2010/02/16 by B. Hertz Shargel, B Hertz Shargel, Maria R. D’Orsogna +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Diffusion and Search Dynamics #Dynamics (music) #Evaporation #Geology #Geometry #Materials science #Mathematics #Mechanics #Particle (ecology) #Particle number #Physics #Plasma #Quantum mechanics #Random Matrices and Applications #Range (aeronautics) #Statistical physics #Stochastic processes and statistical mechanics #Surface (topology) #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8113/43/30/305003
18 pages, 6 figures
arxiv created 2010/02/16 · openalex publication_date 2010/06/29 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Explicit expressions for arrival times of particles moving in a one-dimensional zero-range process (ZRP) are computed. Particles are fed into the ZRP from an injection site and can evaporate from any site of the one-dimensional lattice. Two dynamics are considered: bulk dynamics, where particle hopping and decay are proportional to the number of particles at each site, and surface dynamics, where only the top particle at each site can hop or evaporate. We find exact solutions in the bulk dynamics case and for a single-site ZRP obeying surface dynamics. For a multisite ZRP obeying surface dynamics, we compare simulations with approximations obtained from the steady-state limit, where mean interarrival times for both models are equivalent. Our results highlight the competition between injection and evaporation in the arrival times of particles to an absorbing site.