Statistical Mechanics of Membranes and SurfacesWorld Scientific, 2004 - 426 ページ 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. |
目次
The Statistical Mechanics of Membranes and Interfaces | 1 |
Fluctuations Interactions and Related Transitions | 19 |
Fluctuations and Steric Repulsions | 26 |
Critical Wetting and Renormalization Groups for Interfaces | 36 |
Chapter 3 | 49 |
The Role of Thermal Fluctuations in the Behavior | 66 |
Unbinding Transitions and the Swelling of Lamellar Phases | 78 |
5 | 85 |
Perturbation Expansion | 218 |
Direct Renormalization | 228 |
On the Nonuniversality of Exponent Y | 238 |
Conclusion | 241 |
Manifold Model with Local Interaction | 248 |
SelfAvoiding Manifolds and Edwards Models | 260 |
Anisotropic and Heterogeneous Polymerized Membranes | 275 |
Random Heterogeneity in Polymerized Membranes | 303 |
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 |
Crystalline Membranes | 204 |
Statistical Mechanics of SelfAvoiding Crumpled | 211 |
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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多く使われている語句
amphiphilic anisotropic behavior bending energy bending rigidity bilayer boundary Bowick calculation cell Chem configuration constant coordinates correlation corresponding critical critical exponents crumpled phase crumpling transition curvature D-dimensional D. R. Nelson described dimension disclinations dislocations distance diverges effective elastic embedding Europhys exponent field theory finite fixed point flat phase fluid membranes free energy Gaussian Gaussian curvature Gompper and Kroll Guitter Hamiltonian hexatic in-plane integral interaction interface Kantor Kardar lamellar lattice Leibler length Lett linear lipid Lipowsky Lubensky manifold mean field theory mean-field metric microemulsions modulus molecules nonlinearities order parameter partition function perturbation phantom phase diagram phase transitions phonon Phys physical polymer polymerized membranes potential quenched disorder radius random renormalization group result scaling self-avoiding simulations space spherical statistical mechanics surface tension temperature tensor term tethered surfaces thermal fluctuations topology tubule two-dimensional vector vesicles