The null field approach to two-dimensional elastostatics

1987 ◽  
Vol 43 (4) ◽  
pp. 293-313 ◽  
Author(s):  
Concha Bosch
Keyword(s):  
Two Dimensional ◽  
Field Approach ◽  
Null Field

FAILURE OF A MEAN-FIELD APPROACH FOR THE MILLER–HUSE PHASE TRANSITION

2000 ◽  
Vol 10 (01) ◽  
pp. 251-256 ◽  
Author(s):  
FRANCISCO SASTRE ◽  
GABRIEL PÉREZ
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Chaotic Maps ◽  
Initial Conditions ◽  
Mean Field ◽  
Region Of Interest ◽  
Universality Class ◽  
Two Dimensional ◽  
Field Approach

The diffusively coupled lattice of odd-symmetric chaotic maps introduced by Miller and Huse undergoes a continuous ordering phase transition, belonging to a universality class close but not identical to that of the two-dimensional Ising model. Here we consider a natural mean-field approach for this model, and find that it does not have a well-defined phase transition. We show how this is due to the coexistence of two attractors in its mean-field description, for the region of interest in the coupling. The behavior of the model in this limit then becomes dependent on initial conditions, as can be seen in direct simulations.

scholarly journals ON BARYON NUMBER NONCONSERVATION IN TWO-DIMENSIONAL O(2N+1) QCD

2010 ◽  
Vol 25 (06) ◽  
pp. 1253-1266
Author(s):  
TAMAR FRIEDMANN
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Matrix Models ◽  
Gauge Group ◽  
Baryon Number ◽  
Two Dimensional ◽  
Infinite Dimensional ◽  
Field Approach ◽  
Large N ◽  
Classical Dynamical System

We construct a classical dynamical system whose phase space is a certain infinite-dimensional Grassmannian manifold, and propose that it is equivalent to the large N limit of two-dimensional QCD with an O (2N+1) gauge group. In this theory, we find that baryon number is a topological quantity that is conserved only modulo 2. We also relate this theory to the master field approach to matrix models.

scholarly journals Wave propagation in 2D elastic composites with partially debonded fibres by the null field approach

2009 ◽  
Vol 19 (4) ◽  
pp. 654-669 ◽  
Author(s):  
V. Matus ◽  
Y. Kunets ◽  
V. Mykhas’kiv ◽  
A. Boström ◽  
Ch. Zhang
Keyword(s):  
Wave Propagation ◽  
Field Approach ◽  
Null Field ◽  
Elastic Composites

Static and Dynamic Properties of a Two-Dimensional Charged Bose Fluid

1998 ◽  
Vol 12 (12) ◽  
pp. 459-465 ◽  
Author(s):  
E. Strepparola ◽  
M. P. Tosi
Keyword(s):  
Coulomb Potential ◽  
Ground State ◽  
Coupling Strength ◽  
Dynamic Properties ◽  
Complete Solution ◽  
Mean Field ◽  
Strongly Correlated ◽  
Two Dimensional ◽  
Large Coupling ◽  
Field Approach

A complete solution of the Singwi–Tosi–Land–Sjölander approximation is given for the ground state and the elementary excitations of a fluid of charged bosons interacting via the two-dimensional ln (r) Coulomb potential at arbitrarily large coupling strength r s . The results are used to discuss the limitations of a static-mean-field approach in such a strongly correlated system.

Sign in / Sign up

Export Citation Format

Share Document