12,420 research outputs found
Eight-potential-well order-disorder ferroelectric model and effects of random fields
An eight-potential-well order-disorder ferroelectric model was presented and
the phase transition was studied under the mean-field approximation. It was
shown that the two-body interactions are able to account for the first-order
and the second order phase transitions. With increasing the random fields in
the system, a first-order phase transition is transformed into a second-order
phase transition, and furthermore, a second-order phase transition is
inhibited.
However, proper random fields can promote the spontaneous appearance of a
first-order phase transition by increasing the overcooled temperature. The
connections of the model with relaxors were discussed.Comment: 8 pages, 5 figures. Submitted to Applied Physics Letter
Full linear perturbations and localization of gravity on brane
We study the thick brane world system constructed in the recently proposed
theories of gravity, with the Ricci scalar and the trace of
the energy-momentum tensor. We try to get the analytic background solutions and
discuss the full linear perturbations, especially the scalar perturbations. We
compare how the brane world model is modified with that of general relativity
coupled to a canonical scalar field. It is found that some more interesting
background solutions are allowed, and only the scalar perturbation mode is
modified. There is no tachyon state exists in this model and only the massless
tensor mode can be localized on the brane, which recovers the effective
four-dimensional gravity. These conclusions hold provided that two constraints
on the original formalism of the action are satisfied.Comment: v3: 8 pages, 2 figures, improved version with minor corrections,
accepted by EPJ
- …