Ergodicity properties of energy conserving single spin flip dynamics in the XY model

Dhar, Abhishek

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/4505

Full metadata record

DC Field	Value	Language
dc.contributor.author	Dhar, Abhishek	-
dc.date.accessioned	2012-05-23T03:43:08Z	-
dc.date.available	2012-05-23T03:43:08Z	-
dc.date.issued	1998-12	-
dc.identifier.citation	Physica A, 1998, Vol.259, p119	en
dc.identifier.issn	0378-4371	-
dc.identifier.uri	http://hdl.handle.net/2289/4505	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.abstract	A single spin flip stochastic energy conserving dynamics for the XY model is considered. We study the ergodicity properties of the dynamics. It is shown that phase space trajectories densely fill the geometrically connected parts of the energy surface. We also show that while the dynamics is discrete and the phase point jumps around, it cannot make transitions between closed disconnected parts of the energy surface. Thus the number of distinct sectors depends on the number of geometrically disconnected parts of the energy surface. Information on the connectivity of the surfaces is obtained by studying the critical points of the energy function. We study in detail the case of two spins and find that the number of sectors can be either one or two, depending on the external fields and the energy. For a periodic lattice in d dimensions, we find regions in phase space where the dynamics is non-ergodic and obtain a lower bound on the number of disconnected sectors. We provide some numerical evidence which suggests that such regions might be of small measure so that the dynamics is effectively ergodic.	en
dc.language.iso	en	en
dc.publisher	Elsevier B. V.	en
dc.relation.uri	http://arxiv.org/abs/cond-mat/9804327	en
dc.relation.uri	http://dx.doi.org/10.1016/S0378-4371(98)00248-9	en
dc.relation.uri	http://adsabs.harvard.edu/abs/1998cond.mat..4327D	en
dc.rights	1998 Elsevier B.V.	en
dc.title	Ergodicity properties of energy conserving single spin flip dynamics in the XY model	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

Files in This Item:

File	Description	Size	Format
1998_PhysicaA_V259_p119.pdf Restricted Access	Restricted Access	288.64 kB	Adobe PDF	View/Open Request a copy

Show simple item record