Density dynamics from current auto-correlations at finite time- and length-scales Export

@article{citeulike:6012564, abstract = {We consider the increase of the spatial variance of some inhomogeneous, non-equilibrium density (particles, energy, etc.) in a periodic quantum system of condensed-matter type. This is done for a certain class of initial quantum states which is supported by static linear response and typicality arguments. We directly relate the broadening to some current auto-correlation function at finite times. Our result is not limited to diffusive behavior, however, in that case it yields a generalized Einstein relation. These findings facilitate the approximation of diffusion constants/conductivities on the basis of current auto-correlation functions at finite times for finite systems. Pursuing this, we quantitatively confirm the magnetization diffusion constant in a spin chain which was recently found from non-equilibrium bath scenarios.}, author = {Steinigeweg, R. and Wichterich, H. and Gemmer, J.}, citeulike-article-id = {6012564}, citeulike-linkout-0 = {http://dx.doi.org/10.1209/0295-5075/88/10004}, doi = {10.1209/0295-5075/88/10004}, journal = {EPL (Europhysics Letters)}, keywords = {density, dynamics, length\_scales, time\_scales}, number = {1}, pages = {10004+}, posted-at = {2009-10-26 20:30:37}, priority = {2}, title = {Density dynamics from current auto-correlations at finite time- and length-scales}, url = {http://dx.doi.org/10.1209/0295-5075/88/10004}, volume = {88}, year = {2009} }

TY - JOUR ID - citeulike:6012564 L3 - citeulike-article-id:6012564 N2 - We consider the increase of the spatial variance of some inhomogeneous, non-equilibrium density (particles, energy, etc.) in a periodic quantum system of condensed-matter type. This is done for a certain class of initial quantum states which is supported by static linear response and typicality arguments. We directly relate the broadening to some current auto-correlation function at finite times. Our result is not limited to diffusive behavior, however, in that case it yields a generalized Einstein relation. These findings facilitate the approximation of diffusion constants/conductivities on the basis of current auto-correlation functions at finite times for finite systems. Pursuing this, we quantitatively confirm the magnetization diffusion constant in a spin chain which was recently found from non-equilibrium bath scenarios. IS - 1 JF - EPL (Europhysics Letters) TI - Density dynamics from current auto-correlations at finite time- and length-scales VL - 88 SP - 10004 KW - density KW - dynamics KW - length_scales KW - time_scales AU - Steinigeweg, R AU - Wichterich, H AU - Gemmer, J PY - 2009/// UR - http://dx.doi.org/10.1209/0295-5075/88/10004 ER -