Imre Ferenc Barna
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View article: Can rotation solve the Hubble Puzzle?
Can rotation solve the Hubble Puzzle? Open
The discrepancy between low and high redshift Hubble constant $H_0$ measurements is the highest significance tension within the concordance Lambda cold dark matter paradigm. If not due to unknown systematics, the Hubble Puzzle suggests a l…
View article: Analytical and numerical study of diffusion propelled surface growth phenomena
Analytical and numerical study of diffusion propelled surface growth phenomena Open
To understand the complex problem of surface growth phenomena, we developed a model in which the regular diffusion equation is coupled to the Kardar–Parisi–Zhang (KPZ) equation. The fundamental or Gaussian solution of the regular diffusion…
View article: Review of: "Angle Trisection with Growth Rate of The Golden Ratio"
Review of: "Angle Trisection with Growth Rate of The Golden Ratio" Open
View article: Analytic Solutions of the Complex Diffusion Equation with
Possible Quantum Mechanical Relevance
Analytic Solutions of the Complex Diffusion Equation with
Possible Quantum Mechanical Relevance Open
In our latest studies with the help of the self-similar Ansatz we derived new type of 1
solutions for the regular diffusion equation which are much more complex than the well-known 2
Gaussian and error functions. These solutions contain …
View article: Analytical investigation of time-dependent two-dimensional non-Newtonian boundary layer equations
Analytical investigation of time-dependent two-dimensional non-Newtonian boundary layer equations Open
In this study, five different time-dependent incompressible non-Newtonian boundary layer models in two dimensions are investigated, including external magnetic field effects. The power law, the Casson fluid, the Oldroyd-B model, the Walter…
View article: Analytic solutions for irregular diffusion equations with concentration dependent diffusion coefficients
Analytic solutions for irregular diffusion equations with concentration dependent diffusion coefficients Open
We investigate diffusion equations which have concentration dependent diffusion coefficients with physically two relevant Ansätze, the self-similar and the traveling wave Ansatz. We found that for power-law concentration dependence some of…
View article: Diatomic molecule in a strong infrared laser field: level-shifts and bond-length change due to laser-dressed Morse potential
Diatomic molecule in a strong infrared laser field: level-shifts and bond-length change due to laser-dressed Morse potential Open
We present a general mathematical procedure to handle interactions described by a Morse potential in the presence of a strong harmonic excitation. We account for permanent and field-induced terms and their gradients in the dipole moment fu…
View article: The Formulation of Scaling Expansion in an Euler-Poisson Dark-fluid Model
The Formulation of Scaling Expansion in an Euler-Poisson Dark-fluid Model Open
We present a dark fluid model described as a non-viscous, non-relativistic, rotating, and self-gravitating fluid. We assumed that the system has spherical symmetry and the matter can be described with the polytropic equation of state. The …
View article: Machine learning methods for schlieren imaging of a plasma channel in tenuous atomic vapor
Machine learning methods for schlieren imaging of a plasma channel in tenuous atomic vapor Open
We investigate the usage of a Schlieren imaging setup to measure the geometrical dimensions of a plasma channel in atomic vapor. Near resonant probe light is used to image the plasma channel in a tenuous vapor and machine learning techniqu…
View article: Machine learning methods for Schlieren imaging of a plasma channel in tenuous atomic vapor
Machine learning methods for Schlieren imaging of a plasma channel in tenuous atomic vapor Open
We investigate the usage of a Schlieren imaging setup to measure the geometrical dimensions of a plasma channel in atomic vapor. Near resonant probe light is used to image the plasma channel in a tenuous vapor and machine learning techniqu…
View article: Advanced self-similar solutions of regular and irregular diffusion equations
Advanced self-similar solutions of regular and irregular diffusion equations Open
We study the diffusion equation with an appropriate change of variables. This equation is in general a partial differential equation (PDE). With the self-similar and related Ansatätze we transform the PDE of diffusion to an ordinary differ…
View article: A fűtött határréteget leíró egyenletrendszer önhasonló megoldásai
A fűtött határréteget leíró egyenletrendszer önhasonló megoldásai Open
View article: Advanced Self-Similar Solutions of Regular and Irregular Diffusion Equations
Advanced Self-Similar Solutions of Regular and Irregular Diffusion Equations Open
View article: Evaluation of Major and Trace Elements Present in Extracted Humic Acid from Bog Peat
Evaluation of Major and Trace Elements Present in Extracted Humic Acid from Bog Peat Open
The human consumption of humic acid is increasingly relevant therefore the knowledge of exact composition is essential. To make a step in that direction we present gap filling results obtained from three different element analytical invest…
View article: ANALYTIC SOLUTIONS OF A TWO-FLUID HYDRODYNAMIC MODEL
ANALYTIC SOLUTIONS OF A TWO-FLUID HYDRODYNAMIC MODEL Open
