Asymptotic symmetry breakdown and restoration in a statistical system of particles with a short-range vector interaction, and cosmological models

1982 ◽  
Vol 25 (9) ◽  
pp. 804-809
Author(s):  
G. G. Ivanov
Keyword(s):  
Short Range ◽  
Cosmological Models ◽  
Statistical System ◽  
Asymptotic Symmetry ◽  
Symmetry Breakdown ◽  
Vector Interaction ◽  
System Of Particles ◽  
Range Vector

scholarly journals Long-range vector models at large N

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Noam Chai ◽  
Mikhail Goykhman ◽  
Ritam Sinha
Keyword(s):  
Long Range ◽  
Short Range ◽  
Conformal Symmetry ◽  
Vector Model ◽  
Entire Region ◽  
Crossover Point ◽  
Range Interaction ◽  
Large N ◽  
Long Range Interaction ◽  
Range Vector

Abstract We calculate various CFT data for the O(N) vector model with the long-range interaction, working at the next-to-leading order in the 1/N expansion. Our results provide additional evidence for the existence of conformal symmetry at the long-range fixed point, as well as the continuity of the CFT data at the long-range to short-range crossover point s* of the exponent parameter s. We also develop the N > 1 generalization of the recently proposed IR duality between the long-range and the deformed short-range models, providing further evidence for its non-perturbative validity in the entire region d/2 < s < s*.

scholarly journals Absence of Ordering in Short Range Vector Spin Glass: Revisited

1990 ◽  
Vol 59 (1) ◽  
pp. 295-299 ◽  
Author(s):  
Hidetoshi Nishimori ◽  
Yukiyasu Ozeki
Keyword(s):  
Spin Glass ◽  
Short Range ◽  
Range Vector

Ferromagnetic transitions in a short range vector field model

1971 ◽  
Vol 34 (2) ◽  
pp. 75-76 ◽  
Author(s):  
G. Kalman ◽  
S.T. Lai
Keyword(s):  
Vector Field ◽  
Short Range ◽  
Field Model ◽  
Range Vector

Domain coarsening by grain boundary migration in ordered Ni4Mo

1986 ◽  
Vol 44 ◽  
pp. 560-561
Author(s):  
K. Vasudevan ◽  
H. P. Kao ◽  
C. R. Brooks ◽  
E. E. Stansbury
Keyword(s):  
Grain Boundary ◽  
Grain Boundaries ◽  
Short Range ◽  
Boundary Migration ◽  
Grain Boundary Migration ◽  
Rapid Cooling ◽  
Temperature Range ◽  
Fee Structure ◽  
Domain Coarsening ◽  
Boundary Reaction

The Ni4Mo alloy has a short-range ordered fee structure (α) above 868°C, but transforms below this temperature to an ordered bet structure (β) by rearrangement of atoms on the fee lattice. The disordered α, retained by rapid cooling, can be ordered by appropriate aging below 868°C. Initially, very fine β domains in six different but crystallographically related variants form and grow in size on further aging. However, in the temperature range 600-775°C, a coarsening reaction begins at the former α grain boundaries and the alloy also coarsens by this mechanism. The purpose of this paper is to report on TEM observations showing the characteristics of this grain boundary reaction.

Ordering in Ni4Mo by TEM and APFIM

1987 ◽  
Vol 45 ◽  
pp. 214-215
Author(s):  
E.A. Kenik ◽  
T.A. Zagula ◽  
M.K. Miller ◽  
J. Bentley
Keyword(s):  
Electron Irradiation ◽  
Low Temperatures ◽  
Short Range ◽  
Atom Probe ◽  
Range Order ◽  
Considerable Time ◽  
Probe Field ◽  
Disordered Phase ◽  
Transmission Electron ◽  
Diffraction Patterns

The state of long-range order (LRO) and short-range order (SRO) in Ni4Mo has been a topic of interest for a considerable time (see Brooks et al.). The SRO is often referred to as 1½0 order from the apparent position of the diffuse maxima in diffraction patterns, which differs from the positions of the LRO (D1a) structure. Various studies have shown that a fully disordered state cannot be retained by quenching, as the atomic arrangements responsible for the 1½0 maxima are present at temperatures above the critical ordering temperature for LRO. Over 20 studies have attempted to identify the atomic arrangements associated with this state of order. A variety of models have been proposed, but no consensus has been reached. It has also been shown that 1 MeV electron irradiation at low temperatures (∼100 K) can produce the disordered phase in Ni4Mo. Transmission electron microscopy (TEM), atom probe field ion microscopy (APFIM), and electron irradiation disordering have been applied in the current study to further the understanding of the ordering processes in Ni4Mo.

Early Education in Short-Range Historical Perspective

1969 ◽  
Vol 14 (8) ◽  
pp. 437-438
Author(s):  
CELIA STENDLER LAVATELLI
Keyword(s):  
Short Range ◽  
Historical Perspective ◽  
Early Education
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