Single-file dynamics with different diffusion constants

Abstract

We investigate the single-file dynamics of a tagged particle in a system consisting of N hardcore interacting particles (the particles cannot pass each other) which are diffusing in a one-dimensional system where the particles have different diffusion constants. For the two particle case an exact result for the conditional probability density function (PDF) is obtained for arbitrary initial particle positions and all times. The two-particle PDF is used to obtain the tagged particle PDF. For the general N-particle case (N large) we perform stochastic simulations using our new computationally efficient stochastic simulation technique based on the Gillespie algorithm. We find that the mean square displacement for a tagged particle scales as the square root of time (as for identical particles) for long times, with a prefactor which depends on the diffusion constants for the particles; these results are in excellent agreement with very recent analytic predictions in the mathematics literature.

9 pages, 5 figures. Journal of Chemical Physics (in press)

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Cited by in corpus (16)

• Diffusion of Finite-Sized Hard-Core Interacting Particles In a One-Dimensional Box - Tagged Particle Dynamics
• First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
• Single-File Diffusion of Externally Driven Particles
• Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
• Tagged particle in single-file diffusion with arbitrary initial conditions
• Order-preserving dynamics in one dimension -- single-file diffusion and caging from the perspective of dynamical density functional theory
• Diffusion of two particles with a finite interaction potential in one dimension
• Brownian walkers within subdiffusing territorial boundaries
• Dissimilar bouncy walkers
• Current and density fluctuations for interacting particle systems with anomalous diffusive behavior
• Universality and non-universality of mobility in heterogeneous single-file systems and Rouse chains
• An anti-symmetric exclusion process for two particles on an infinite 1D lattice
• First-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems
• BetheSF: Efficient computation of the exact tagged-particle propagator in single-file systems via the Bethe eigenspectrum
• Inter-particle ratchet effect determines global current of heterogeneous particles diffusing in confinement
• Tracer particle diffusion in a system with hardcore interacting particles