Wave front propagation in the Active Coagulation Model

Abstract

Spreading processes on top of active dynamics provide a novel theoretical framework for capturing emerging collective behavior in living systems. I consider run-and-tumble dynamics coupled with coagulation/decoagulation reactions that lead to an absorbing state phase transition. While the active dynamics does not change the location of the transition point, the relaxation toward the stationary state depends on motility parameters. Because of the competition between spreading dynamics and active motion, the system can support long-living currents whose typical time scale is a nontrivial function of motility and reaction rates. Because of this interplay between time-scales, the wave front propagation qualitatively changes from traveling to diffusive waves. Moving beyond the mean-field regime, instability at finite length scales regulates a crossover from periodic to diffusive modes. Finally, it is possible to individuate different mechanisms of pattern formation on a large time scale, ranging from the Fisher-Kolmogorov to the Kardar-Parisi-Zhang equation.

References in corpus (17)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Genetic drift at expanding frontiers promotes gene segregation
• Non-reciprocal phase transitions
• Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
• Non-equilibrium and information: the role of cross-correlations
• Non-reciprocity across scales in active mixtures
• Dynamics and Steady States in excitable mobile agent systems
• Understanding Contagion Dynamics through Microscopic Processes in Active Brownian Particles
• Information and motility exchange in collectives of active particles
• Fractal aggregation of active particles
• Dynamical phase transitions in the nonreciprocal Ising model
• Reaction processes among self-propelled particles
• Epidemic processes on self-propelled particles: continuum and agent-based modelling
• Fluctuations and the role of collision duration in reaction-diffusion systems
• Transition from Susceptible-Infected to Susceptible-Infected-Recovered Dynamics in a Susceptible-Cleric-Zombie-Recovered Active Matter Model
• Transient Pattern Formation in an Active Matter Contact Poisoning Model
• A generic coupling between internal states and activity leads to activation fronts and criticality in active systems