4 papers
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…
On the Modified Eguchi-Oki-Matsumura System
P. O. Mchedlov-Petrosyan, L. N. Davydov
To describe the simultaneous order-disorder transformation and phase separation Eguchi, Oki and Matsumura [\doi{10.1557/proc-21-589}] introduced the system of two equations: one eq…
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…
Kinetic Model of the Emergence of Autocatalysis
P. O. Mchedlov-Petrosyan, L. N. Davydov
We develop a formal model of the emergence of self-constructing objects (e.g. heteropolymers with autocatalytic capability) in an open system, which don't contain such objects init…