Ising Model and Self-Avoiding Walks on Hypercubical Lattices and "High-Density" Expansions

1964 ◽  
Vol 133 (1A) ◽  
pp. A224-A239 ◽  
Author(s):  
Michael E. Fisher ◽  
David S. Gaunt
Keyword(s):  
Ising Model ◽  
High Density ◽  
Density Expansions ◽  
Self Avoiding Walks

scholarly journals Ising model in the high density limit

1974 ◽  
Vol 36 (4) ◽  
pp. 255-262 ◽  
Author(s):  
Colin J. Thompson
Keyword(s):  
Ising Model ◽  
High Density ◽  
Density Limit

The Arena of Conformal Models

2020 ◽  
pp. 518-542
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Statistical Models ◽  
Statistical Physics ◽  
The Self ◽  
Minimal Models ◽  
Lee Model ◽  
Geometric Type ◽  
Structure Constants ◽  
Self Avoiding Walks ◽  
Conformal Models

Chapter 14 discusses how the identification of a class of universality is one of the central questions needing an answer for those in the field of statistical physics. This chapter discusses in detail the class of universality of several models, and provides examples that include the Ising model, the tricritical Ising model and its structure constants, the Yang–Lee model and the 3-state Potts model. This chapter also covers the study of the statistical models of geometric type (as, for instance, those that describe the self-avoiding walks) and their formulation in terms of conformal minimal models, including conformal models with O(n) symmetry.

scholarly journals Addressing the determinants of built-up expansion and densification processes at the regional scale

Urban Studies ◽  
2018 ◽  
Vol 55 (15) ◽  
pp. 3279-3298 ◽  
Author(s):  
Ahmed Mustafa ◽  
Anton Van Rompaey ◽  
Mario Cools ◽  
Ismaïl Saadi ◽  
Jacques Teller
Keyword(s):  
Multinomial Logistic Regression ◽  
Regional Scale ◽  
Controlling Factors ◽  
High Density ◽  
Low Density ◽  
Political Factors ◽  
Infill Development ◽  
Development Policies ◽  
Different Types ◽  
Density Expansions

An in-depth understanding of the main factors behind built-up development is a key prerequisite for designing policies dedicated to a more efficient land use. Infill development policies are essential to curb sprawl and allow a progressive recycling of low-density areas inherited from the past. This paper examines the controlling factors of built-up expansion and densification processes in Wallonia (Belgium). Unlike the usual urban/built-up expansion studies, our approach considers various levels of built-up densities to distinguish between different types of developments, ranging from low-density extensions (or sprawl) to high-density infill development. Belgian cadastral data for 1990, 2000 and 2010 were used to generate four classes of built-up areas, namely, non-, low-, medium- and high-density areas. A number of socioeconomic, geographic and political factors related to built-up development were operationalised following the literature. We then used a multinomial logistic regression model to analyse the effects of these factors on the transitions between different densities in the two decades between 1990 and 2010. The findings indicate that all the controlling factors show distinctive variations based on density. More specifically, the centrality of zoning policies in explaining expansion processes is highlighted. This is especially the case for high-density expansions. In contrast, physical and neighbourhood factors play a larger role in infill development, especially for dense infill development.

High-density expansions of the relativistic Thomas-Fermi equation

1989 ◽  
Vol 40 (5) ◽  
pp. 2731-2737 ◽  
Author(s):  
Y. C. Leung ◽  
Shou-yong Pei
Keyword(s):  
High Density ◽  
Thomas Fermi ◽  
Density Expansions

Virial and high-density expansions for the Lee-Yang lattice gas

2016 ◽  
Vol 94 (1) ◽  
Author(s):  
M. V. Ushcats ◽  
L. A. Bulavin ◽  
V. M. Sysoev ◽  
S. J. Ushcats
Keyword(s):  
Lattice Gas ◽  
High Density ◽  
Density Expansions
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