Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Statistical Physics (General) I

DY 17.2: Talk

Tuesday, April 2, 2019, 10:15–10:30, H19

Universal Finite-Size Scaling for Kinetics of Phase Separation in Multicomponent Mixtures — Suman Majumder¹, •Subir K. Das², and Wolfhard Janke¹ — ¹Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, 04009 Leipzig, Germany — ²Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P.O., Bangalore 560064, India

From Kawasaki-exchange Monte Carlo simulations of the q-state Potts model, we present results for the kinetics of phase separation in multicomponent mixtures, for q ≤ 10, in space dimension d=2. A particular focus has been on the quantification of finite-size scaling functions for various values of q and quench depths. For a range of final quench temperatures, our analyses, via finite-size scaling and other state-of-the-art methods, show that the growth follows the Lifshitz-Slyozov behavior, expected for a diffusive mechanism, irrespective of the number of components. We show that the growth for different q values and quench temperatures, in finite systems, can be described by a universal scaling function with a nonuniversal metric factor, originating from the differences in the amplitudes. We also demonstrate the morphological and kinetic equivalence between a q-component equal proportion mixture and an off-critical binary mixture, in the framework of the Ising model, with relative concentration of the minority component in the latter being x_c=1/q.