27,652 research outputs found
Stability of a two-sublattice spin-glass model
We study the stability of the replica-symmetric solution of a two-sublattice
infinite-range spin-glass model, which can describe the transition from
antiferromagnetic to spin glass state. The eigenvalues associated with
replica-symmetric perturbations are in general complex. The natural
generalization of the usual stability condition is to require the real part of
these eigenvalues to be positive. The necessary and sufficient conditions for
all the roots of the secular equation to have positive real parts is given by
the Hurwitz criterion. The generalized stability condition allows a consistent
analysis of the phase diagram within the replica-symmetric approximation.Comment: 21 pages, 5 figure
Reference Frames and the Physical Gravito-Electromagnetic Analogy
The similarities between linearized gravity and electromagnetism are known
since the early days of General Relativity. Using an exact approach based on
tidal tensors, we show that such analogy holds only on very special conditions
and depends crucially on the reference frame. This places restrictions on the
validity of the "gravito-electromagnetic" equations commonly found in the
literature.Comment: 9 Pages, 1 figure. To appear in the Proceedings of the IAU Symposium
261 "Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and
Data Analysis", Virginia Beach, USA, 27 April - 1 May 200
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