Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data

@article{citeulike:1648628, abstract = {We use a well-known model [T. Vicsek et al., Phys. Rev. Lett. 15, 1226 (1995)] for flocking, to test mutual information as a tool for detecting order-disorder transitions, in particular when observations of the system are limited. We show that mutual information is a sensitive indicator of the phase transition location in terms of the natural dimensionless parameters of the system which we have identified. When only a few particles are tracked and when only a subset of the positional and velocity components is available, mutual information provides a better measure of the phase transition location than the susceptibility of the data.}, author = {Wicks, R. T. and Chapman, S. C. and Dendy, R. O. }, citeulike-article-id = {1648628}, doi = {10.1103/PhysRevE.75.051125}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {agent, based}, number = {5}, posted-at = {2007-09-12 18:05:53}, priority = {2}, publisher = {APS}, title = {Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PLEEE8000075000005051125000001\&idtype=cvips\&gifs=yes}, volume = {75}, year = {2007} }

TY - JOUR ID - citeulike:1648628 L3 - citeulike-article-id:1648628 TI - Mutual information as a tool for identifying phase transitions in dynamical complex systems with limited data JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) VL - 75 IS - 5 PB - APS N2 - We use a well-known model [T. Vicsek et al., Phys. Rev. Lett. 15, 1226 (1995)] for flocking, to test mutual information as a tool for detecting order-disorder transitions, in particular when observations of the system are limited. We show that mutual information is a sensitive indicator of the phase transition location in terms of the natural dimensionless parameters of the system which we have identified. When only a few particles are tracked and when only a subset of the positional and velocity components is available, mutual information provides a better measure of the phase transition location than the susceptibility of the data. KW - agent KW - based AU - Wicks, RT AU - Chapman, SC AU - Dendy, RO PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000075000005051125000001&idtype=cvips&gifs=yes ER -