Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-06-18
PRE 66, 056101 (2002)
Physics
Condensed Matter
Statistical Mechanics
published version
Scientific paper
10.1103/PhysRevE.66.056101
We examine a square-lattice nearest-neighbor Ising quantum ferromagnet coupled to $d$-dimensional phonon baths. Using the density-matrix equation, we calculate the transition rates between configurations, which determines the specific dynamic. Applying the calculated stochastic dynamic in Monte Carlo simulations, we measure the lifetimes of the metastable state. As the magnetic field approaches $|H|/J=2$ at low temperatures, the lifetime prefactor diverges because the transition rates between certain configurations approaches zero under these conditions. Near $|H|/J=2$ and zero temperature, the divergent prefactor shows scaling behavior as a function of the field, temperature, and the dimension of the phonon baths. With proper scaling, the simulation data at different temperatures and for different dimensions of the baths collapse well onto two master curves, one for $|H|/J>2$ and one for $|H|/J<2$.
Novotny Mark A.
Park Kyungwha
Rikvold Per Arne
No associations
LandOfFree
Scaling analysis of a divergent prefactor in the metastable lifetime of a square-lattice Ising ferromagnet at low temperatures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Scaling analysis of a divergent prefactor in the metastable lifetime of a square-lattice Ising ferromagnet at low temperatures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling analysis of a divergent prefactor in the metastable lifetime of a square-lattice Ising ferromagnet at low temperatures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-366413