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11 Result(s)
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M. F. Thorpe
Physics
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Book
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Book
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Book
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Chapter
Rigidity and Self-Organization of Network Glasses and the Intermediate Phase
In these lectures, we discuss continuous random network models for glasses and their mechanical properties. We show how model systems can help us better understand glasses via rigidity percolation. These ideas...
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Chapter
Size-Mismatch Melting in Two Dimensions
Two dimensional systems present structural properties that differ markedly from those of three dimensional systems. It has been known for a long time that at any nonzero temperature the long range positional o...
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Chapter
Size-Mismatch Effects in Alloys
In these lectures, we will discuss how to describe solid structures composed of atoms with different sizes. The concepts we will develop are quite general and have important implications in many areas of conde...
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Chapter and Conference Paper
Elastic Properties of Depleted Networks and Continua
Numerical simulations, effective medium theories and scaling arguments are used to examine the elastic properties of depleted networks and continua. The simplest model that embodies rotationally invariant forc...
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Chapter
Rigidity Percolation
We review the new concept of rigidity percolation and show that if local flexible units are joined together to form a network, the composite consists of floppy and rigid regions. When the rigid regions percolate,...
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Chapter and Conference Paper
Local Magnetic Field Distributions in Ising Models
We show that the statistical mechanics of Isi-ng models can be conveniently reformulated in terms of the local magnetic field probability-distribution function P(h). Analytic results are presented for the 2D s...
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Chapter
Magnetic Excitations
Spin waves (or magnons) are the elementary excitations in spin systems. In these lectures we will develop the basic theory of these excitations using both spin operators and Bose operators. During the last dec...
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Chapter
Phonons in Amorphous Solids
Lattice vibrations, or phonons, in crystalline solids have been studied since the beginning of the century1. Until about 15 years ago they were seen experimentally rather indirectly but since then, inelastic neut...
