The symbiotic contact process: phase transitions, hysteresis cycles, and bistability
Phys. Rev. E 98, 062108 (2018) We performed Monte Carlo simulations of the symbiotic contact process on different spatial dimensions ($d$). On the complete and random graphs (infinite dimension), we observe hysteresis cycles and bistable regions, what is consistent with the discontinuous absorbing-s...
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| creator | Filho, C. I. N. Sampaio Santos, T. B. dos Araújo, N. A. M Carmona, H. A Moreira, A. A AndradeJr, J. S |
| description | Phys. Rev. E 98, 062108 (2018) We performed Monte Carlo simulations of the symbiotic contact process on
different spatial dimensions ($d$). On the complete and random graphs (infinite
dimension), we observe hysteresis cycles and bistable regions, what is
consistent with the discontinuous absorbing-state phase transition predicted by
mean-field theory. By contrast, on a regular square lattice, we find no signs
of bistability or hysteretic behavior. This result suggests that the transition
in two dimensions is rather continuous. Based on our numerical observations, we
conjecture that the nature of the transition changes at the upper critical
dimension ($d_c$), from continuous ($dd_c$). |
| doi_str_mv | 10.48550/arxiv.1806.11167 |
| format | Article |
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different spatial dimensions ($d$). On the complete and random graphs (infinite
dimension), we observe hysteresis cycles and bistable regions, what is
consistent with the discontinuous absorbing-state phase transition predicted by
mean-field theory. By contrast, on a regular square lattice, we find no signs
of bistability or hysteretic behavior. This result suggests that the transition
in two dimensions is rather continuous. Based on our numerical observations, we
conjecture that the nature of the transition changes at the upper critical
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different spatial dimensions ($d$). On the complete and random graphs (infinite
dimension), we observe hysteresis cycles and bistable regions, what is
consistent with the discontinuous absorbing-state phase transition predicted by
mean-field theory. By contrast, on a regular square lattice, we find no signs
of bistability or hysteretic behavior. This result suggests that the transition
in two dimensions is rather continuous. Based on our numerical observations, we
conjecture that the nature of the transition changes at the upper critical
dimension ($d_c$), from continuous ($d<d_c$) to discontinuous ($d>d_c$).</description><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFjj0KwkAQRrexEPUAVs4BNGbRxGArigdIHybrSAaS3bAziHt7f7C3evDx4HvGLG2e7auiyLcYn_zIbJWXmbW2PExNXXcEkoaWg7IDF7yiUxhjcCRyhLFDIdCIXlg5eFlDl0QpkrCAS66n94T-Bi2LYss9a5qbyR17ocWPM7O6nOvTdfP9b8bIA8bUfDqab8fuv_ECdno-7g</recordid><startdate>20180628</startdate><enddate>20180628</enddate><creator>Filho, C. I. N. Sampaio</creator><creator>Santos, T. B. dos</creator><creator>Araújo, N. A. M</creator><creator>Carmona, H. A</creator><creator>Moreira, A. A</creator><creator>AndradeJr, J. S</creator><scope>GOX</scope></search><sort><creationdate>20180628</creationdate><title>The symbiotic contact process: phase transitions, hysteresis cycles, and bistability</title><author>Filho, C. I. N. Sampaio ; Santos, T. B. dos ; Araújo, N. A. M ; Carmona, H. A ; Moreira, A. A ; AndradeJr, J. S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_1806_111673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Filho, C. I. N. Sampaio</creatorcontrib><creatorcontrib>Santos, T. B. dos</creatorcontrib><creatorcontrib>Araújo, N. A. M</creatorcontrib><creatorcontrib>Carmona, H. A</creatorcontrib><creatorcontrib>Moreira, A. A</creatorcontrib><creatorcontrib>AndradeJr, J. S</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Filho, C. I. N. Sampaio</au><au>Santos, T. B. dos</au><au>Araújo, N. A. M</au><au>Carmona, H. A</au><au>Moreira, A. A</au><au>AndradeJr, J. S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The symbiotic contact process: phase transitions, hysteresis cycles, and bistability</atitle><date>2018-06-28</date><risdate>2018</risdate><abstract>Phys. Rev. E 98, 062108 (2018) We performed Monte Carlo simulations of the symbiotic contact process on
different spatial dimensions ($d$). On the complete and random graphs (infinite
dimension), we observe hysteresis cycles and bistable regions, what is
consistent with the discontinuous absorbing-state phase transition predicted by
mean-field theory. By contrast, on a regular square lattice, we find no signs
of bistability or hysteretic behavior. This result suggests that the transition
in two dimensions is rather continuous. Based on our numerical observations, we
conjecture that the nature of the transition changes at the upper critical
dimension ($d_c$), from continuous ($d<d_c$) to discontinuous ($d>d_c$).</abstract><doi>10.48550/arxiv.1806.11167</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Statistical Mechanics |
| title | The symbiotic contact process: phase transitions, hysteresis cycles, and bistability |
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