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cond-mat.stat-mech2025
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…
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…
cond-mat.stat-mech2025
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…