2 citations · 3 across the 10 of their papers we have counts for
10 papers
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…
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…
Cahn-Hilliard model with Schlögl Reactions: interplay of equilibrium and non-equilibrium phase transitions. II. Memory effects
P. O. Mchedlov-Petrosyan, L. N. Davydov
The present work is a continuation of our previous paper [Condens. Matter Phys., 2020, 23, 33602: 1-17]. It is devoted to the modelling of the interplay of equilibrium and non-equi…
Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions
P. O. Mchedlov-Petrosyan, L. N. Davydov
Recently the combination of the well-known Cahn-Hilliard and Allen-Cahn equations was used to describe surface processes, such as simultaneous adsorption/desorption and surface dif…
Cahn-Hilliard model with Schlögl reactions: interplay of equilibrium and non-equilibrium phase transitions. I. Travelling wave solutions
P. O. Mchedlov-Petrosyan, L. N. Davydov
The present work is devoted to the modelling which is based on the modified Cahn-Hilliard equation, the interplay of equilibrium and non-equilibrium phase transitions. The non-equi…
Exact travelling wave solutions for the Penrose-Fife Phase Field Model
Petro Mchedlov-Petrosyan, Leonid Davydov
The Penrose-Fife Phase Field Model is now a well-established model in the theory of phase transitions. In the course of study of this model both the rigorous mathematical results a…
Oxides in an oxygen potential gradient: coupled morphological stability of the multiple phase boundaries
Petro Mchedlov-Petrosyan, Manfred Martin
In materials that are exposed to thermodynamic potential gradients, i.e., gradients of chemical potentials, electrical potential, temperature, or pressure, transport processes of t…