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Field name	Details
Dewey Class	621
Title	Statistical Thermodynamics and Differential Geometry of Microstructured Materials ([EBook] /) / edited by H. Ted Davis, Johannes C. C. Nitsche.
Added Personal Name	Davis, H. Ted editor.
Added Personal Name	Nitsche, Johannes C. C. editor.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1993.
Physical Details	XV, 172 p. : online resource.
Series	The IMA volumes in mathematics and its applications 0940-6573 ; ; 51
ISBN	9781461383246
Summary Note	Substances possessing heterogeneous microstructure on the nanometer and micron scales are scientifically fascinating and technologically useful. Examples of such substances include liquid crystals, microemulsions, biological matter, polymer mixtures and composites, vycor glasses, and zeolites. In this volume, an interdisciplinary group of researchers report their developments in this field. Topics include statistical mechanical free energy theories which predict the appearance of various microstructures, the topological and geometrical methods needed for a mathematical description of the subparts and dividing surfaces of heterogeneous materials, and modern computer-aided mathematical models and graphics for effective exposition of the salient features of microstructured materials.:
Contents note	The geometric calculus of variations and modelling natural phenomena -- Hyperbolic statistical analysis -- A crystallographic approach to 3-periodic minimal surfaces -- The conformation of fluid vesicles -- Harmonic maps for bumpy metrics -- Periodic surfaces that are extremal for energy functionals containing curvature functions -- The least gradient method for computing area-minimizing hypersurfaces -- Modelling of homogeneous sinters and some generalizations of plateau’s problem -- A generalization of a theorem of Delaunay on constant mean curvature surfaces -- Willmore surfaces and computers -- Difference versus Gaussian curvature energies; monolayer versus bilayer curvature energies; applications to vesicle stability.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-8324-6
Links to Related Works	Subject References: Differential Geometry . Dynamical Systems . Physics . Statistical Physics . Statistical Physics, Dynamical Systems and Complexity . Thermodynamics . Authors: Davis, H. Ted . Nitsche, Johannes C. C. . Corporate Authors: SpringerLink (Online service) . Series: The IMA volumes in mathematics and its applications . Classification: 621 .

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Statistical Thermodynamics and Differential Geometry of Microstructured Materials

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