Criticality and correlated dynamics at the irreversibility transition in periodically driven colloidal suspensions

Abstract

One possible framework to interpret the irreversibility transition observed in periodically driven colloidal suspensions is that of a non-equilibrium phase transition towards an absorbing reversible state at low amplitude of the driving force. We consider a simple numerical model for driven suspensions which allows us to characterize in great detail a large body of physical observables that can be experimentally determined to assess the existence and universality class of such a non-equilibrium phase transition. Characterizing the behaviour of static and dynamic correlation functions both in real and Fourier space we determine in particular several critical exponents for our model, which take values that are in good agreement with the universality class of direct ed percolation. We also provide a detailed analysis of single-particle and collective dynamics of the system near the phase transition, which appear intermittent and spatially correlated over diverging timescales and lengthscales, and provide clear signatures of the underlying criticality.

27 pages, 12 figures; J. Stat. Mech. (in press)

References in corpus (12)

• Theoretical perspective on the glass transition and amorphous materials
• Hyperuniformity of critical absorbing states
• Emergent hyperuniformity in periodically-driven emulsions
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• A microscopic view of the yielding transition in concentrated emulsions
• Suppressed compressibility at large scale in jammed packings of size disperse spheres
• Reversible to Irreversible Flow Transition in Periodically Driven Vortices
• Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions
• Thermal fluctuations, mechanical response, and hyperuniformity in jammed solids
• Search for Hyperuniformity in Mechanically Stable Packings of Frictionless Disks Above Jamming
• Evidence for non-ergodicity in quiescent states of periodically sheared suspensions
• Geometrically-protected reversibility in hydrodynamic Loschmidt-echo experiments

Cited by in corpus (21)

• Period proliferation in periodic states in cyclically sheared jammed solids
• Unsupervised machine learning for detection of phase transitions in off-lattice systems II. Applications
• Two-dimensional crystals far from equilibrium
• Reversibility, Pattern Formation and Edge Transport in Active Chiral and Passive Disk Mixtures
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
• Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic Advection
• Hyperuniformity of generalized random organization models
• Analogies between growing dense active matter and soft driven glasses
• Absorbing phase transitions in systems with mediated interactions
• A model for approximately stretched-exponential relaxation with continuously varying stretching exponents
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Geometrical properties of mechanically annealed systems near the jamming transition
• Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving
• Propagating irreversibility fronts in cyclically-sheared suspensions
• Giant density fluctuations in locally hyperuniform states
• Treating random sequential addition via the replica method
• Emergent universal long-range structure in random-organizing systems
• Random organization criticality with long-range hydrodynamic interactions
• Avalanches in the Random Organization Model with long-range interactions
• Yielding versus random organization: convex absorbing transitions in soft matter