In the investigation carried out, the superconducting nanotube paraconductivity calculation algor... more In the investigation carried out, the superconducting nanotube paraconductivity calculation algorithm is defined more precisely. Comment: 4 pages, 0 figures. Submitted to the Izvestiya VUZov. Fizika (Russian Physics Journal)
Investigating the interaction of electrons in a superconductor by means of a method of solitary w... more Investigating the interaction of electrons in a superconductor by means of a method of solitary waves of Korteweg - de Vries, we refute the claim of absence of "Cooper pairs" in a superconductor. We also indicate that the nondissipative transfer of energy in the superconductor is possible only with the help of a pair of electrons.
Investigating the interaction of electrons in a superconductor by means of a method of solitary w... more Investigating the interaction of electrons in a superconductor by means of a method of solitary waves of Korteweg - de Vries, we refute the claim of absence of "Cooper pairs" in a superconductor. We also indicate that the nondissipative transfer of energy in the superconductor is possible only with the help of a pair of electrons.
In this article the Ginzburg-Landau theory ideas are considered in their application to the descr... more In this article the Ginzburg-Landau theory ideas are considered in their application to the description of fluctuations influence on the superfluid density in superconductor. The conclusion about the availability of two incompatible mathematical definitions of the superfluid density is made. That is why, it is suggested not to consider the fluctuating part of order parameter, while calculating the superconductor thermodynamical characteristics in the Mean Field Approximation. Comment: 5 pages, 0 figures
The Ginzburg - Landau theory is used for the superconducting structures free energy fluctuations ... more The Ginzburg - Landau theory is used for the superconducting structures free energy fluctuations study. On its basis, we have defined the value of the heat capacity jump in the macroscopic zero-dimensional sample and in the zero-dimensional microstructures ensemble of the total volume equal to the macroscopic sample volume. The inference is made that in the Ginzburg - Landau methodology frameworks, it is essential to take into account the superconducting clean sample effective dimensionality only on the last stage of its thermodynamical characteristics calculation. Comment: 4 pages, 0 figures
We consider the problem important for the condensed matter physics, superconductivity physics, an... more We consider the problem important for the condensed matter physics, superconductivity physics, and electrodynamics of continuous media - the problem of the matter dielectric permittivity possible values spectrum definition. Two ways of the dielectric permittivity values spectrum identification are analyzed. The proposed technique allows the author to complete the universal criterion of stability identified by D. A. Kirzhnits for a system of charged particles by the criterion of stability for a superconducting system of charged particles. Comment: 9 pages, 0 figures
Superconducting nanodrop model is constructed on the basis of the assumption of equality of the f... more Superconducting nanodrop model is constructed on the basis of the assumption of equality of the free energy functional gradient term to zero due to the order parameter value constancy in the superconducting nanodrop volume. In the investigation, we have defined the superconducting nanodrop thermodynamical characteristics: partition function, the magnitudes of the jumps in entropy and specific heat at the second order phase transition, total energy, energy fluctuation, specific heat, free energy, and entropy. Comment: 10 pages, 0 figures. Submitted to the Izvestiya VUZov. Fizika (Russian Physics Journal)
In this paper, we propose to draw attention to the stability criterion of the superconductor curr... more In this paper, we propose to draw attention to the stability criterion of the superconductor current state. We use for this purpose the rough systems mathematical apparatus allowing us to relate the desired criterion with the dielectric permittivity of the matter and to identify the type of all possible phonons trajectories in its superconducting state. The state of superconductivity in the matter can be explained only by the phonons behavior peculiarity. And on the basis of the above-mentioned assumption, the corresponding mathematical model is constructed. Comment: 9 pages, 0 figures
Langevin forces are investigated in the framework of the phenomenological Ginzburg-Landau (GL) th... more Langevin forces are investigated in the framework of the phenomenological Ginzburg-Landau (GL) theory. These stochastic forces introducted in the time-dependent Ginzburg-Landau (TDGL) equation describing the superconductor transport properties above the critical temperature model the fluctuations action. We assume that there exists a profound connection between the fluctuation Cooper pair energy spectrum and the Langevin forces possible values spectrum. In investigation carried out on the basis of that hypothesis we obtain the analytical expression for Langevin forces defining them by means of order parameter, i.e., by means of the fluctuation Cooper pair wave function. Langevin forces properties are analyzed. The conlusion about their complex nature is done. Asymptotic analysis of Langevin forces is performed.
ABSTRACT In this work a low-energy electron beam is used to irradiate mixtures of nitrogen and me... more ABSTRACT In this work a low-energy electron beam is used to irradiate mixtures of nitrogen and methane in helium droplets. The formation of heterogeneous ionic species due to ionization is observed and the corresponding chemical structures and binding energies are calculated. Formation of a CN bond in CH3N2+ is shown computationally, which indicates the possibility of synthesis of true chemical bonds. The formation of CN bonds in organic molecules is of relevance for understanding atmospheric chemistry, for example in Titan's atmosphere.
