Critical Behavior of the Stochastic SIR Model on Random Bond-Diluted Lattices
In this paper, we investigate the impact of bond-dilution disorder on the critical behavior of the stochastic SIR model. Monte Carlo simulations were conducted using square lattices with first- and second-nearest neighbor interactions. Quenched bond-diluted lattice disorder was introduced into the s...
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| Veröffentlicht in: | Journal of statistical physics 2024-06, Vol.191 (6), Article 77 |
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| creator | Ferraz, Carlos Handrey A. Lima, José Luiz S. |
| description | In this paper, we investigate the impact of bond-dilution disorder on the critical behavior of the stochastic SIR model. Monte Carlo simulations were conducted using square lattices with first- and second-nearest neighbor interactions. Quenched bond-diluted lattice disorder was introduced into the systems, allowing them to evolve over time. By employing percolation theory and finite-size scaling analysis, we estimate both the critical threshold and leading critical exponent ratios of the model for different bond-dilution rates (
p
). An examination of the average size of the percolating cluster and the size distribution of non-percolating clusters of recovered individuals was performed to ascertain the universality class of the model. The simulation results strongly indicate that the present model belongs to a new universality class distinct from that of 2D dynamical percolation, depending on the specific
p
value under consideration. |
| doi_str_mv | 10.1007/s10955-024-03295-8 |
| format | Article |
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p
). An examination of the average size of the percolating cluster and the size distribution of non-percolating clusters of recovered individuals was performed to ascertain the universality class of the model. The simulation results strongly indicate that the present model belongs to a new universality class distinct from that of 2D dynamical percolation, depending on the specific
p
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p
). An examination of the average size of the percolating cluster and the size distribution of non-percolating clusters of recovered individuals was performed to ascertain the universality class of the model. The simulation results strongly indicate that the present model belongs to a new universality class distinct from that of 2D dynamical percolation, depending on the specific
p
value under consideration.</description><subject>Dilution</subject><subject>Lattices</subject><subject>Mathematical and Computational Physics</subject><subject>Monte Carlo simulation</subject><subject>Percolation theory</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Size distribution</subject><subject>Statistical Physics and Dynamical Systems</subject><subject>Theoretical</subject><issn>1572-9613</issn><issn>0022-4715</issn><issn>1572-9613</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kE9LAzEQxYMoWKtfwFPAc3SSbDabo63_Ci1Cq-eQ7iZ2y3ajSSr47Y2uoCdPMzC_9x7zEDqncEkB5FWkoIQgwAoCnClBqgM0okIyokrKD__sx-gkxi0AqEqJEVpMQ5va2nR4YjfmvfUBe4fTxuJV8vXGxHzEq9kSL3xjO-x7vDR943d44vuG3LTdPtkGz03KnI2n6MiZLtqznzlGz3e3T9MHMn-8n02v56RmAIkYq2TFKuYYa8CBZE5JVpTCNNxWRaEcE9yJNV3nf0ztJLOWF0aBgpKqcs35GF0Mvq_Bv-1tTHrr96HPkZqDLJkUZVlkig1UHXyMwTr9GtqdCR-agv6qTQ-16Ryjv2vTVRbxQRQz3L_Y8Gv9j-oTphVt7A</recordid><startdate>20240624</startdate><enddate>20240624</enddate><creator>Ferraz, Carlos Handrey A.</creator><creator>Lima, José Luiz S.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-6737-1015</orcidid></search><sort><creationdate>20240624</creationdate><title>Critical Behavior of the Stochastic SIR Model on Random Bond-Diluted Lattices</title><author>Ferraz, Carlos Handrey A. ; Lima, José Luiz S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-ae978282f22d0f072f972465ad3e8449f253f5b1b024acf72ee34a90906196b33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Dilution</topic><topic>Lattices</topic><topic>Mathematical and Computational Physics</topic><topic>Monte Carlo simulation</topic><topic>Percolation theory</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Size distribution</topic><topic>Statistical Physics and Dynamical Systems</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ferraz, Carlos Handrey A.</creatorcontrib><creatorcontrib>Lima, José Luiz S.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of statistical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ferraz, Carlos Handrey A.</au><au>Lima, José Luiz S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Critical Behavior of the Stochastic SIR Model on Random Bond-Diluted Lattices</atitle><jtitle>Journal of statistical physics</jtitle><stitle>J Stat Phys</stitle><date>2024-06-24</date><risdate>2024</risdate><volume>191</volume><issue>6</issue><artnum>77</artnum><issn>1572-9613</issn><issn>0022-4715</issn><eissn>1572-9613</eissn><abstract>In this paper, we investigate the impact of bond-dilution disorder on the critical behavior of the stochastic SIR model. Monte Carlo simulations were conducted using square lattices with first- and second-nearest neighbor interactions. Quenched bond-diluted lattice disorder was introduced into the systems, allowing them to evolve over time. By employing percolation theory and finite-size scaling analysis, we estimate both the critical threshold and leading critical exponent ratios of the model for different bond-dilution rates (
p
). An examination of the average size of the percolating cluster and the size distribution of non-percolating clusters of recovered individuals was performed to ascertain the universality class of the model. The simulation results strongly indicate that the present model belongs to a new universality class distinct from that of 2D dynamical percolation, depending on the specific
p
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| subjects | Dilution Lattices Mathematical and Computational Physics Monte Carlo simulation Percolation theory Physical Chemistry Physics Physics and Astronomy Quantum Physics Size distribution Statistical Physics and Dynamical Systems Theoretical |
| title | Critical Behavior of the Stochastic SIR Model on Random Bond-Diluted Lattices |
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