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Reentrant transitions in a mixture of small and big particles interacting via soft repulsive potential

Itay Azizi1,*, Alexander Y. Grosberg2,†, and Yitzhak Rabin1,‡

  • 1Department of Physics and Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel
  • 2Department of Physics and Center for Soft Matter Research, New York University, New York, New York 10003, USA

  • *aziziit@biu.ac.il
  • †ayg1@nyu.edu
  • ‡yitzhak.rabin@biu.ac.il

Phys. Rev. E 105, L032604 – Published 30 March, 2022

DOI: https://doi.org/10.1103/PhysRevE.105.L032604

Abstract

We report an observation of a temperature-controlled reentrant transition in simulations of mixtures of small and big particles interacting via a soft repulsive potential in two dimensions. As temperature increases, the system passes from a fluid mixture, to a crystal of big particles in a fluid of small particles, and back to a fluid mixture. Solidification is driven by entropy gain of small particles which overcomes the free-energy cost of confining big ones. Melting results from enhanced interpenetration of particles at high temperature which reduces the entropic forces that stabilize the crystal.

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