3 papers
cond-mat.stat-mech2026
Order-parameter-dependent mobility in the convective-viscous Cahn-Hilliard equation
P. O. Mchedlov-Petrosyan, L. N. Davydov, O. A. Osmaev +1
Generally the mobility in the Cahn-Hilliard equation may depend on the order parameter; this was evident already from the original derivation. However, explicit introduction of suc…
cond-mat.stat-mech2026
Sixth order modification of the Cahn-Hilliard equation
P. O. Mchedlov-Petrosyan, L. N. Davydov, O. A. Osmaev
We consider the sixth-order convective-viscous Cahn-Hilliard equation, different from the standard fourth-order Cahn-Hilliard equation due to the modified expression for the thermo…
cond-mat.mtrl-sci2025
Higher order potential in the modified convective-viscous Cahn-Hilliard equation
P. O. Mchedlov-Petrosyan, L. N. Davydov, O. A. Osmaev
To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a p…