%0 Book Section %1 statphys23_0109 %A Jain, K. %A Bouchet, F. %A Mukamel, D. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K dynamics equilibrium interactions long-range statphys23 topic-2 %T Relaxation times of unstable states in systems with long range interactions %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=109 %X We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field model and perturbed Hamiltonians with anisotropy and on-site potential are studied both analytically and numerically. We find that the initial zero magnetization state remains stable above a critical energy and is unstable below it. In the dynamically stable state, all of these models exhibit time scales that increase algebraically with the number of particles stressing the robustness of the quasistationary state. In the unstable state, the corresponding time scale depends logarithmically on $N$.

@incollection{statphys23_0109, abstract = {We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field model and perturbed Hamiltonians with anisotropy and on-site potential are studied both analytically and numerically. We find that the initial zero magnetization state remains stable above a critical energy and is unstable below it. In the dynamically stable state, all of these models exhibit time scales that increase algebraically with the number of particles stressing the robustness of the quasistationary state. In the unstable state, the corresponding time scale depends logarithmically on $N$.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Jain, K. and Bouchet, F. and Mukamel, D.}, biburl = {https://www.bibsonomy.org/bibtex/2691a614f2112ba5c39918072ce7cfb06/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {57837c7ae8012d73446bd354ea094a9b}, intrahash = {691a614f2112ba5c39918072ce7cfb06}, keywords = {dynamics equilibrium interactions long-range statphys23 topic-2}, month = {9-13 July}, timestamp = {2007-06-20T10:16:12.000+0200}, title = {Relaxation times of unstable states in systems with long range interactions}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=109}, year = 2007 }