Statistical mechanics of the coagulation-diffusion process with a stochastic reset

Abstract

The effects of a stochastic reset, to its initial configuration, is studied in the exactly solvable one-dimensional coagulation-diffusion process. A finite resetting rate leads to a modified non-equilibrium stationary state. If in addition the input of particles at a fixed given rate is admitted, a competition between the resetting and the input rates leads to a non-trivial behaviour of the particle-density in the stationary state. From the exact inter-particle probability distribution, a simple physical picture emerges: the reset mainly changes the behaviour at larger distance scales, while at smaller length scales, the non-trivial correlation of the model without a reset dominates.

19 pages, 12 figures

References in corpus (4)

• Monotonous continuous-time random walks with drift and stochastic reset events
• First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
• Measurement of a reaction-diffusion crossover in exciton-exciton recombination inside carbon nanotubes using femtosecond optical absorption
• Survival probability of an immobile target surrounded by mobile traps

Cited by in corpus (70)

• Stochastic Resetting and Applications
• First Passage Under Restart
• First order transition for the optimal search time of Lévy flights with resetting
• Diffusion under time-dependent resetting
• Run and tumble particle under resetting: a renewal approach
• Diffusion in a potential landscape with stochastic resetting
• Diffusion with resetting in arbitrary spatial dimension
• Stochastic resetting in backtrack recovery by RNA polymerases
• Dynamical transition in the temporal relaxation of stochastic processes under resetting
• Diffusion with stochastic resetting at power-law times
• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• Fluctuating interfaces subject to stochastic resetting
• First passage under stochastic resetting in an interval
• Optimal first arrival times in Lévy flights with resetting
• Stochastic resetting: A (very) brief review
• Large deviations for Markov processes with resetting
• The inspection paradox in stochastic resetting
• Quantum dynamics with stochastic reset
• Péclet number governs transition to acceleratory restart in drift-diffusion
• Landau theory of restart transitions
• First passage under restart with branching
• Random walk with random resetting to the maximum
• Symmetric Exclusion Process under Stochastic Resetting
• Non-renewal resetting of scaled Brownian motion
• Phase transitions in optimal search times: how random walkers should combine resetting and flight scales
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Stochastic resetting with stochastic returns using external trap
• Ising model with stochastic resetting
• Transport properties and first arrival statistics of random searches with stochastic reset times
• Transport properties of random walks under stochastic non-instantaneous resetting
• Geometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process
• Sisyphus random walk
• Continuous-time random walks with reset events: Historical background and new perspectives
• Stochastic resetting in interacting particle systems: A review
• Brownian motion under intermittent harmonic potentials
• Interacting Brownian Motion with Resetting
• Local time of diffusion with stochastic resetting
• Stochastic processes subject to a reset-and-residence mechanism: transport properties and first arrival statistics
• Mean perimeter and area of the convex hull of a planar Brownian motion in the presence of resetting
• Resetting with stochastic return through linear confining potential
• Stochastic resetting on comb-like structures
• First-passage Brownian functionals with stochastic resetting
• Number of distinct sites visited by a resetting random walker
• Resetting of fluctuating interfaces at power-law times
• Comparison of two models of tethered motion
• Synchronization in the Kuramoto model in presence of stochastic resetting
• Diffusion processes with Gamma-distributed resetting and non-instantaneous returns
• Controlling particle currents with evaporation and resetting from an interval
• Discrete space-time resetting model: Application to first-passage and transmission statistics
• Quantum unitary evolution interspersed with repeated non-unitary interactions at random times: The method of stochastic Liouville equation, and two examples of interactions in the context of a tight-binding chain
• Anomalous diffusion in random-walks with memory-induced relocations
• Fractional Laplacians in bounded domains: Killed, reflected, censored and taboo Lévy flights
• General approach to stochastic resetting
• Open quantum reaction-diffusion dynamics: absorbing states and relaxation
• Zero-current Nonequilibrium State in Symmetric Exclusion Process with Dichotomous Stochastic Resetting
• Aggregation with constant kernel under stochastic resetting
• Encounter-controlled coalescence and annihilation on a one-dimensional growing domain
• Biased random walk on random networks in presence of stochastic resetting: Exact results
• Efficiency of a microscopic heat engine subjected to stochastic resetting
• Comparing the roles of time overhead and spatial dimensions on optimal resetting rate vanishing transitions, in Brownian processes with potential bias and stochastic resetting
• Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
• Stochastic resetting in a networked multiparticle system with correlated transitions
• Crossover from Anomalous to Normal Diffusion: Ising Model with Stochastic Resetting
• Autocorrelation functions and ergodicity in diffusion with stochastic resetting
• Modified stochastic fragmentation of an interval as an ageing process
• Ising Model with Power Law Resetting
• Stationary state of harmonic chains driven by boundary resetting
• Gaussian Process and Levy Walk under Stochastic Non-instantaneous Resetting and Stochastic Rest
• Winding number of a Brownian particle on a ring under stochastic resetting
• Experimental evidence for strong emergent correlations between particles in a switching trap