
Liubov A. Gosteva- Master of Science
- Doctorante at Grenoble Alpes University
Liubov A. Gosteva
- Master of Science
- Doctorante at Grenoble Alpes University
I study statistical properties of noisy non-equilibrium systems on different length- and time-scales within fRG
About
15
Publications
319
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Introduction
In my PhD project, I study statistical properties of noisy non-equilibrium systems on different length- and time-scales within the functional renormalization group approach. This includes randomly stirred fluids (quantum and classical turbulence) and growing surfaces.
Burgers equation; KPZ equation; Kuramoto–Sivashinsky equation.
Current institution
Education
September 2017 - July 2021
Publications
Publications (15)
A new scaling regime characterized by a $z=1$ dynamical critical exponent has been reported in several numerical simulations of the one-dimensional Kardar-Parisi-Zhang and noisy Burgers equations. This scaling was found to emerge in the tensionless limit for the interface and in the inviscid limit for the fluid. Based on functional renormalization...
Formation of a droplet around a spherical solid particle in supersaturated vapor is considered. The number and stability of equilibrium solutions in a closed small system are studied in the canonical ensemble in comparison to an open system in the grand canonical ensemble. Depending on the system’s parameters, two modes exist in the canonical ensem...
Based on the expression for a grand thermodynamic potential as a molecular density functional, disjoining pressures in thin liquid films around nanosized wettable spherical particles and in thin vapor layers around nonwettable particles are calculated depending the degree of lyophilicity, film thickness and particle size. A characteristic feature o...
The classical density functional theory makes it possible to explicitly calculate the local density profiles, the components of the pressure tensor, and the thicknesses of thin interlayers between a lyophilic or lyophobic solid surface and, accordingly, gas or liquid phases at different values of the chemical potentials of the phases. Within the fr...
A classical square-gradient density functional theory is used for describing disjoining pressure in vapor layers between a lyophobic planar smooth solid substrate and stable bulk liquid, and between a lyophobic nanosized solid sphere and stretched bulk liquid. Profiles of local density, of normal and tangential components of the local pressure tens...
Existence of stable and unstable spherical shell-like vapor interlayers (or concentric nanobubbles) near lyophobic surfaces has been proved and their thermodynamic properties have been studied within the square gradient density functional theory. The equilibrium density profiles around lyophobic nanoscopic particles (without and with electric charg...