Phase stability condition and liquid-liquid phase separation under mesoscale confinement

Seishi Shimizu; Nobuyuki Matubayasi

doi:10.1016/j.physa.2020.125385

Phase stability condition and liquid-liquid phase separation under mesoscale confinement

Seishi Shimizu, Nobuyuki Matubayasi

Chemistry

Research output: Contribution to journal › Article › peer-review

Abstract

Here we establish the thermodynamic phase stability condition under mesoscale confinement, which is essential in elucidating how the confinement of solutions inside a droplet, cell or liposome may influence phase separation. To clarify how phase stability is affected by external conditions, a formal analogy between the partially open ensemble and mesoscopic system will be exploited, through which the nonnegligible role of the system boundary will be identified as the crucial difference from the macroscopic stability condition. The thermodynamic stability condition extended for mesoscale is shown to involve several different orders of magnitude that are all considered to be O(1) at a macroscopic limit. Phase instability in mesoscale is shown to ensue when the difference between self-association (relative self-fluctuation of particle number) and mutual association (relative number correlation between different species) reaches the mesoscopic order of magnitude, in contrast to the divergence of particle number fluctuation (namely, reaching a macroscopic order of magnitude) required in macroscale. Thus, confinement may enhance phase instability.

Original language	English
Article number	125385
Number of pages	13
Journal	Physica A: Statistical Mechanics and its Applications
Volume	563
Early online date	7 Oct 2020
DOIs	https://doi.org/10.1016/j.physa.2020.125385
Publication status	Published - 1 Feb 2021

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Cite this

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title = "Phase stability condition and liquid-liquid phase separation under mesoscale confinement",

abstract = "Here we establish the thermodynamic phase stability condition under mesoscale confinement, which is essential in elucidating how the confinement of solutions inside a droplet, cell or liposome may influence phase separation. To clarify how phase stability is affected by external conditions, a formal analogy between the partially open ensemble and mesoscopic system will be exploited, through which the nonnegligible role of the system boundary will be identified as the crucial difference from the macroscopic stability condition. The thermodynamic stability condition extended for mesoscale is shown to involve several different orders of magnitude that are all considered to be O(1) at a macroscopic limit. Phase instability in mesoscale is shown to ensue when the difference between self-association (relative self-fluctuation of particle number) and mutual association (relative number correlation between different species) reaches the mesoscopic order of magnitude, in contrast to the divergence of particle number fluctuation (namely, reaching a macroscopic order of magnitude) required in macroscale. Thus, confinement may enhance phase instability. ",

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