|
![]() |
|||
|
||||
OverviewA theory of the equilibrium shape of crystal assuming minimal surface free energy was formulated at the beginning of the century by Wulff. Assuming that the anisotropic interfacial free energy (depending on the orientation of the interface with respect to the crystal axes) is known, the Wulff construction yields the shape of crystal in equilibrium and allows one to understand its main features. This research monograph considers the Wulff construction in the case of a two-dimensional Ising ferromagnet with periodic boundary conditions and at sufficiently low temperatures. Namely, the authors investigate the phenomenon of phase separation in a (small) canonical ensemble characterized by a fixed total spin in a finite volume. Its value is chosen to lie in the interval between the spontaneious magnetizations of pure phases. Heuristically, the main result can be stated this way: a droplet of one phase immersed in the opposite one will be formed with the separation line following with high accuracy the shape yielded by the Wulff construction. The book brings the reader through the entire development of the proof of this result. Full Product DetailsAuthor: R.L. Dobrushin , R. Kotecky , Senya ShlosmanPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 104 Weight: 0.592kg ISBN: 9780821845639ISBN 10: 0821845632 Pages: 204 Publication Date: 15 September 1992 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Temporarily unavailable ![]() The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction Extremal properties of the Wulff functional Limit theorems Surface tension Large contours Proof of the main results.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |