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An introduction to phase ordering in scalar active matter.
Eur Phys J Spec Top
August 2024
The Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, Oxford, OX1 3PU UK.
These notes provide an introduction to phase ordering in dry, scalar active matter. We first briefly review Model A and Model B, the long-standing continuum descriptions of ordering in systems with a non-conserved and conserved scalar order parameter. We then contrast different ways in which the field theories can be extended so that the phase ordering persists, but in systems that are active and do not reach thermodynamic equilibrium.
View Article and Find Full Text PDFPhase ordering in binary mixtures of active nematic fluids.
Phys Rev E
August 2024
Rudolf Peierls Centre for Theoretical Physics, Parks Road, University of Oxford, Oxford OX1 3PU, United Kingdom.
We use a continuum, two-fluid approach to study a mixture of two active nematic fluids. Even in the absence of thermodynamically driven ordering, for mixtures of different activities we observe turbulent microphase separation, where domains form and disintegrate chaotically in an active turbulent background. This is a weak effect if there is no elastic nematic alignment between the two fluid components, but is greatly enhanced in the presence of an elastic alignment or substrate friction.
View Article and Find Full Text PDFCriticality in Alzheimer's and healthy brains: insights from phase-ordering.
Cogn Neurodyn
August 2024
Center for Computational Natural Sciences and Bioinformatics, International Institute of Information Technology, Hyderabad, India.
Criticality, observed during second-order phase transitions, is an emergent phenomenon. The brain operates near criticality where complex systems exhibit high correlations. As a system approaches criticality, it develops "domain"-like regions with competing phases and increased spatio-temporal correlations that diverge.
View Article and Find Full Text PDFDecay Dynamics of a Single Spherical Domain in Near-Critical Phase-Separated Conditions.
Phys Rev Lett
July 2024
University of Bordeaux, CNRS, LOMA, UMR 5798, F-33400, Talence, France.
Domain decay is at the heart of the so-called evaporation-condensation Ostwald-ripening regime of phase ordering kinetics, where the growth of large domains occurs at the expense of smaller ones, which are expected to "evaporate." We experimentally investigate such decay dynamics at the level of a single spherical domain picked from one phase in coexistence and brought into the other phase by an optomechanical approach, in a near-critical phase-separated binary liquid mixture. We observe that the decay dynamics is generally not compatible with the theoretically expected surface-tension decay laws for conserved order parameters.
View Article and Find Full Text PDFHyperuniformity in phase ordering: the roles of activity, noise, and non-constant mobility.
J Phys Condens Matter
July 2024
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
Hyperuniformity emerges generically in the coarsening regime of phase-separating fluids. Numerical studies of active and passive systems have shown that the structure factor() behaves asfor → 0, with hyperuniformity exponent = 4. For passive systems, this result was explained in 1991 by a qualitative scaling analysis of Tomita, exploiting isotropy at scales much larger than the coarsening length.
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