Self-limiting trajectories of a particle moving deterministically in a random medium

DOI10.1088/1751-8113/48/48/485203zbMath1335.82025arXiv1507.07133OpenAlexW2964205070MaRDI QIDQ3458732

E. G. D. Cohen, Benjamin Z. Webb

Publication date: 21 December 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07133

zbMATH Keywords

lattice gasdynamical transitionself avoiding walkperiodic dynamicsreflecting structure

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items

Equivalence of deterministic walks on regular lattices on the plane ⋮ Subdiffusion, anomalous diffusion and propagation of a particle moving in random and periodic media ⋮ Dynamics of a single particle moving on a random Lorentz lattice-gas ⋮ Multiparticle dynamics on the triangular lattice in interacting media ⋮ Dynamics of a particle moving in a two dimensional Lorentz lattice gas ⋮ Dynamics of a particle moving in one dimensional Lorentz lattice gas

Cites Work

• Deterministic walks in random environments
• The self-avoiding walk.
• Recurrence properties of Lorentz lattice gas cellular automata
• Scaling of particle trajectories on a lattice
• Rotators, periodicity, and absence of diffusion in cyclic cellular automata
• Propagation and organization in lattice random media
• New results for diffusion in Lorentz lattice gas cellular automata
• Diffusion in Lorentz lattice gas cellular automata: the honeycomb and quasi-lattices compared with the square and triangular lattices
• Self-avoiding modes of motion in a deterministic Lorentz lattice gas
• Convex polyominoes and heaps of segments

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