Read e-book online Statistical Mechanics of Membranes and S: The 5th Jerusalem PDF

By David Nelson, Steven Weinberg, T Piran

ISBN-10: 9812387609

ISBN-13: 9789812387608

This necessary ebook explores the fragile interaction among geometry and statistical mechanics in fabrics equivalent to microemulsions, wetting and development interfaces, bulk lyotropic liquid crystals, chalcogenide glasses and sheet polymers, utilizing instruments from the fields of polymer physics, differential geometry, box thought and demanding phenomena. a number of chapters were up-to-date relative to the vintage 1989 variation. furthermore, there at the moment are 3 solely new chapters — on results of anisotropy and heterogeneity, on fastened connectivity membranes and on triangulated floor versions of fluctuating membranes.

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I. Halperin, and S. Leibler, Phys. Rev. Lett. 50, 1387 (1983); R. M. P. Zia, Phys. Rev. B27, 4499 (1983). 8. Y. Oono, Adv. Chem. Phys. 61, 301 (1985). 9. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, New York, 1979). 10. E. Evans and R. Skalak, Mechanics and Thermodynamics of Biomembranes (CRC Press, Boca Raton, 1980). 11. G. de Gennes and C. Taupin, J. Phys. Chem. 86, 2294 (1982). 12. Physics of Complex and Supermolecular Fluids, eds. A. A. Clark (John Wiley and Sons, New York, 1987).

3) At the same time the wetting layer thickness diverges as W (T ) ∼ (TcW − T )−ψ with ψ = ν⊥ = 1. 4) Correspondingly one finds ν|| = ν⊥ /ζ = 2 and thence sees that hyperscaling is valid since d ν|| = 2 − α. E. Fisher For > c or T > TcW there is no bound state. This corresponds to delocalization of the interface and complete wetting of the wall. The energy sticks at E0 = 0 so ∆Σ = 0. The specific heat thus undergoes a simple jump discontinuity at TcW . ) exact Ising model results. 1) to study the effects of direct wall forces decaying less rapidly with z or .

Fr¨ ohlich, in Applications of Field Theory to Statistical Mechanics, edited by L. Garido, Lecture Notes in Physics, Vol. 216 (Springer-Verlag, Berlin, 1985). 6. G. de Gennes, Rev. Mod. Phys. 57, 827 (1985). 7. E. I. Halperin, and S. Leibler, Phys. Rev. Lett. 50, 1387 (1983); R. M. P. Zia, Phys. Rev. B27, 4499 (1983). 8. Y. Oono, Adv. Chem. Phys. 61, 301 (1985). 9. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, New York, 1979). 10. E. Evans and R. Skalak, Mechanics and Thermodynamics of Biomembranes (CRC Press, Boca Raton, 1980).

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Statistical Mechanics of Membranes and S: The 5th Jerusalem Winter School for Theoretical Physics by David Nelson, Steven Weinberg, T Piran


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