Isotropic model of quadrupole glass. II. Breaking of replica symmetry

1992 ◽  
Vol 91 (1) ◽  
pp. 438-445 ◽  
Author(s):  
E. A. Luchinskaya ◽  
E. E. Tareeva
1991 ◽  
Vol 87 (3) ◽  
pp. 669-673 ◽  
Author(s):  
E. A. Luchinskaya ◽  
E. E. Tareeva

AIAA Journal ◽  
1967 ◽  
Vol 5 (11) ◽  
pp. 1971-1975 ◽  
Author(s):  
C. S. LANDRAM ◽  
R. GREIF

1995 ◽  
Vol 28 (11) ◽  
pp. 3093-3107 ◽  
Author(s):  
V Dotsenko ◽  
A B Harris ◽  
D Sherrington ◽  
R B Stinchcombe

2021 ◽  
pp. 2000328
Author(s):  
Jinyuan Kong ◽  
Jijun He ◽  
Junxi Zhang ◽  
Jiajun Ma ◽  
Kang Xie ◽  
...  

2020 ◽  
Vol 28 ◽  
pp. 53-60
Author(s):  
Jelena Srnec Novak ◽  
Marina Franulović ◽  
Denis Benasciutti ◽  
Francesco De Bona

1993 ◽  
Vol 48 (10) ◽  
pp. 7125-7133 ◽  
Author(s):  
A. J. van der Sijs

1996 ◽  
Vol 28 (4) ◽  
pp. 993-1013 ◽  
Author(s):  
Margaret S. Mackisack ◽  
Roger E. Miles

A rectangular tessellation is a covering of the plane by non-overlapping rectangles. A basic theory for general homogeneous random rectangular tessellations is developed, and it is shown that many first-order mean values may be expressed in terms of just three basic quantities. Corresponding values for independent superpositions of two or more such tessellations are derived. The most interesting homogeneous rectangular tessellations are those with only T-vertices (i.e. no X-vertices). Gilbert's (1967) isotropic model adapted to this two-orthogonal-orientations case, although simply specified, appears theoretically intractable, due to a complex ‘blocking' effect. However, the approximating penetration model, also introduced by Gilbert, is found to be both tractable and informative about the true model. A multi-stage method for simulating the model is developed, and the distributions of important characteristics estimated.


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