2024/12/13 by Damián G. Hernández, Hernandez, Dalia, Soham Biswas +1
Physics and Astronomy · #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2412.10368
We present the first example where length scale for the growth of ordered\nregions and the correlation length for the two point correlations of persistent\nsites scale differently with time. We do so by studying a global spin exchange\ndynamics in one dimension where a selected spin interacts with its two nearest\ndomains. We found domain growth exponent z=2.47\± 0.03 and the persistence\nexponent \θ=0.445\±0.002, making z\θ > d=1. Unlike any previous\nstudy, we found correlation length of two point correlation of persistent sites\ngrows in a power law with exponent \ζ=1.00\± 0.03 by studying the fractal\nstructure created by the persistent sites at the different stages of the\ndynamics and shown that fractal dimension is not related with any growth\nexponents.\n