Critical energy density ofO(n) models ind= 3

Critical Strain Energy Density from Tensile Specimens

Fracture has always been a serious concern in the design and repair of steel structures such as ships. Because of these concerns, much research has been ongoing in the causes of fractures and in ways which they could be predicted and thus prevented. The objective of this study was to flnd, test and evaluate a method for measuring tht:: critical strain energy density with tensile specimens. Plas...

Pursuing parameters for critical-density dark matter models

We present an extensive comparison of models of structure formation with observations, based on linear and quasi-linear theory. We assume a critical matter density, and study both cold dark matter models and cold plus hot dark matter models. We explore a wide range of parameters, by varying the fraction of hot dark matter Ων , the Hubble parameter h and the spectral index of density perturbatio...

Derrida's Generalized Random Energy models 3: Models with continuous hierarchies.

Energy Density and Pressure in Power-wall Models

A finite ultraviolet cutoff near a reflecting boundary yields a stress tensor that violates the basic energy-pressure relation. Therefore, a " soft " wall described by a power-law potential , which needs no ad hoc cutoff, is being investigated by the collaboration centered at Texas A&M University and the University of Oklahoma. Progress is reported here. 1.1. Basic formalism and empty space We ...

Density of Critical Factorizations

We investigate the density of critical factorizations of infinte sequences of words. The density of critical factorizations of a word is the ratio between the number of positions that permit a critical factorization, and the number of all positions of a word. We give a short proof of the Critical Factorization Theorem and show that the maximal number of noncritical positions of a word between t...