2023-12-11T08:16:33Z
https://oa.upm.es/cgi/oai2
oai:oa.upm.es:64199
2020-10-19T07:21:17Z
7374617475733D707562
7375626A656374733D666973696361
747970653D61727469636C65
Tracer diffusion on a crowded random Manhattan lattice
Mejía-Monasterio, Carlos
Nechaev, Sergei
Oshanin, Gleb
Vasilyev, Oleg
Physics
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.
E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM)
https://creativecommons.org/licenses/by-nc-nd/3.0/es/
2020-03
info:eu-repo/semantics/article
Article
New Journal of Physics, ISSN 1367-2630, 2020-03, Vol. 22
PeerReviewed
application/pdf
eng
https://iopscience.iop.org/article/10.1088/1367-2630/ab7bf1/pdf
info:eu-repo/grantAgreement/MINECO//PGC2018-099944-B-I00
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1088/1367-2630/ab7bf1
https://oa.upm.es/64199/