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Research Letters in Materials Science
Volume 2007, Article ID 71642, 4 pages
Research Letter

Soft-Material Dissipative Formation by a Kramers-Type Picture

Institute of Mathematics and Physics, University of Technology and Life Sciences, Bydgoszcz 85796, Poland

Received 17 July 2007; Accepted 5 November 2007

Academic Editor: Eldon Case

Copyright © 2007 Adam Gadomski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider a model soft-material formation in dimension d (a degree of freedom) undergoing an entropic drive, deeply rooted in first law of thermodynamics as well as in entropy production, namely, dissipation rate. It turns out that for such entropy-driven (dissipative) process, two strategies of making the formation orderly can be seen. In low-temperature limit, one may promote curvature-controlled, surface-tension involving scenario, usually characteristic of polycrystals and bubbles. In high-temperature limit, there can be a chance for creating order by establishing viscoelastic phase separation, promoting some microstress field's microrheological action that somehow renormalizes the system toward ordering. The latter, in turn, is very characteristic of protein and/or colloid network formations. This altogether implies that a disordering thermodynamic factor, such as the entropy can typically be, is able to effectively promote ordering by respective energy dissipation, in particular for soft-matter rearrangements and clusterings with weak interactions among the basic material's units, namely, “soft” grains.