In the investigation carried out, the superconducting nanotube paraconductivity calculation algor... more In the investigation carried out, the superconducting nanotube paraconductivity calculation algorithm is defined more precisely. Comment: 4 pages, 0 figures. Submitted to the Izvestiya VUZov. Fizika (Russian Physics Journal)
Investigating the interaction of electrons in a superconductor by means of a method of solitary w... more Investigating the interaction of electrons in a superconductor by means of a method of solitary waves of Korteweg - de Vries, we refute the claim of absence of "Cooper pairs" in a superconductor. We also indicate that the nondissipative transfer of energy in the superconductor is possible only with the help of a pair of electrons.
Investigating the interaction of electrons in a superconductor by means of a method of solitary w... more Investigating the interaction of electrons in a superconductor by means of a method of solitary waves of Korteweg - de Vries, we refute the claim of absence of "Cooper pairs" in a superconductor. We also indicate that the nondissipative transfer of energy in the superconductor is possible only with the help of a pair of electrons.
In this article the Ginzburg-Landau theory ideas are considered in their application to the descr... more In this article the Ginzburg-Landau theory ideas are considered in their application to the description of fluctuations influence on the superfluid density in superconductor. The conclusion about the availability of two incompatible mathematical definitions of the superfluid density is made. That is why, it is suggested not to consider the fluctuating part of order parameter, while calculating the superconductor thermodynamical characteristics in the Mean Field Approximation. Comment: 5 pages, 0 figures
The Ginzburg - Landau theory is used for the superconducting structures free energy fluctuations ... more The Ginzburg - Landau theory is used for the superconducting structures free energy fluctuations study. On its basis, we have defined the value of the heat capacity jump in the macroscopic zero-dimensional sample and in the zero-dimensional microstructures ensemble of the total volume equal to the macroscopic sample volume. The inference is made that in the Ginzburg - Landau methodology frameworks, it is essential to take into account the superconducting clean sample effective dimensionality only on the last stage of its thermodynamical characteristics calculation. Comment: 4 pages, 0 figures
We consider the problem important for the condensed matter physics, superconductivity physics, an... more We consider the problem important for the condensed matter physics, superconductivity physics, and electrodynamics of continuous media - the problem of the matter dielectric permittivity possible values spectrum definition. Two ways of the dielectric permittivity values spectrum identification are analyzed. The proposed technique allows the author to complete the universal criterion of stability identified by D. A. Kirzhnits for a system of charged particles by the criterion of stability for a superconducting system of charged particles. Comment: 9 pages, 0 figures
Superconducting nanodrop model is constructed on the basis of the assumption of equality of the f... more Superconducting nanodrop model is constructed on the basis of the assumption of equality of the free energy functional gradient term to zero due to the order parameter value constancy in the superconducting nanodrop volume. In the investigation, we have defined the superconducting nanodrop thermodynamical characteristics: partition function, the magnitudes of the jumps in entropy and specific heat at the second order phase transition, total energy, energy fluctuation, specific heat, free energy, and entropy. Comment: 10 pages, 0 figures. Submitted to the Izvestiya VUZov. Fizika (Russian Physics Journal)
In this paper, we propose to draw attention to the stability criterion of the superconductor curr... more In this paper, we propose to draw attention to the stability criterion of the superconductor current state. We use for this purpose the rough systems mathematical apparatus allowing us to relate the desired criterion with the dielectric permittivity of the matter and to identify the type of all possible phonons trajectories in its superconducting state. The state of superconductivity in the matter can be explained only by the phonons behavior peculiarity. And on the basis of the above-mentioned assumption, the corresponding mathematical model is constructed. Comment: 9 pages, 0 figures
Langevin forces are investigated in the framework of the phenomenological Ginzburg-Landau (GL) th... more Langevin forces are investigated in the framework of the phenomenological Ginzburg-Landau (GL) theory. These stochastic forces introducted in the time-dependent Ginzburg-Landau (TDGL) equation describing the superconductor transport properties above the critical temperature model the fluctuations action. We assume that there exists a profound connection between the fluctuation Cooper pair energy spectrum and the Langevin forces possible values spectrum. In investigation carried out on the basis of that hypothesis we obtain the analytical expression for Langevin forces defining them by means of order parameter, i.e., by means of the fluctuation Cooper pair wave function. Langevin forces properties are analyzed. The conlusion about their complex nature is done. Asymptotic analysis of Langevin forces is performed.
ABSTRACT In this work a low-energy electron beam is used to irradiate mixtures of nitrogen and me... more ABSTRACT In this work a low-energy electron beam is used to irradiate mixtures of nitrogen and methane in helium droplets. The formation of heterogeneous ionic species due to ionization is observed and the corresponding chemical structures and binding energies are calculated. Formation of a CN bond in CH3N2+ is shown computationally, which indicates the possibility of synthesis of true chemical bonds. The formation of CN bonds in organic molecules is of relevance for understanding atmospheric chemistry, for example in Titan's atmosphere.
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Papers by Iogann Tolbatov