real space origin of temperature crossovers in supercooled liquids
- Giant Colloidal Diffusivity on Corrugated Optical Vortices
- Dynamical Exchanges in Facilitated Models of Supercooled liquids
- Lengthscale dependence of dynamic four-point susceptibilities in glass formers
- Heterogeneity and growing lengthscales in the dynamics of kinetically constrained lattice gases in two dimensions
- De-coupling of Exchange and Persistence Times in Atomistic Models of Glass Formers
- Getting More from Pushing Less: Negative Specific Heat and Conductivity in Non-equilibrium Steady States
- Critical fluctuations and breakdown of Stokes-Einstein relation in the Mode-Coupling Theory of glasses
- Negative Resistance in Brownian Transport
- Depinning by Fracture in a Glassy Background
- Directional Locking Effects and Dynamics for Particles Driven Through a Colloidal Lattice
- Cooperative Behavior of Kinetically Constrained Lattice Gas Models of Glassy Dynamics
- Cooperative Behavior and Pattern Formation in Mixtures of Driven and Nondriven Colloidal Assemblies
- Stripes, Clusters, and Nonequilibrium Ordering for Bidisperse Colloids with Repulsive Interactions
- Driven lattice glass as a ratchet and pawl machine
Cited by in corpus (23)
- Dynamics on the Way to Forming Glass: Bubbles in Space-time
- Frenesy: time-symmetric dynamical activity in nonequilibria
- Geometry-induced superdiffusion in driven crowded systems
- Anomalous diffusion of driven particles in supercooled liquids
- Tracer diffusion in crowded narrow channels. Topical review
- Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
- Bursts of Active Transport in Living Cells
- Driven tracer with absolute negative mobility
- Role of trapping and crowding as sources of negative differential mobility
- Observation of strongly heterogeneous dynamics at the depinning transition in a colloidal glass
- Negative Differential Mobility and Trapping in Active Matter Systems
- Field-induced superdiffusion and dynamical heterogeneity
- Negative Differential Mobility in Interacting Particle Systems
- Thermodynamic formalism and linear response theory for non-equilibrium steady states
- Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows
- Microrheology of supercooled liquids in terms of a continuous time random walk
- Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases
- A class of random walks in reversible dynamic environment: antisymmetry and applications to the East model
- Colloidal Lattice Shearing and Rupturing with a Driven Line of Particles
- Discontinuous Thinning in Active Microrheology of Soft Complex Matter
- Analysis of random walks in dynamic random environments via -perturbations
- Time-dependent perpendicular fluctuations in the driven lattice Lorentz gas
- Macroscopic charge segregation in driven polyelectrolyte solutions