17 citations · 132 across the 24 of their papers we have counts for
26 papers
Power spectra via the van der Waals effect in the two-dimensional Poiseuille and Couette flow
Rafail V. Abramov
We numerically simulate the two-dimensional inertial flow with the van der Waals effect in a straight periodic channel around the Poiseuille and Couette stationary states. Even tho…
A molecular-kinetic hypothesis on the mechanics of compressible gas flow at low Mach numbers
Rafail V. Abramov
In recent works, we proposed a theory of turbulence creation via the second coefficient of the virial expansion (i.e. the van der Waals effect). This theory relies, in part, on the…
Turbulence via intermolecular potential: Uncovering the origin
Rafail V. Abramov
In recent works, we proposed a hypothesis, according to which turbulence in gases is created by the mean field effect of an intermolecular potential. We discovered that, in a numer…
Turbulence via intermolecular potential: A weakly compressible model of gas flow at low Mach number
Rafail V. Abramov
In our recent works we proposed a theory of turbulence in inertial gas flow via the mean field effect of an intermolecular potential. We found that, in inertial flow, turbulence in…
Turbulence via intermolecular potential: Viscosity and transition range of the Reynolds number
Rafail V. Abramov
Turbulence in fluids is an ubiquitous phenomenon, characterized by spontaneous transition of a smooth, laminar flow to rapidly changing, chaotic dynamics. In 1883, Reynolds experim…
Creation of turbulence in polyatomic gas flow via an intermolecular potential
Rafail V. Abramov
We develop a tractable interaction model for a polyatomic gas, whose kinetic equation combines a Vlasov-type mean field forcing due to an intermolecular potential, and a Boltzmann-…
Turbulence in large scale two-dimensional balanced hard sphere gas flow
Rafail V. Abramov
In recent works we developed a model of balanced gas flow where the momentum equation possesses an additional mean field forcing term, which originates from the hard sphere interac…
Macroscopic turbulent flow via hard sphere potential
Rafail V. Abramov
In recent works, we proposed a hypothesis that the turbulence in gases could be produced by particles interacting via a potential, and examined the proposed mechanics of turbulence…
Formation of turbulence via an interaction potential
Rafail V. Abramov
In a recent work, we proposed a hypothesis that the turbulence in gases could be produced by particles interacting via a potential - for example, the interatomic potential at short…
Turbulent energy spectrum via an interaction potential
Rafail V. Abramov
For a large system of identical particles interacting by means of a potential, we find that a strong large scale flow velocity can induce motions in the inertial range via the pote…
A theory of average response to large jump perturbations
Rafail V. Abramov
A key feature of the classical Fluctuation Dissipation theorem is its ability to approximate the average response of a dynamical system to a sufficiently small external perturbatio…
The effect of the Enskog collision terms on the steady shock structure in a hard sphere gas
Rafail V. Abramov
In this work we study the effect of the Enskog collision terms on the steady shock transitions in the supersonic flow of a hard sphere gas. We start by examining one-dimensional, n…
The random gas of hard spheres
Rafail V. Abramov
The inconsistency between the time-reversible Liouville equation and time-irreversible Boltzmann equation has been pointed out long ago by Loschmidt. To avoid Loschmidt's objection…
A mass diffusion effect in gas dynamics equations
Rafail V. Abramov
In the current work we propose a theory for an additional mass diffusion effect in the conventional gas dynamics equations. We find that this effect appears as a homogenization tim…
Nonequilibrium diffusive gas dynamics: Poiseuille microflow
Rafail V. Abramov, Jasmine T. Otto
We test the recently developed hierarchy of diffusive moment closures for gas dynamics together with the near-wall viscosity scaling on the Poiseuille flow of argon and nitrogen in…
Gas near a wall: a shortened mean free path, reduced viscosity, and the manifestation of a turbulent Knudsen layer in the Navier-Stokes solution of a shear flow
Rafail V. Abramov
For the gas near a solid planar wall, we propose a scaling formula for the mean free path of a molecule as a function of the distance from the wall, under the assumption of a unifo…
Leading order response of statistical averages of a dynamical system to small stochastic perturbations
Rafail V. Abramov
The classical fluctuation-dissipation theorem predicts the average response of a dynamical system to an external deterministic perturbation via time-lagged statistical correlation…
Diffusive Boltzmann equation, its fluid dynamics, Couette flow and Knudsen layers
Rafail V. Abramov
In the current work we construct a multimolecule random process which leads to the Boltzmann equation in the appropriate limit, and which is different from the deterministic real g…
Coarse-grained transport of a turbulent flow via moments of the Reynolds-averaged Boltzmann equation
Rafail V. Abramov
Here we introduce new coarse-grained variables for a turbulent flow in the form of moments of its Reynolds-averaged Boltzmann equation. With the exception of the collision moments,…
Linear response of the Lyapunov exponent to a small constant perturbation
Rafail V. Abramov
In the current work we demonstrate the principal possibility of prediction of the response of the largest Lyapunov exponent of a chaotic dynamical system to a small constant forcin…
The response of reduced models of multiscale dynamics to small external perturbations
Rafail V. Abramov, Marc P. Kjerland
In real-world geophysical applications (such as predicting the climate change), the reduced models of real-world complex multiscale dynamics are used to predict the response of the…
A simple stochastic parameterization for reduced models of multiscale dynamics
Rafail V. Abramov
Multiscale dynamics are frequently present in real-world processes, such as the atmosphere-ocean and climate science. Because of time scale separation between a small set of slowly…
A simple closure approximation for slow dynamics of a multiscale system: nonlinear and multiplicative coupling
Rafail V. Abramov
Multiscale dynamics are ubiquitous in applications of modern science. Because of time scale separation between relatively small set of slowly evolving variables and (typically) muc…
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
Rafail V. Abramov
Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer sl…