Effects of lattice dilution on the non-equilibrium phase transition in the stochastic susceptible-infectious-recovered model

Simple item page
dc.contributor.authorMukhamadiarov, Ruslan I.en
dc.contributor.authorTäuber, Uwe C.en
dc.date.accessioned2022-12-06T14:43:03Zen
dc.date.available2022-12-06T14:43:03Zen
dc.date.issued2022-09-01en
dc.date.updated2022-12-06T10:48:11Zen
dc.description.abstractWe investigate how site dilution, as would be introduced by immunization, affects the properties of the active-to-absorbing nonequilibrium phase transition in the paradigmatic susceptible-infectious-recovered (SIR) model on regular cubic lattices. According to the Harris criterion, the critical behavior of the SIR model, which is governed by the universal scaling exponents of the dynamic isotropic percolation (DyIP) universality class, should remain unaltered after introducing impurities. However, when the SIR reactions are simulated for immobile agents on two- and three-dimensional lattices subject to quenched disorder, we observe a wide crossover region characterized by varying effective exponents. Only after a sufficient increase of the lattice sizes does it become clear that the SIR system must transition from that crossover regime before the effective critical exponents asymptotically assume the expected DyIP values. We attribute the appearance of this exceedingly long crossover to a time lag in a complete recovery of small disconnected clusters of susceptible sites, which are apt to be generated when the system is prepared with Poisson-distributed quenched disorder. Finally, we demonstrate that this transient region becomes drastically diminished when we significantly increase the value of the recovery rate or enable diffusive agent mobility through short-range hopping.en
dc.description.versionAccepted versionen
dc.format.mimetypeapplication/pdfen
dc.identifier034132 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.106.034132en
dc.identifier.eissn2470-0053en
dc.identifier.issn2470-0045en
dc.identifier.issue3en
dc.identifier.orcidTauber, Uwe [0000-0001-7854-2254]en
dc.identifier.pmid36266833en
dc.identifier.urihttp://hdl.handle.net/10919/112799en
dc.identifier.volume106en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://www.ncbi.nlm.nih.gov/pubmed/36266833en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectImmunizationen
dc.titleEffects of lattice dilution on the non-equilibrium phase transition in the stochastic susceptible-infectious-recovered modelen
dc.title.serialPhysical Review Een
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.otherJournal Articleen
dcterms.dateAccepted2022-09-09en
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/Physicsen
pubs.organisational-group/Virginia Tech/Faculty of Health Sciencesen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
22_29_sircrt.pdf
Size:
1.01 MB
Format:
Adobe Portable Document Format
Description:
Accepted version
Download

Collections

All Faculty Deposits
Scholarly Works, Center for Soft Matter and Biological Physics
Scholarly Works, Physics