Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-10-15
PHYSICAL REVIEW E 78, 041119 (2008)
Physics
Condensed Matter
Statistical Mechanics
9 pages, revtex4, to appear in PRE
Scientific paper
10.1103/PhysRevE.78.041119
We investigate the dynamics of a two dimensional axial next nearest neighbour Ising (ANNNI) model following a quench to zero temperature. The Hamiltonian is given by $H = -J_0\sum_{i,j=1}^L S_{i,j}S_{i+1,j} - J_1\sum_{i,j=1} [S_{i,j} S_{i,j+1} -\kappa S_{i,j} S_{i,j+2}]$. For $\kappa <1$, the system does not reach the equilibrium ground state but slowly evolves to a metastable state. For $\kappa > 1$, the system shows a behaviour similar to the two dimensional ferromagnetic Ising model in the sense that it freezes to a striped state with a finite probability. The persistence probability shows algebraic decay here with an exponent $\theta = 0.235 \pm 0.001$ while the dynamical exponent of growth $z=2.08\pm 0.01$. For $\kappa =1$, the system belongs to a completely different dynamical class; it always evolves to the true ground state with the persistence and dynamical exponent having unique values. Much of the dynamical phenomena can be understood by studying the dynamics and distribution of the number of domains walls. We also compare the dynamical behaviour to that of a Ising model in which both the nearest and next nearest neighbour interactions are ferromagnetic.
Biswas Soham
Chandra Anjan Kumar
Sen Parongama
No associations
LandOfFree
Zero temperature dynamics in two dimensional ANNNI model 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 Zero temperature dynamics in two dimensional ANNNI model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero temperature dynamics in two dimensional ANNNI model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-303006