Finite-size instabilities in finite-range forces

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
C. Gonzalez-Boquera ◽  
M. Centelles ◽  
X. Viñas ◽  
L. M. Robledo
Keyword(s):  
Finite Size ◽  
Finite Range

FINITE-RANGE SCALING IN THE KAC MODEL

1991 ◽  
Vol 05 (14n15) ◽  
pp. 1031-1036 ◽  
Author(s):  
VLADIMIR PRIVMAN
Keyword(s):  
Mean Field ◽  
Finite Size ◽  
Ising Models ◽  
High Dimensional ◽  
Finite Range ◽  
Kac Model ◽  
1D Chain ◽  
Correlation Properties

The Kac model of 1d chain of spins with exponentially decaying interactions is considered within the finite-range scaling formulation. It is found that with appropriate definitions, the thermodynamic and correlation properties are universal with the finite-size in high-dimensional mean-field Ising models.

scholarly journals Stability of a vortex street of finite vortices

1982 ◽  
Vol 117 ◽  
pp. 171-185 ◽  
Author(s):  
P. G. Saffman ◽  
J. C. Schatzman
Keyword(s):  
Finite Size ◽  
Vortex Street ◽  
Two Dimensional ◽  
Finite Range ◽  
Finite Area ◽  
Von Karman ◽  
Spacing Ratio ◽  
Vortex Size ◽  
Karman Vortex ◽  
The Stability

The stability of the finite-area Kármán ‘vortex street’ to two-dimensional disturbances is determined. It is shown that for vortices of finite size there exists a finite range of spacing ratio κ for which the array is stable to infinitesimal disturbances. As the vortex size approaches zero, the range narrows to zero width about the classical von Kármán value of 0·281.

The partial realization theory of finite size two-dimensional arrays

1981 ◽  
Vol 64 (10) ◽  
pp. 1-8
Author(s):  
Tsuyoshi Matsuo ◽  
Yasumichi Hasegawa ◽  
Yoshikuni Okada
Keyword(s):  
Finite Size ◽  
Two Dimensional ◽  
Realization Theory
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