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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]
Microstructural evolution under the Cahn–Hilliard equation, demonstrating distinctive coarsening and phase separation. Spinodal decomposition is a mechanism by which a single thermodynamic phase spontaneously separates into two phases (without nucleation). [1] Decomposition occurs when there is no thermodynamic barrier to phase separation. As ...
The original paper by Gerchberg and Saxton considered image and diffraction pattern of a sample acquired in an electron microscope. It is often necessary to know only the phase distribution from one of the planes, since the phase distribution on the other plane can be obtained by performing a Fourier transform on the plane whose phase is known.
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.