# Universality of Domain Growth in Antiferromagnets with Spin-Exchange Kinetics

Source: [Universality of Domain Growth in Antiferromagnets with Spin-Exchange Kinetics](<https://www.sota2.com/research/paper/68fa36ae1e209131ce8abc81>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:58.473Z

Authors: Prasenjit Das, Tanusri Saha-Dasgupta, Sanjay Puri

Published: 2017-10-24T08:34:49.000Z

## Abstract

We study phase ordering kinetics in symmetric and asymmetric binary mixtures, undergoing an order-disorder transition below the critical temperature. Microscopically, we model the kinetics via antiferromagnetic Ising model with Kawasaki spin-exchange kinetics. This conserves the composition while the order-parameter (staggered magnetization) is not conserved. The order-parameter correlation function and structure factor show dynamical scaling, and the scaling functions are independent of the mixture composition. The average domain size shows a power-law growth: $L\_\\sigma(t)\\sim t^\\alpha$. The asymptotic growth regime has $\\alpha=1/2$, though there can be prolonged transients with $\\alpha\<1/2$ for asymmetric mixtures. Our unambiguous observation of the asymptotic universal regime is facilitated by using an accelerated Monte Carlo technique. We also obtain the coarse-grained free energy from the Hamiltonian, as a function of two order-parameters. The evolution of these order-parameters is modeled by using \\textit{Model C} kinetics. Similar to the microscopic dynamics, the average domain size of the nonconserved order-parameter (staggered magnetization) field exhibits a power-law growth: $L\_m(t)\\sim t^{1/2}$ at later times, irrespective of the mean value of the conserved order-parameter (composition) field.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1710.08650>)

[PDF](<https://arxiv.org/pdf/1710.08650.pdf>)