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  • Letter

Phase separation on surfaces in the presence of matter exchange

Nirvana Caballero1,*, Karsten Kruse2, and Thierry Giamarchi1

  • 1Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland
  • 2Department of Biochemistry, Department of Theoretical Physics, and NCCR Chemical Biology, University of Geneva, 1211 Geneva, Switzerland

  • *Corresponding author: Nirvana.Caballero@unige.ch

Phys. Rev. E 108, L012801 – Published 25 July, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L012801

Abstract

We present a field theory to describe the composition of a surface spontaneously exchanging matter with its bulk environment. By only assuming matter conservation in the system, we show with extensive numerical simulations that, depending on the matter exchange rates, a complex patterned composition distribution emerges on the surface. For one-dimensional systems we show analytically and numerically that coarsening is arrested and as a consequence domains have a characteristic length scale. Our results show that the causes of heterogeneous lipid composition in cellular membranes may be justified in simple physical terms.

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