Absorbing phase transitions in systems with mediated interactions

Abstract

Experiments of periodically sheared colloidal suspensions or soft amorphous solids display a transition from reversible to irreversible particle motion that, when analysed stroboscopically in time, is interpreted as an absorbing phase transition with infinitely many absorbing states. In these systems interactions mediated by hydrodynamics or elasticity are present, causing passive regions to be affected by nearby active ones. We show that mediated interactions induce a new universality class of absorbing phase transitions, distinct from Conserved Directed Percolation, and we obtain the corresponding critical exponents. We do so with large-scale numerical simulations of a minimal model for the stroboscopic dynamics of sheared soft materials and derive the minimal field theoretical description.

4 pages, 4 figures

References in corpus (10)

• Hyperuniformity of critical absorbing states
• Hyperuniform density fluctuations and diverging dynamic correlations in periodically driven colloidal suspensions
• A microscopic view of the yielding transition in concentrated emulsions
• Universality Class of the Reversible-Irreversible Transition in Sheared Suspensions
• An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
• Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap
• Absorbing-state transitions in granular materials close to jamming
• Cyclic annealing as an iterated random map
• General flux to a trap in one and three dimensions
• Geometrically-protected reversibility in hydrodynamic Loschmidt-echo experiments

Cited by in corpus (9)

• Non-equilibrium dynamic hyperuniform states
• Interplay between an absorbing phase transition and synchronization in a driven granular system
• Yielding is an absorbing phase transition with vanishing critical fluctuations
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Giant density fluctuations in locally hyperuniform states
• Random organization criticality with long-range hydrodynamic interactions
• Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium
• Avalanches in the Random Organization Model with long-range interactions
• Yielding versus random organization: convex absorbing transitions in soft matter