We investigate a one dimensional flow described with the non-compressible coupled Euler and non-compressible Navier-Stokes equations in the Cartesian coordinate system. We couple the two fluids through the continuity equation where differe…
View article: General self-similar solutions of diffusion equation and related constructions
General self-similar solutions of diffusion equation and related constructions Open
Transport phenomena plays an important role in science and technology. In the wide variety of applications both advection and diffusion may appear. Regarding diffusion, for long times, different type of decay rates are possible for differe…
View article: Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction
Self-similar analysis of the time-dependent compressible and incompressible boundary layers including heat conduction Open
We investigate the incompressible and compressible heat conducting boundary layer with applying the two-dimensional self-similar Ansatz. Analytic solutions can be found for the incompressible case which can be expressed with special functi…
View article: Erratum to: EuPRAXIA Conceptual Design Report
Erratum to: EuPRAXIA Conceptual Design Report Open
View article: EuPRAXIA Conceptual Design Report
EuPRAXIA Conceptual Design Report Open
View article: Hydrodynamical Evolution of a Self-gravitating Dark-fluid Universe
Hydrodynamical Evolution of a Self-gravitating Dark-fluid Universe Open
We present a dark fluid model which contains the general linear equation of state including the gravitation term. The obtained spherical symmetric Euler equation and the continuity equation was investigated with the Sedov-type time-depende…
View article: Scaling Hydrodynamical Evolution of a Gravitating Dark-fluid Universe
Scaling Hydrodynamical Evolution of a Gravitating Dark-fluid Universe Open
We present a dark fluid model which contains the general linear equation of state including the gravitation term. The obtained spherical symmetric Euler equation and the continuity equation was investigated with the Sedov-type time-depende…
View article: Self-similar analysis for dark fluid hydrodynamics
Self-similar analysis for dark fluid hydrodynamics Open
We investigate the radial symmetric compressible continuity and Euler equation with the stiff matter equation of sate -- which is a candidate for the dark fluid -- using the self-similar Ansatz. We found parameter sets where, the fluid den…
View article: Self-similar analysis of a viscous heated Oberbeck–Boussinesq flow system
Self-similar analysis of a viscous heated Oberbeck–Boussinesq flow system Open
The simplest model to couple the heat conduction and Navier-Stokes equations together is the Oberbeck-Boussinesq(OB)system which were investigated by E.N. Lorenz and opened the paradigm of chaos. In our former studies - Chaos, Solitons and…
View article: Travelling-wave solutions of the Kardar-Parisi-Zhang interface growing equation with different kind of noise terms
Travelling-wave solutions of the Kardar-Parisi-Zhang interface growing equation with different kind of noise terms Open
The Kardar-Parisi-Zhang dynamic interface growth equation with the traveling-wave Ansatz is analyzed for one Carte- sian space dimension. As a new feature the role of additional analytic terms are investigated. From the mathematical point …
View article: Lissajous curves with a finite sum of prime number frequencies
Lissajous curves with a finite sum of prime number frequencies Open
The Ulam spiral inspired us to calculate and present Lissajous curves where the orthogonally added functions are a finite sum of sinus and cosines functions with consecutive prime number frequencies.
View article: Status of the Horizon 2020 EuPRAXIA conceptual design study*
Status of the Horizon 2020 EuPRAXIA conceptual design study* Open
The Horizon 2020 project EuPRAXIA (European Plasma Research Accelerator with eXcellence In Applications) is producing a conceptual design report for a highly compact and cost-effective European facility with multi-GeV electron beams accele…
View article: Role of the laser chirp parameter in photoionisation
Role of the laser chirp parameter in photoionisation Open
Nowadays the development of novel particle accelerators is a hot topic for both experimental and theoretical sciences. In the CERN-AWAKE experiment electrons are accelerated in a cold rubidium plasma, generated by a short, intense laser pu…
View article: Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise term
Analytic self-similar solutions of the Kardar-Parisi-Zhang interface growing equation with various noise term Open
The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the self-similar Ansatz is analyzed. As a new feature additional analytic terms are added. From the mathematical point of view, these can be considered as vario…
View article: Interaction of antiproton with helium based on ab-initio calculations
Interaction of antiproton with helium based on ab-initio calculations Open
We present ionization cross sections for antiproton and helium collisions based on ab-initio time-dependent coupled channel method. In our calculations a finite basis set of regular helium Coulomb wave packets and Slater function were used…
View article: Laser induced distortion of band structure in solids: an analytic model
Laser induced distortion of band structure in solids: an analytic model Open
We consider a spatially periodic (cosine) potential as a model for a\ncrystalline solid that interacts with a harmonically oscillating external\nelectric field. This problem is periodic both in space and time and can be\nsolved analyticall…