%0 Journal Article %1 baldassarri:R20 %A Baldassarri, A. %A Bouchaud, J. P. %A Dornic, I. %A Godreche, C. %D 1999 %I APS %J Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) %K myown levy bdbg persistence 1999 pre %N 1 %P R20-R23 %T Statistics of persistent events: An exactly soluble model %U http://link.aps.org/abstract/PRE/v59/pR20 %V 59 %X It was recently realized that the persistence exponent appearing in the dynamics of nonequilibrium systems is a special member of a continuously varying family of exponents, describing generalized persistence properties. We propose and solve a simple stochastic spin model, where time intervals between spin flips are independent, and distributed according to a Lévy law. Both the limit distribution of the mean magnetization and the generalized persistence exponents are obtained exactly. We discuss the relevance of this model for phase ordering, spin glasses, and random walks.

@article{baldassarri:R20, abstract = {It was recently realized that the persistence exponent appearing in the dynamics of nonequilibrium systems is a special member of a continuously varying family of exponents, describing generalized persistence properties. We propose and solve a simple stochastic spin model, where time intervals between spin flips are independent, and distributed according to a Lévy law. Both the limit distribution of the mean magnetization and the generalized persistence exponents are obtained exactly. We discuss the relevance of this model for phase ordering, spin glasses, and random walks.}, added-at = {2006-10-17T19:22:08.000+0200}, author = {Baldassarri, A. and Bouchaud, J. P. and Dornic, I. and Godreche, C.}, biburl = {https://www.bibsonomy.org/bibtex/2712a6f9bc4c41679c04c706e08468198/andreab}, interhash = {9b2e8e2ee5dfa06363cd9d5b974a4797}, intrahash = {712a6f9bc4c41679c04c706e08468198}, journal = {Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics)}, keywords = {myown levy bdbg persistence 1999 pre}, number = 1, pages = {R20-R23}, publisher = {APS}, timestamp = {2006-10-17T19:22:08.000+0200}, title = {Statistics of persistent events: An exactly soluble model}, url = {http://link.aps.org/abstract/PRE/v59/pR20}, volume = 59, year = 1999 }