Persistence Exponents and Scaling In Two Dimensional XY model and A Nematic Model

Abstract

The persistence exponents associated with the T=0 quenching dynamics of the two dimensional XY model and a two dimensional uniaxial spin nematic model have been evaluated using a numerical simulation. The site persistence or the probability that the sign of a local spin component does not change starting from initial time t=0 up to certain time t, is found to decay as L(t)^-theta, (L(t) is the linear domain length scale), with theta =0.305 for the two dimensional XY model and 0.199 for the two dimensional uniaxial spin nematic model. We have also investigated the scaling (at the late time of phase ordering) associated with the correlated persistent sites in both models. The persistence correlation length was found to grow in same way as L(t).

8 figures, only three new references are included in this version. (ref. 18 and ref. 32)

References in corpus (2)

• Persistence Exponents and the Statistics of Crossings and Occupation Times for Gaussian Stationary Processes
• Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals

Cited by in corpus (2)

• Local Persistence in the Directed Percolation Universality Class
• Local and global persistence exponents of two quenched continuous lattice spin models