Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-05-20
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures
Scientific paper
We argue that the lower bound to the barrier energy to flip an up/down spin domain embedded in a down/up spin environment for Ising spin glass is independent of the size of the system. The argument shows the existence of at least one dynamical way through which it is possible to bypass local maxima in the phase space. For an arbitrary case where one flips any cluster of spin of size $l$, we have numerically calculated a lower bound to the exponent $\psi$ characterizing the barrier one has to overcome. In this case $\psi$ corresponding to the lower bound calculated on hierarchical lattice comes out to be equal to $\theta $ the exponent characterizing the domain wall energy in ground state.
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