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Computational benefits of nucleation in liquid–liquid phase separation

Systematically analyze the computational benefits of nucleation in liquid–liquid phase separation, including how nucleation-controlled decision surfaces impact information processing.

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Background

Equilibrium phase boundaries provide sharp decisions, but in many settings, kinetic factors—especially nucleation—determine which phase forms first and thus the effective decision surface. Such kinetically determined boundaries can be sharp and, in related self-assembly systems, more expressive than equilibrium boundaries.

For liquid–liquid phase separation, the computational implications of nucleation-controlled outcomes have not been comprehensively charted, leaving an open avenue to quantify and exploit these effects for classification tasks.

References

Such computational benefits of nucleation in the context of liquid-liquid phase separation have yet to be systematically explored.

Could Living Cells Use Phase Transitions to Process Information? (2507.23384 - Murugan et al., 31 Jul 2025) in Section III, Subsection "Physical determinants of computational abilities" (paragraph "Nucleation boundaries for higher expressivity")