Privman, V.
Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties [electronic resource] / by V. Privman, N. M. Švrakić. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1989. - VI, 122 p. online resource. - Lecture Notes in Physics, 338 0075-8450 ; . - Lecture Notes in Physics, 338 .
Directed walk models of polymer conformations -- Line interfaces in two dimensions: Solid-on-solid models -- Polymers at surfaces -- Models of stacks and compact clusters -- Summary.
This monograph gives a detailed introductory exposition of research results for various models, mostly two-dimensional, of directed walks, interfaces, wetting, surface adsorption (of polymers), stacks, compact clusters (lattice animals), etc. The unifying feature of these models is that in most cases they can be solved analytically. The methods used include transfer matrices, generating functions, recurrence relations, and difference equations, and in some cases involve utilization of less familiar mathematical techniques such as continued fractions and q-series. The authors emphasize an overall view of what can be learned generally of the statistical mechanics of anisotropic systems, including phenomena near surfaces, by studying the solvable models. Thus, the concept of scaling and, where known, finite-size scaling properties are elucidated. Scaling and statistical mechanics of anisoptropic systems in general are active research topics. The volume provides a comprehensive survey of exact model results in this field.
9783540481201
10.1007/BFb0016702 doi
Chemistry.
Chemistry, Physical organic.
Polymers.
Statistical physics.
Thermodynamics.
Plasma (Ionized gases).
Chemistry.
Physical Chemistry.
Thermodynamics.
Statistical Physics.
Atoms, Molecules, Clusters and Plasmas.
Polymer Sciences.
QD450-882
541
Directed Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties [electronic resource] / by V. Privman, N. M. Švrakić. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1989. - VI, 122 p. online resource. - Lecture Notes in Physics, 338 0075-8450 ; . - Lecture Notes in Physics, 338 .
Directed walk models of polymer conformations -- Line interfaces in two dimensions: Solid-on-solid models -- Polymers at surfaces -- Models of stacks and compact clusters -- Summary.
This monograph gives a detailed introductory exposition of research results for various models, mostly two-dimensional, of directed walks, interfaces, wetting, surface adsorption (of polymers), stacks, compact clusters (lattice animals), etc. The unifying feature of these models is that in most cases they can be solved analytically. The methods used include transfer matrices, generating functions, recurrence relations, and difference equations, and in some cases involve utilization of less familiar mathematical techniques such as continued fractions and q-series. The authors emphasize an overall view of what can be learned generally of the statistical mechanics of anisotropic systems, including phenomena near surfaces, by studying the solvable models. Thus, the concept of scaling and, where known, finite-size scaling properties are elucidated. Scaling and statistical mechanics of anisoptropic systems in general are active research topics. The volume provides a comprehensive survey of exact model results in this field.
9783540481201
10.1007/BFb0016702 doi
Chemistry.
Chemistry, Physical organic.
Polymers.
Statistical physics.
Thermodynamics.
Plasma (Ionized gases).
Chemistry.
Physical Chemistry.
Thermodynamics.
Statistical Physics.
Atoms, Molecules, Clusters and Plasmas.
Polymer Sciences.
QD450-882
541