Spatial structures in dissipative systems Export

@article{citeulike:701166, abstract = {A one-dimensional system which exhibits a chemical instability with respect to free diffusion is analyzed numerically. Below a critical size the homogeneous state is stable. Above this size a succession of inhomogeneous states appear, each one stable over a range of values for the dimension of the system. A plot of the rate of entropy production for the system versus the dimension of the system is monotone increasing but with a change in slope at the appearance of the first inhomogeneous steady state. Transitions between inhomogeneous steady states result in a step increase in the rate of entropy production. At least one additional series of steady states is stable for the system. The results are used to present a model for a chemical signal to initiate cell division. \©1974 American Institute of Physics}, author = {Hanson, M. P.}, citeulike-article-id = {701166}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JCPSA6000060000008003210000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?JCP/60/3210}, citeulike-linkout-2 = {http://dx.doi.org/10.1063/1.1681509}, doi = {10.1063/1.1681509}, journal = {The Journal of Chemical Physics}, keywords = {reactiondiffusion}, number = {8}, pages = {3210--3214}, posted-at = {2006-06-19 15:26:16}, priority = {4}, publisher = {AIP}, title = {Spatial structures in dissipative systems}, url = {http://dx.doi.org/10.1063/1.1681509}, volume = {60}, year = {1974} }

TY - JOUR ID - citeulike:701166 L3 - citeulike-article-id:701166 N2 - A one-dimensional system which exhibits a chemical instability with respect to free diffusion is analyzed numerically. Below a critical size the homogeneous state is stable. Above this size a succession of inhomogeneous states appear, each one stable over a range of values for the dimension of the system. A plot of the rate of entropy production for the system versus the dimension of the system is monotone increasing but with a change in slope at the appearance of the first inhomogeneous steady state. Transitions between inhomogeneous steady states result in a step increase in the rate of entropy production. At least one additional series of steady states is stable for the system. The results are used to present a model for a chemical signal to initiate cell division. ©1974 American Institute of Physics IS - 8 JF - The Journal of Chemical Physics EP - 3214 TI - Spatial structures in dissipative systems PB - AIP VL - 60 SP - 3210 KW - reactiondiffusion AU - Hanson, MP PY - 1974/// UR - http://dx.doi.org/10.1063/1.1681509 ER -