Active mixtures

 Mixtures of two (or more) particles of distinct activity can demix.

A.Y. Grosberg and J.-F. Joanny, Phys. Rev. E 92, 032118 (2015):

S. Weber, C. Weber, E. Frey, PRL 116, 058301 (2016)

J. Smerek and K. Kremer, PRL 118, 098002 (2017)

Are density correlations in the disordered mixture short ranged?

Two point correlation functions are constrained by isotropy and translational symmetry to be short ranged. superposition:

Three point correlation functions: The irrelevant nonlinearities generate pinch-point singularities and long-range correlations:

This is confirmed by simulations of a binary active mixture in one dimensions:

Jessica Metzger, Y. Kafri, M. Kardar, J. Tailleur, arXiv:2606.14651 

Next (Phase separation) Outline Pressure Boundary shape Inclusions Disorder Phase separation Boundary disorder Mixtures Summary

W. Zhong, Chaos,... 210, 118692 (2026)