Department of Physics

Indian Institute of Technology Palakkad&nbsp;(IIT Palakkad or IIT PKD) is a public autonomous&nbsp;engineering&nbsp;and&nbsp;research&nbsp;institute located in&nbsp;Palakkad,&nbsp;Kerala. It was&nbsp;one of the five new&nbsp;IITs&nbsp;proposed in the&nbsp;2014 Union budget of India. The campus was inaugurated on 3 August 2015. The institute has 94 faculty, 978 students, and 63 non-teaching staffs.

IT Palakkad currently offers four-year Bachelor of Technology (B.Tech) and two years MS programmes in 8 different engineering disciplines including&nbsp;Computer Science, Electrical, Mechanical, Civil among others.

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IIT Palakkad

We show that the persistence probability [Formula Presented] in a coarsening system of linear size L at a time t, has the finite-size scaling form [Formula Presented] where θ is the persistence exponent and z is the coarsening exponent. The scaling function [Formula Presented] for [Formula Presented] and is constant for large x. The scaling form implies a fractal distribution of persistent sites with power-law spatial correlations. We study the scaling numerically for the Glauber-Ising model at dimension [Formula Presented] to 4 and extend the study to the diffusion problem. Our finite-size scaling ansatz is satisfied in all these cases providing a good estimate of the exponent [Formula Presented]. © 2000 The American Physical Society.

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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Persistence in higher dimensions: A finite size scaling study

The spatial distribution of unvisited/persistent sites in ID A+A→0 model is studied numerically. Over length scales smaller than a cut-off ξ (t) ∼ tz, the set of unvisited sites is found to be a fractal. The fractal dimension d f, dynamical exponent z and persistence exponent θ are related through z(1 - d f) = θ. The observed values of d f and z are found to be sensitive to the initial density of particles. We argue that this may be due to the existence of two competing length scales, and discuss the possibility of a crossover at late times.