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Friction-Induced Vibrations and Self-Organization
book

Friction-Induced Vibrations and Self-Organization

by Michael Nosonovsky, Vahid Mortazavi
August 2013
Intermediate to advanced content levelIntermediate to advanced
333 pages
11h 16m
English
CRC Press
Content preview from Friction-Induced Vibrations and Self-Organization
251From Frictional Instabilities to Friction-Induced Self-Organization

HF
Ri
()
o
i
=•
(8.73)
where
F
is a uniform potential eld and
Ri()
is the position of the lattice
with respect to the reference frame.
Monte Carlo simulations of Potts models have traditionally used local
algorithms such as that of Metropolis (Graner and Glazer 1992). A lattice
site (i,j) is chosen at random and a new trial spin is also chosen at random
from one of its surroundings to test local boundary energy minimization
(Figure8.21). The probability P of accepting such a reassignment is (Graner
and Glazer 1992)
P
H
eH
10
0
HkT/
=
(8.74)
where ΔH is the difference between total energy before and after the spin
reassignment, T is the magnitude of uctuations, and k
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Publisher Resources

ISBN: 9781466504011