Generic Absorbing Transition in Coevolution Dynamics Export

@article{Vazquez08, abstract = {We study a coevolution voter model on a complex network. A mean-field approximation reveals an absorbing transition from an active to a frozen phase at a critical value pc= that only depends on the average degree \µ of the network. In finite-size systems, the active and frozen phases correspond to a connected and a fragmented network, respectively. The transition can be seen as the sudden change in the trajectory of an equivalent random walk at the critical point, resulting in an approach to the final frozen state whose time scale diverges as \~{}|pc-p|-1 near pc.}, author = {Vazquez, Federico and Egu'{i}luz, V'{i}ctor M. and San Miguel, Maxi}, citeulike-article-id = {3016531}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000100000010108702000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v100/e108702}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.100.108702}, doi = {10.1103/PhysRevLett.100.108702}, issn = {0031-9007}, journal = {Physical Review Letters}, keywords = {networks\_adaptive}, month = {March}, number = {10}, pages = {108702+}, posted-at = {2008-07-18 07:45:09}, priority = {2}, publisher = {APS}, title = {Generic Absorbing Transition in Coevolution Dynamics}, url = {http://dx.doi.org/10.1103/PhysRevLett.100.108702}, volume = {100}, year = {2008} }

TY - JOUR ID - Vazquez08 L3 - citeulike-article-id:3016531 N2 - We study a coevolution voter model on a complex network. A mean-field approximation reveals an absorbing transition from an active to a frozen phase at a critical value pc= that only depends on the average degree µ of the network. In finite-size systems, the active and frozen phases correspond to a connected and a fragmented network, respectively. The transition can be seen as the sudden change in the trajectory of an equivalent random walk at the critical point, resulting in an approach to the final frozen state whose time scale diverges as ~|pc-p|-1 near pc. IS - 10 JF - Physical Review Letters SN - 0031-9007 TI - Generic Absorbing Transition in Coevolution Dynamics PB - APS VL - 100 SP - 108702 KW - networks_adaptive AU - Vazquez, Federico AU - Egu'{i}luz, V'{i}ctor AU - San Miguel, Maxi PY - 2008/03// UR - http://dx.doi.org/10.1103/PhysRevLett.100.108702 ER -