%0 Journal Article %1 Mata2015Lifespan %A Mata, Angélica S. %A Bogu\ ná, Marian %A Castellano, Claudio %A Pastor-Satorras, Romualdo %D 2015 %J Physical Review E %K lattice\_model critical-phenomena epidemic-models %N 5 %R 10.1103/physreve.91.052117 %T The lifespan method as a tool to study criticality in absorbing-state phase transitions %U http://dx.doi.org/10.1103/physreve.91.052117 %V 91 %X In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks Phys. Rev. Lett. 111, 068701 (2013). Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasi-stationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasi-stationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase transitions in regular lattices.

@article{Mata2015Lifespan, abstract = {In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [Phys. Rev. Lett. \textbf{111}, 068701 (2013)]. Here, we present a detailed analysis of the viability of this method for the study of the critical properties of generic absorbing-state phase transitions in lattices. Focusing on the well understood case of the contact process, we develop a finite-size scaling theory to measure the critical point and its associated critical exponents. We show the validity of the method by studying numerically the contact process on a one-dimensional lattice and comparing the findings of the lifespan method with the standard quasi-stationary method. We find that the lifespan method gives results that are perfectly compatible with those of quasi-stationary simulations and with analytical results. Our observations confirm that the lifespan method is a fully legitimate tool for the study of the critical properties of absorbing phase transitions in regular lattices.}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Mata, Ang\'{e}lica S. and Bogu\ {n}\'{a}, Marian and Castellano, Claudio and Pastor-Satorras, Romualdo}, biburl = {https://www.bibsonomy.org/bibtex/24650ffc689f6f5abdc31310aa8fe0741/nonancourt}, citeulike-article-id = {13443847}, citeulike-linkout-0 = {http://arxiv.org/abs/1411.5835}, citeulike-linkout-1 = {http://arxiv.org/pdf/1411.5835}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physreve.91.052117}, day = 27, doi = {10.1103/physreve.91.052117}, eprint = {1411.5835}, interhash = {8835d53a84517eaf2826a7f8a88d1314}, intrahash = {4650ffc689f6f5abdc31310aa8fe0741}, issn = {1539-3755}, journal = {Physical Review E}, keywords = {lattice\_model critical-phenomena epidemic-models}, month = apr, number = 5, posted-at = {2015-05-14 15:29:14}, priority = {2}, timestamp = {2019-07-31T12:34:57.000+0200}, title = {{The lifespan method as a tool to study criticality in absorbing-state phase transitions}}, url = {http://dx.doi.org/10.1103/physreve.91.052117}, volume = 91, year = 2015 }