scholarly journals Monte Carlo simulations of spin glasses at low temperatures: Effects of free boundary conditions

2002 ◽  
Vol 65 (21) ◽  
Author(s):  
Helmut G. Katzgraber ◽  
A. P. Young
Keyword(s):  
Monte Carlo ◽  
Free Boundary ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Low Temperatures ◽  
Spin Glasses ◽  
Free Boundary Conditions

scholarly journals Monte Carlo simulations of spin glasses at low temperatures

2001 ◽  
Vol 63 (18) ◽  
Author(s):  
Helmut G. Katzgraber ◽  
Matteo Palassini ◽  
A. P. Young
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Low Temperatures ◽  
Spin Glasses

DENSITY PROFILE OF THE INCIPIENT INFINITE PERCOLATION CLUSTER

1999 ◽  
Vol 10 (05) ◽  
pp. 935-940 ◽  
Author(s):  
DIETRICH STAUFFER ◽  
AMNON AHARONY
Keyword(s):  
Monte Carlo ◽  
Free Boundary ◽  
Boundary Conditions ◽  
Fractal Dimensions ◽  
Percolation Cluster ◽  
Scaling Functions ◽  
Exact Results ◽  
Free Boundary Conditions ◽  
Aspect Ratios ◽  
Simple Scaling

Monte Carlo simulations show simple scaling for the number of sites in the spanning cluster at the percolation threshold as a function of distance from the border. The results for free boundary conditions represent crossover from surface to bulk fractal dimensions, and the former agrees with exact results in d=2 and d=6-∊ dimensions and with earlier simulations. We also present and explain results for bus–bar boundary conditions, with two types of connection rules. The scaling functions, which are predicted to be universal, surprisingly seem not to depend on the aspect ratios of the samples.

scholarly journals Local Well-Posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 461
Author(s):  
Kenta Oishi ◽  
Yoshihiro Shibata
Keyword(s):  
Free Surface ◽  
Free Boundary ◽  
Boundary Conditions ◽  
Stokes Equations ◽  
Mhd Flow ◽  
Transmission Conditions ◽  
Well Posedness ◽  
Anisotropic Space ◽  
Free Boundary Conditions ◽  
Incompressible Magnetohydrodynamics

In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by a free surface. An electromagnetic field generated by some currents in an external domain keeps an MHD flow in a bounded domain. On the free surface, free boundary conditions for MHD flow and transmission conditions for electromagnetic fields are imposed. We proved the local well-posedness in the general setting of domains from a mathematical point of view. The solutions are obtained in an anisotropic space Hp1((0,T),Hq1)∩Lp((0,T),Hq3) for the velocity field and in an anisotropic space Hp1((0,T),Lq)∩Lp((0,T),Hq2) for the magnetic fields with 2<p<∞, N<q<∞ and 2/p+N/q<1. To prove our main result, we used the Lp-Lq maximal regularity theorem for the Stokes equations with free boundary conditions and for the magnetic field equations with transmission conditions, which have been obtained by Frolova and the second author.

scholarly journals Identification of Corrosion on a Hollow Tube Using Vibration

2014 ◽  
Vol 564 ◽  
pp. 176-181
Author(s):  
S.T. Cheng ◽  
Nawal Aswan Abdul Jalil ◽  
Zamir A. Zulkefli
Keyword(s):  
Free Boundary ◽  
Boundary Conditions ◽  
Natural Frequency ◽  
Impact Loading ◽  
Structural Damage ◽  
Natural Frequencies ◽  
Localized Corrosion ◽  
Free Boundary Conditions ◽  
The Impact ◽  
Impact Vibration

Vibration based technique have so far been focused on the identification of structural damage. However, not many studies have been conducted on the corrosion identification on pipes. The objective of this paper is to identify corrosion on pipes from vibration measurements. A hollow pipe, 500 mm in length with 63.5 mm in diameter was subjected to impact loading using an impact hammer to identify the natural frequency of the tube in two conditions i) without any corrosion and ii) with an induced localized 40 mm by 40 mm corrosion at the middle of the pipe. The shift of natural frequencies of the structures under free boundary conditions was examined for each node of excitation. The results showed that there is a shift in natural frequency of the pipe, between 3 and 4 Hz near to the corrosion area. It can suggested that that the impact vibration is capable of identifying of localized corrosion on a hollow tube.

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