scholarly journals HIGH-PRECISION ESTIMATES OF CRITICAL QUANTITIES BY MEANS OF IMPROVED HAMILTONIANS

2001 ◽  
Vol 16 (11) ◽  
pp. 2009-2014 ◽  
Author(s):  
MASSIMO CAMPOSTRINI ◽  
PAOLO ROSSI ◽  
ETTORE VICARI ◽  
MARTIN HASENBUSCH ◽  
ANDREA PELISSETTO

Three-dimensional spin models of the Ising and XY universality classes are studied by a combination of high-temperature expansions and Monte Carlo simulations applied to improved Hamiltonians. The critical exponents and the critical equation of state are determined to very high precision.

2001 ◽  
Vol 94 (1-3) ◽  
pp. 857-860 ◽  
Author(s):  
M. Campostrini ◽  
M. Hasenbusch ◽  
A. Pelissetto ◽  
P. Rossi ◽  
E. Vicari

1999 ◽  
Vol 60 (4) ◽  
pp. 3526-3563 ◽  
Author(s):  
Massimo Campostrini ◽  
Andrea Pelissetto ◽  
Paolo Rossi ◽  
Ettore Vicari

2012 ◽  
Vol 190 ◽  
pp. 39-42
Author(s):  
M. Medvedeva ◽  
Pavel V. Prudnikov

The dynamic critical behavior of the three-dimensional Heisenberg model with longrangecorrelated disorder was studied by using short-time Monte Carlo simulations at criticality.The static and dynamic critical exponents are determined. The simulation was performed fromordered initial state. The obtained values of the exponents are in a good agreement with resultsof the field-theoretic description of the critical behavior of this model in the two-loopapproximation.


1992 ◽  
Vol 270 ◽  
Author(s):  
Zdenék Slanina ◽  
Ludwik Adamowicz

ABSTRACTPurely carbonaceous aggregates C20 have been studied by the AM1 quantumchemical method. In addition to one dodecahedron-shaped structure possessing C1 symmetry another three-dimensional species is revealed, viz. a bowl-shaped structureof C5v symmetry (and also one two-dimensional and two one-dimensional species). Temperature dependence of the relative stabilities of both three-dimensional structures is evaluated, showing that in the relevant temperature region the fullerenic species is prevailing. However, in a very high temperature region a relative-stability interchange has been predicted.


Author(s):  
P. Dean ◽  
N. F. Bird

In this paper we present results for the critical percolation probabilities of a number of two- and three-dimensional lattices. These results are based upon Monte Carlo studies of the way in which cluster-size distributions vary as the number of occupied sites in a lattice is progressively increased; the principle of the method has been described in some detail in an earlier publication (Dean (1)) in which the results of studies carried out on the ACE computer were reported. The use of a KDF 9 computer with a 32K word high-speed store has now enabled us to obtain results of a very high accuracy indeed; in those cases where our values for critical probabilities can be checked against exactly known values, they differ by no more than 0·1%.


Sensors ◽  
2021 ◽  
Vol 21 (14) ◽  
pp. 4680
Author(s):  
Xin Wen ◽  
Jingpeng Wang ◽  
Guangyu Zhang ◽  
Lianqiang Niu

The three-dimensional (3D) size and morphology of high-temperature metal components need to be measured in real time during manufacturing processes, such as forging and rolling. Since the surface temperature of a metal component is very high during the forming and manufacturing process, manually measuring the size of a metal component at a close distance is difficult; hence, a non-contact measurement technology is required to complete the measurement. Recently, machine vision technology has been developed, which is a non-contact measurement technology that only needs to capture multiple images of a measured object to obtain the 3D size and morphology information, and this technology can be used in some extreme conditions. Machine vision technology has been widely used in industrial, agricultural, military and other fields, especially fields involving various high-temperature metal components. This paper provides a comprehensive review of the application of machine vision technology in measuring the 3D size and morphology of high-temperature metal components. Furthermore, according to the principle and method of measuring equipment structures, this review highlights two aspects in detail: laser scanning measurement and multi-view stereo vision technology. Special attention is paid to each method through comparisons and analyses to provide essential technical references for subsequent researchers.


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