The target problem with evanescent subdiffusive traps
arXiv:cond-mat/0607655 · doi:10.1103/PhysRevE.74.046119
Abstract
We calculate the survival probability of a stationary target in one dimension surrounded by diffusive or subdiffusive traps of time-dependent density. The survival probability of a target in the presence of traps of constant density is known to go to zero as a stretched exponential whose specific power is determined by the exponent that characterizes the motion of the traps. A density of traps that grows in time always leads to an asymptotically vanishing survival probability. Trap evanescence leads to a survival probability of the target that may be go to zero or to a finite value indicating a probability of eternal survival, depending on the way in which the traps disappear with time.
References in corpus (21)
- Reaction Front in an A+B -> C Reaction-Subdiffusion Process
- Anomalous Dynamics of Forced Translocation
- Diffusion on a solid surface: Anomalous is normal
- Fractional Reaction-Diffusion Equation
- On reaction-subdiffusion equations
- Subdiffusion-limited reactions
- From subdiffusion to superdiffusion of particles on solid surfaces
- Sub-diffusion and localization in the one dimensional trap model
- How to Measure Subdiffusion Parameters
- Aging in the random energy model
- Exact Asymptotics for One-Dimensional Diffusion with Mobile Traps
- Pascal Principle for Diffusion-Controlled Trapping Reactions
- Trapping Reactions with Randomly Moving Traps: Exact Asymptotic Results for Compact Exploration
- Survival probability of a diffusing particle in the presence of Poisson-distributed mobile traps
- Measuring subdiffusion parameters
- Anomalous dynamics of confined water at low hydration
- Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents
- Formal Solution of a Class of Reaction-Diffusion Models: Reduction to a Single-Particle Problem
- Some exact results for the trapping of subdiffusive particles in one dimension
- Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation
- Two-Dimensional Diffusion in the Presence of Topological Disorder
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- Survival probability of an immobile target in a sea of evanescent diffusive or subdiffusive traps: a fractional equation approach
- Optimal search strategies of space-time coupled random walkers with finite lifetimes
- Evanescent continuous time random walks
- Universality classes of foraging with resource renewal
- First-encounter time of two diffusing particles in confinement
- Survival probability of a diffusing particle constrained by two moving, absorbing boundaries
- Exact asymptotics for non-radiative migration-accelerated energy transfer in one-dimensional systems
- Phase transitions and crossovers in reaction-diffusion models with catalyst deactivation