Statistical Mechanics of Membranes and Surfaces

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World Scientific, 2004 - 426 ページ
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This invaluable book explores the delicate interplay between geometry and statistical mechanics in materials such as microemulsions, wetting and growth interfaces, bulk lyotropic liquid crystals, chalcogenide glasses and sheet polymers, using tools from the fields of polymer physics, differential geometry, field theory and critical phenomena. Several chapters have been updated relative to the classic 1989 edition. Moreover, there are now three entirely new chapters — on effects of anisotropy and heterogeneity, on fixed connectivity membranes and on triangulated surface models of fluctuating membranes.
 

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目次

The Statistical Mechanics of Membranes and Interfaces
1
Fluctuations Interactions and Related Transitions
19
z Fluctuations and Steric Repulsions
26
Critical Wetting and Renormalization Groups for Interfaces
36
Conclusion 241
39
Equilibrium Statistical Mechanics of Fluctuating
49
The Elastic Properties of Fluid Membranes and the Shapes
56
The Role of Thermal Fluctuations in the Behavior
66
Crystalline Membranes
204
Statistical Mechanics of SelfAvoiding Crumpled
Z-11
Perturbation Expansion 218
Z-18
Contact Exponents 233
Z-33
Statistical Mechanics of SelfAvoiding Crumpled
Z-45
SelfAvoiding Manifolds and Edwards Models 260
Z-60
Anisotropic and Heterogeneous Polymerized Membranes 275
Z-75
Random Heterogeneity in Polymerized Membranes
303

Fluid Membranes
73
Membranes with Internal Degrees of Freedom
88
The Physics of Microemulsions and Amphiphilic Monolayers
103
Properties of Tethered Surfaces
111
Excluded Volume Effects
120
Theory of the Crumpling Transition
131
Landau Theory of the Crumpling Transition
139
Geometry and Field Theory of Random Surfaces
149
Fields on Surfaces
170
NonPerturbative Issues and the Large d Limit
185
Effective Models for Fluid Membranes and Strings
194
Nematic Elastomer Membranes
314
FixedConnectivity Membranes
323
Poisson Ratio and Auxetics
338
Order on Curved Surfaces
346
References
353
TriangulatedSurface Models of Fluctuating Membranes
359
Fluid Membranes and Vesicles
381
Crystalline and Hexatic Membranes
399
Membranes of Fluctuating Topology
409
Summary and Outlook
420
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著者について (2004)

Piran is with The Hebrew University.

Born in New York City, Steven Weinberg was a high school and college classmate of Sheldon Glashow; both attended the Bronx High School of Science and Cornell University. Although Weinberg has made contributions as a theoretical physicist in cosmology, quantum scattering, and the quantum theory of gravitation, he is most widely known for his work with Sheldon Glashow and Abdus Salam, with whom he shared the 1979 Nobel Prize in physics. Weinberg received a share of this honor for his formulation of the theory that unifies the relationship between the weak force and the electromagnetic force, including the capability to predict the weak neutral current. After receiving a Ph.D. from Princeton University in 1957, Weinberg held postdoctoral positions at Columbia University from 1957 to 1959, the Lawrence Berkeley Laboratory from 1959 to 1960, the University of California at Berkeley from 1960 to 1966, Harvard University from 1966 to 1967, and the Massachusetts Institute of Technology from 1967 to 1969. He is married to a law professor, and they have one daughter.

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