caa a22 4500 467892172 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060601xx s 000 0 eng 10.1007/s10955-006-9081-3 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9081-3 Exact Dimensional Reduction of Linear Dynamics: Application to Confined Diffusion [Elektronische Daten] [Pavol Kalinay, Jerome Percus] In their stochastic versions, dynamical systems take the form of the linear dynamics of a probability distribution. We show that exact dimensional reduction of such systems can be carried out, and is physically relevant when the dimensions to be eliminated can be identified with those that represent transient behavior, disappearing under typical coarse graining. Application is made to non-uniform quasi-low dimensional diffusion, resulting in a systematic extension of the "classical” Fick-Jacobs approximate reduction to an exact subdynamics. Springer Science + Business Media, Inc., 2006 diffusion nationallicence Fick-Jacobs equation nationallicence dimensional reduction nationallicence mapping nationallicence Kalinay Pavol Courant Institute of Mathematical Sciences, New York University, 10012, New York, NY, USA aut Percus Jerome Courant Institute of Mathematical Sciences, New York University, 10012, New York, NY, USA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/5(2006-06-01), 1059-1069 0022-4715 123:5<1059 2006 123 10955 https://doi.org/10.1007/s10955-006-9081-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9081-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kalinay Pavol Courant Institute of Mathematical Sciences, New York University, 10012, New York, NY, USA aut NATIONALLICENCE 700 1- Percus Jerome Courant Institute of Mathematical Sciences, New York University, 10012, New York, NY, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/5(2006-06-01), 1059-1069 0022-4715 123:5<1059 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer