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The Cahn–Hilliard equation (after John W. Cahn and John E. Hilliard) [1] is an equation of mathematical physics which describes the process of phase separation, spinodal decomposition, by which the two components of a binary fluid spontaneously separate and form domains pure in each component.
The most common type of phase separation is between two immiscible liquids, such as oil and water. This type of phase separation is known as liquid-liquid equilibrium. Colloids are formed by phase separation, though not all phase separations forms colloids - for example oil and water can form separated layers under gravity rather than remaining ...
Liquid-liquid phase separation (LLPS) is well defined in the Biomolecular condensate page. LLPS databases cover different aspects of LLPS phenomena, ranging from cellular location of the Membraneless Organelles (MLOs) to the role of a particular protein/region forming the condensate state.
Experimental approaches include phase separation assays using bright-field imaging or fluorescence microscopy, and fluorescence recovery after photobleaching (FRAP), as well as rheological analysis of phase-separated droplets. [105] Computational approaches include coarse-grained molecular dynamics simulations and circuit topology analysis. [106]
It compares pi-pi interactions predicted in the target proteins with all proteins found in the PDB to assign a score of phase-separation propensity. [3] catGRANULE [4] 2016 catGRANULE is a method that was originally trained against yeast protein but it has been shown to be useful to predict human phase-separating proteins. [5]
A numerical solution to the one dimensional Allen-Cahn equation. The Allen–Cahn equation (after John W. Cahn and Sam Allen) is a reaction–diffusion equation of mathematical physics which describes the process of phase separation in multi-component alloy systems, including order-disorder transitions.
In fact, both theory and computer simulations assume a thermodynamic separation principle: the separation process is determined by the equilibrium distribution (partitioning) of solute macromolecules between two phases: a dilute bulk solution phase located at the interstitial space and confined solution phases within the pores of column packing ...
Polymerization-induced phase separation (PIPS) is the occurrence of phase separation in a multicomponent mixture induced by the polymerization of one or more components. [1] [2] The increase in molecular weight of the reactive component renders one or more components to be mutually immiscible in one another, resulting in spontaneous phase segregation.