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The energy correlation function follows the classical diffusion theory prediction, namely, it decays exponentially with q 2 t. In contrast, the spin correlation function is found to decay exponentially as q 2.12 t ln t implying a logarithmically divergent diffusion constant and the failure of the usual hydrodynamic assumptions."},{"label":"DOI","value":"10.1063/1.353682"},{"label":"Volume","value":"69"},{"label":"Issue","value":"2"},{"label":"Publication Date","value":"D:13 M:07 Y:1992"},{"label":"Publication Information","value":"Copyright 1992 American Physical Society. The original published version of this article may be found at http://dx.doi.org/10.1063/1.353682."}],"description":"Breakdown of Hydrodynamics in the Classical ID Heisenberg Model","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_1","@type":"sc:Canvas","label":"Breakdown of Hydrodynamics in the Classical ID Heisenberg Model-2","height":1653,"width":1278,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/af5078f2-3e4b-410d-bc64-de3bb5a38123/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/af5078f2-3e4b-410d-bc64-de3bb5a38123","profile":"http://iiif.io/api/image/2/level2.json","tiles":[{"width":512,"scaleFactors":[1,2,4]}]},"height":1653,"width":1278},"on":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_1","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/af5078f2-3e4b-410d-bc64-de3bb5a38123/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_2","@type":"sc:Canvas","label":"Breakdown of Hydrodynamics in the Classical ID Heisenberg Model-3","height":1655,"width":1282,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/42852c5e-6f9e-489f-9ff7-54ae997d725c/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/42852c5e-6f9e-489f-9ff7-54ae997d725c","profile":"http://iiif.io/api/image/2/level2.json"},"height":1655,"width":1282},"on":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_2","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/42852c5e-6f9e-489f-9ff7-54ae997d725c/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_3","@type":"sc:Canvas","label":"Breakdown of Hydrodynamics in the Classical ID Heisenberg Model-4","height":1651,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/c560f661-b57a-4e1f-9e04-ea9a7340c7e6/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/c560f661-b57a-4e1f-9e04-ea9a7340c7e6","profile":"http://iiif.io/api/image/2/level2.json"},"height":1651,"width":1275},"on":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_3","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/c560f661-b57a-4e1f-9e04-ea9a7340c7e6/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_4","@type":"sc:Canvas","label":"Breakdown of Hydrodynamics in the Classical ID Heisenberg Model-5","height":1651,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/59b72ec6-c66c-4230-ad32-d23bc408d2f7/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/59b72ec6-c66c-4230-ad32-d23bc408d2f7","profile":"http://iiif.io/api/image/2/level2.json"},"height":1651,"width":1275},"on":"https://iiif.quartexcollections.com/portland/iiif/47bc3e34-b64c-4383-b89b-636ca26a1d48/canvas/_4","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/59b72ec6-c66c-4230-ad32-d23bc408d2f7/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}}]}],"thumbnail":"https://iiif.quartexcollections.com/portland/iiif/af5078f2-3e4b-410d-bc64-de3bb5a38123/full/300,300/0/default.jpg","logo":"https://iiif.quartexcollections.com/portland/iiif/logo"}