%0 Journal Article %1 1742-5468-2006-02-P02004 %A Hurtado, P I %A Marro, J %A Garrido, P L %D 2006 %J Journal of Statistical Mechanics: Theory and Experiment %K modeling scaling models physics citingme imported %N 02 %P P02004 %T Understanding scale invariance in a minimal model of complex relaxation phenomena %U http://stacks.iop.org/1742-5468/2006/P02004 %V 2006 %X We report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i. e., the model evolution is discontinuous and displays many scales in a way that closely resembles the relaxation in a large number of complex systems in nature. Such apparent scale invariance simply results in the model from summing over many exponential relaxations, each with a scale which is determined by the curvature of the domain wall at which the avalanche originates. The claim that scale invariance in a nonequilibrium setting is to be associated with criticality is therefore not supported. Some hints that may help in checking this experimentally are discussed.

@article{1742-5468-2006-02-P02004, abstract = {We report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i. e., the model evolution is discontinuous and displays many scales in a way that closely resembles the relaxation in a large number of complex systems in nature. Such apparent scale invariance simply results in the model from summing over many exponential relaxations, each with a scale which is determined by the curvature of the domain wall at which the avalanche originates. The claim that scale invariance in a nonequilibrium setting is to be associated with criticality is therefore not supported. Some hints that may help in checking this experimentally are discussed.}, added-at = {2007-02-23T15:33:22.000+0100}, author = {Hurtado, P I and Marro, J and Garrido, P L}, biburl = {https://www.bibsonomy.org/bibtex/2483235201d73b2181ea4e305cb7092f4/andreab}, interhash = {7b99bd7e250bc99ecf56ecc91cda1549}, intrahash = {483235201d73b2181ea4e305cb7092f4}, journal = {Journal of Statistical Mechanics: Theory and Experiment}, keywords = {modeling scaling models physics citingme imported}, number = 02, pages = {P02004}, timestamp = {2007-02-23T15:33:22.000+0100}, title = {Understanding scale invariance in a minimal model of complex relaxation phenomena}, url = {http://stacks.iop.org/1742-5468/2006/P02004}, volume = 2006, year = 2006 }