Details: |
We present systematic temperature-quench Monte Carlo simula-
tions of discrete strain-pseudospin models [1] for four martensitic tran-
sitions in 3-spatial dimensions (3D) that do occur in real materials [2].
On quenching below transition, we find that system slowly releases en-
ergy on finding the passage from one constant energy shell to another
as proposed by Ritort [3]. The probability distribution of these energy
releases have an exponential tail, scaled with an effective temperature.
We find passage-searches freeze at a temperature Td, where the effec-
tive temperature Tef f (T) ∼ |T − Td| vanishes linearly to explain the
Vogel-Fulcher divergence of equilibration times in martensites found
both in 3D and 2D simulations [4] and experiments [5, 6]. |