Phase transitions in Edwards–Anderson model by means of information theory Export

@article{citeulike:4874658, abstract = {A numeric method to characterize phase transitions is presented, explained and applied to a two-dimensional disordered system that can be thought of as a diluted ferromagnet or an Edwards–Anderson model near the ferromagnetic limit. A computer simulation is implemented to define a time series for order parameters; a file stores the time evolution of each parameter for different dilution concentrations and for a series of temperatures. These files are compressed and they reach a maximum size for temperatures in agreement with critical temperatures for the ferromagnetic/paramagnetic transition obtained by other methods. Site order parameter gives optimum results for this method based on data compression. Data compression procedures are invoked to give a qualitative explanation of this phenomenon. The advantages of this method are discussed by comparing results and procedures with two established methods: the crossing of Binder cumulants and the crossing of time autocorrelation functions. Other possible applications and extensions of this method are also mentioned.}, author = {Vogel, E. E. and Saravia, G. and Bachmann, F. and Fierro, B. and Fischer, Janine}, citeulike-article-id = {4874658}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.physa.2009.06.010}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0378437109004439}, doi = {10.1016/j.physa.2009.06.010}, issn = {03784371}, journal = {Physica A: Statistical Mechanics and its Applications}, keywords = {gzip, information-theory, spin-glasses}, month = {June}, posted-at = {2009-06-30 20:05:09}, priority = {2}, title = {Phase transitions in Edwards–Anderson model by means of information theory}, url = {http://dx.doi.org/10.1016/j.physa.2009.06.010}, year = {2009} }

TY - JOUR ID - citeulike:4874658 L3 - citeulike-article-id:4874658 N2 - A numeric method to characterize phase transitions is presented, explained and applied to a two-dimensional disordered system that can be thought of as a diluted ferromagnet or an Edwards–Anderson model near the ferromagnetic limit. A computer simulation is implemented to define a time series for order parameters; a file stores the time evolution of each parameter for different dilution concentrations and for a series of temperatures. These files are compressed and they reach a maximum size for temperatures in agreement with critical temperatures for the ferromagnetic/paramagnetic transition obtained by other methods. Site order parameter gives optimum results for this method based on data compression. Data compression procedures are invoked to give a qualitative explanation of this phenomenon. The advantages of this method are discussed by comparing results and procedures with two established methods: the crossing of Binder cumulants and the crossing of time autocorrelation functions. Other possible applications and extensions of this method are also mentioned. JF - Physica A: Statistical Mechanics and its Applications SN - 03784371 TI - Phase transitions in Edwards–Anderson model by means of information theory KW - gzip KW - information-theory KW - spin-glasses AU - Vogel, EE AU - Saravia, G AU - Bachmann, F AU - Fierro, B AU - Fischer, Janine PY - 2009/06/09/ UR - http://dx.doi.org/10.1016/j.physa.2009.06.010 ER -