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Mejía-Monasterio, Carlos, Nechaev, Sergei, Oshanin, Gleb and Vasilyev, Oleg (2020). Tracer diffusion on a crowded random Manhattan lattice. "New Journal of Physics", v. 22 ; pp.. ISSN 1367-2630. https://doi.org/10.1088/1367-2630/ab7bf1.
Title: | Tracer diffusion on a crowded random Manhattan lattice |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | New Journal of Physics |
Date: | March 2020 |
ISSN: | 1367-2630 |
Volume: | 22 |
Subjects: | |
Freetext Keywords: | random Manhattan lattice; tracer diffusion; hard-core lattice gas; simple exclusion process; quenched versus dynamical disorder |
Faculty: | E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM) |
Department: | Ingeniería Agroforestal |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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We study by extensive numerical simulations the dynamics of a hard-core tracer particle (TP) in presence of two competing types of disorder -frozen convection flows on a square random Manhattan lattice and a crowded dynamical environment formed by a lattice gas of mobile hard-core particles. The latter perform lattice random walks, constrained by a single-occupancy condition of each lattice site, and are either insensitive to random flows (model A) or choose the jump directions as dictated by the local directionality of bonds of the random Manhattan lattice (model B). We focus on the TP disorder-averaged mean-squared displacement, (which shows a super-diffusive behaviour ∼t4/3, t being time, in all the cases studied here), on higher moments of the TP displacement, and on the probability distribution of the TP position X along the x-axis. Our analysis evidences that in absence of the lattice gas particles the latter has a Gaussian central part ∼exp(−u2), where u=X/t2/3, and exhibits slower-than-Gaussian tails ∼exp(−|u|4/3) for sufficiently large t and u. Numerical data convincingly demonstrate that in presence of a crowded environment the central Gaussian part and non-Gaussian tails of the distribution persist for both models.
Item ID: | 64199 |
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DC Identifier: | https://oa.upm.es/64199/ |
OAI Identifier: | oai:oa.upm.es:64199 |
DOI: | 10.1088/1367-2630/ab7bf1 |
Official URL: | https://iopscience.iop.org/article/10.1088/1367-26... |
Deposited by: | Memoria Investigacion |
Deposited on: | 19 Oct 2020 07:21 |
Last Modified: | 19 Oct 2020 07:21 |