Statistical Mechanics Of Membranes And Surfaces: 2nd EditionDavid Nelson, Tsvi Piran, Steven Weinberg World Scientific, 2004/06/14 - 444 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
| 1 | |
Fluctuations Interactions and Related Transitions Michael E Fisher | 19 |
Chapter 3 Equilibrium Statistical Mechanics of Fluctuating Films and Membranes Stanislas Leibler | 49 |
Chapter 4 The Physics of Microemulsions and Amphiphilic Monolayers David Andelman | 103 |
Chapter 5 Properties of Tethered Surfaces Yacov Kantor | 111 |
Chapter 6 Theory of the Crumpling Transition David R Nelson | 131 |
Chapter 7 Geometry and Field Theory of Random Surfaces and Membranes Francois David | 149 |
Chapter 8 Statistical Mechanics of SelfAvoiding Crumpled Manifolds Part I Bertrand Duplantier | 211 |
Chapter 9 Statistical Mechanics of SelfAvoiding Crumpled Manifolds Part II Bertrand Duplantier | 245 |
Chapter 10 Anisotropic and Heterogeneous Polymerized Membranes Leo Radzihovsky | 275 |
Chapter 11 FixedConnectivity Membranes Mark J Bowick | 323 |
Chapter 12 TriangulatedSurface Models of Fluctuating Membranes G Gompper and DM Kroll | 359 |
多く使われている語句
amphiphilic anisotropic behavior bending energy bending rigidity bilayer boundary calculation 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 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 lattice Leibler length Lett linear lipid 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 statistical mechanics surface tension temperature tensor term tethered surfaces topology tubule two-dimensional vector vesicles