caa a22 4500 44539207X CHVBK 20180317143050.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10955-011-0143-9 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0143-9 Loss of Ergodicity in the Transition from Annealed toQuenched Disorder in a Finite Kinetic Ising Model [Elektronische Daten] [Fernando Pigeard de Almeida Prado, Gunter Schütz] We consider a kinetic Ising model which represents a generic agent-based model for various types of socio-economic systems. We study the case of a finite (and not necessarily large) number of agents N as well as the asymptotic case when the number of agents tends to infinity. The main ingredient are individual decision thresholds which are either fixed over time (corresponding to quenched disorder in the Ising model, leading to nonlinear deterministic dynamics which are generically non-ergodic) or which may change randomly over time (corresponding to annealed disorder, leading to ergodic dynamics). We address the question how increasing the strength of annealed disorder relative to quenched disorder drives the system from non-ergodic behavior to ergodicity. Mathematically rigorous analysis provides an explicit and detailed picture for arbitrary realizations of the quenched initial thresholds, revealing an intriguing "jumpy” transition from non-ergodicity with many absorbing sets to ergodicity. For large N we find a critical strength of annealed randomness, above which the system becomes asymptotically ergodic. Our theoretical results suggests how to drive a system from an undesired socio-economic equilibrium (e.g. high level of corruption) to a desirable one (low level of corruption). Springer Science+Business Media, LLC, 2011 Ising model nationallicence Agent-based model nationallicence Ergodicity nationallicence Annealed and quenched dynamics nationallicence Phase transition nationallicence Pigeard de Almeida Prado Fernando Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeiro Preto, Universidade de São Paulo, São Paulo, Brazil aut Schütz Gunter Institut für Festkörperforschung, Forschungszentrum Jülich, 52425, Jülich, Germany aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/5(2011-03-01), 984-999 0022-4715 142:5<984 2011 142 10955 https://doi.org/10.1007/s10955-011-0143-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0143-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pigeard de Almeida Prado Fernando Departamento de Computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeiro Preto, Universidade de São Paulo, São Paulo, Brazil aut NATIONALLICENCE 700 1- Schütz Gunter Institut für Festkörperforschung, Forschungszentrum Jülich, 52425, Jülich, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/5(2011-03-01), 984-999 0022-4715 142:5<984 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer