[Electronic resource]. - Electronic data (640 Kb)
. - Режим доступа: http://icm.krasn.ru/refextra.php?id=2109. - Электрон. версия печ. публикации . - Режим доступа: http://www.wkap.nl/prod/b/0-306-47401-8 : научное издание / A.N. Gorban, I.V. Karlin. - Electronic data (640 Kb) // Recent Developments in Mathematical and Experimental Physics, Volume C: Hydrodynamics and Dynamical Systems. - Dordrecht : Kluwer, 2002. - p. 19-43
Перевод заглавия: Геометрия необратимости
Аннотация: A general geometrical setting of nonequilibrium thermodynamics is developed. The approach is based on the notion of the natural projection which generalizes Ehrenfests' coarse-graining. It is demonstrated how derivations of irreversible macroscopic dynamics from the microscopic theories can be addressed through a study of stability of quasiequilibrium manifolds.
http://icm.krasn.ru/refextra.php?id=2109,
http://www.wkap.nl/prod/b/0-306-47401-8
Доп.точки доступа:
Karlin, I.V.; Карлин, Илья Вениаминович; Горбань, Александр Николаевич
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Найдено документов в текущей БД: 7
The Simplest Model of Targeted Migration
[Текст] : статья / M. G. Sadovsky // Journal of Siberian Federal University. Mathematics & Physics = Журнал Сибирского федерального университета. Математика и физика. - 2012. - Т. 5, № 1. - С. 3-17
Кл.слова (ненормированные):
optimality -- selection -- projection -- maximization -- stability -- information
Аннотация: A simple model of targeted migration is studied. The model implies the global information access of the beings migrating from station to station. This approximation yields a special class of models which generater a semi-group. Various dynamic regimes, as well as the stability conditions are studied. Some further expansions of the modelling based on evolution optimality principle are considered.
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Садовский, Михаил Георгиевич
Кл.слова (ненормированные):
optimality -- selection -- projection -- maximization -- stability -- information
Аннотация: A simple model of targeted migration is studied. The model implies the global information access of the beings migrating from station to station. This approximation yields a special class of models which generater a semi-group. Various dynamic regimes, as well as the stability conditions are studied. Some further expansions of the modelling based on evolution optimality principle are considered.
Полный текст
Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44
Доп.точки доступа:
Садовский, Михаил Георгиевич
A 2.5-D electron Hall-MHD analytical model of steady state Hall magnetic reconnection in a compressible plasma
[Text] / D. B. Korovinskiy [et al.] // J. Geophys. Res-Space Phys. - 2011. - Vol. 116. - Ст. A05219, DOI 10.1029/2010JA015942. - Cited References: 45. - This work is supported by the Austrian Science Fund under projects I193-N16 and P21051-N16, by RFBR grant 09-05-91000-ANF-a, and by SPSU grant 11.38.47.2011. V. S. Semenov also thanks ISSI for hospitality and financial support.
. - ISSN 2169-9380
РУБ Astronomy & Astrophysics
Аннотация: A 2.5-D analytical electron Hall magnetohydrodynamic model of steady state magnetic reconnection in a collisionless compressible plasma with a constant electron temperature is developed. It is shown that as in the incompressible case, the solution of the Grad-Shafranov equation for the magnetic potential is a basis for the problem analysis. The formation of the double electric layers and layers of low-density plasma, mapping the magnetic separatrices, are investigated. It is found that the formation of depletion layers should not be governed by the out-of-plane magnetic field, but rather, the origin of these layers lies inside the electron diffusion region. The double electric layers are found to be thin separatrices-elongated sheets, whose cross sections are of the order of the electron diffusion region half width. These charged layers provide the presence of the strong electric field orthogonal to the in-plane projection of the magnetic field, which forces electrons to accelerate into the out-of-plane direction. Outside of the double electric layers, the condition of quasi-neutrality of the plasma is found to be fulfilled to high accuracy.
Доп.точки доступа:
Korovinskiy, D.B.; Semenov, V.S.; Erkaev, N.V.; Еркаев, Николай Васильевич; Divin, A.V.; Biernat, H.K.; Mostl, U.V.
Рубрики:
COLLISIONLESS RECONNECTION
CURRENT SHEET
CURRENT SYSTEM
FIELD
MAGNETOTAIL
REGION
ACCELERATION
DISSIPATION
CHALLENGE
CLUSTER
COLLISIONLESS RECONNECTION
CURRENT SHEET
CURRENT SYSTEM
FIELD
MAGNETOTAIL
REGION
ACCELERATION
DISSIPATION
CHALLENGE
CLUSTER
Аннотация: A 2.5-D analytical electron Hall magnetohydrodynamic model of steady state magnetic reconnection in a collisionless compressible plasma with a constant electron temperature is developed. It is shown that as in the incompressible case, the solution of the Grad-Shafranov equation for the magnetic potential is a basis for the problem analysis. The formation of the double electric layers and layers of low-density plasma, mapping the magnetic separatrices, are investigated. It is found that the formation of depletion layers should not be governed by the out-of-plane magnetic field, but rather, the origin of these layers lies inside the electron diffusion region. The double electric layers are found to be thin separatrices-elongated sheets, whose cross sections are of the order of the electron diffusion region half width. These charged layers provide the presence of the strong electric field orthogonal to the in-plane projection of the magnetic field, which forces electrons to accelerate into the out-of-plane direction. Outside of the double electric layers, the condition of quasi-neutrality of the plasma is found to be fulfilled to high accuracy.
Доп.точки доступа:
Korovinskiy, D.B.; Semenov, V.S.; Erkaev, N.V.; Еркаев, Николай Васильевич; Divin, A.V.; Biernat, H.K.; Mostl, U.V.
Chloroplast genomes exhibit eight-cluster structuredness and mirror symmetry
/ M. Sadovsky, M. Senashova, A. Malyshev // (25 April 2018 through 27 April 2018 : Springer Verlag, 2018. - Vol. 10813 LNBI. - P186-196, DOI 10.1007/978-3-319-78723-7_16
. -
Кл.слова (ненормированные):
K-means -- Order -- Probability -- Projection -- Symmetry -- Triplet -- Bioinformatics -- Biomedical engineering -- Crystal symmetry -- Probability -- Chloroplast genome -- Frequency spaces -- K-means -- Mirror symmetry -- Order -- Projection -- Triplet -- Typical structures -- Genes
Аннотация: Chloroplast genomes have eight-cluster structuredness, in triplet frequency space. Small fragments of a genome converted into a triplet frequency dictionaries are the elements to be clustered. Typical structure consists of eight clusters: six of them correspond to three different positions of a reading frame shifted for 0, 1 and 2 nucleotides (in two opposing strands), the seventh cluster corresponds to a junk regions of a genome, and the eighth cluster is comprised by the fragments with excessive GC-content bearing specific RNA genes. The structure exhibits a specific symmetry. © 2018, Springer International Publishing AG, part of Springer Nature.
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Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk, Russian Federation
Institute of Fundamental Biology and Biotechnology, Siberian Federal University, Svobodny Prospect, 79, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovsky, M.; Senashova, M.; Malyshev, A.
Кл.слова (ненормированные):
K-means -- Order -- Probability -- Projection -- Symmetry -- Triplet -- Bioinformatics -- Biomedical engineering -- Crystal symmetry -- Probability -- Chloroplast genome -- Frequency spaces -- K-means -- Mirror symmetry -- Order -- Projection -- Triplet -- Typical structures -- Genes
Аннотация: Chloroplast genomes have eight-cluster structuredness, in triplet frequency space. Small fragments of a genome converted into a triplet frequency dictionaries are the elements to be clustered. Typical structure consists of eight clusters: six of them correspond to three different positions of a reading frame shifted for 0, 1 and 2 nucleotides (in two opposing strands), the seventh cluster corresponds to a junk regions of a genome, and the eighth cluster is comprised by the fragments with excessive GC-content bearing specific RNA genes. The structure exhibits a specific symmetry. © 2018, Springer International Publishing AG, part of Springer Nature.
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Смотреть статью
Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk, Russian Federation
Institute of Fundamental Biology and Biotechnology, Siberian Federal University, Svobodny Prospect, 79, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Sadovsky, M.; Senashova, M.; Malyshev, A.
Triplet Frequencies Implementation in Total Transcriptome Analysis
/ M. Sadovsky, T. Guseva, V. Biriukov // (8 May 2019 through 10 May 2019 : Springer Verlag, 2019. - Vol. 11465 LNBI. - P370-378, DOI 10.1007/978-3-030-17938-0_33
. -
Кл.слова (ненормированные):
Clustering -- Order -- Probability -- Projection -- Symmetry -- Triplet -- Bioinformatics -- Biomedical engineering -- Crystal symmetry -- Probability -- Clustering -- Mutual entropy -- Order -- Projection -- Tissue specificity -- Tissue specifics -- Transcriptome analysis -- Triplet -- Tissue
Аннотация: We studied the structuredness inA total transcriptome of Siberian larch. To do that, the contigs from total transcriptome has been labeled with the reads comprising the tissue specific transcriptomes, and the distribution of the contigs from the total transcriptome has been developed with respect to the mutual entropy of the frequencies of occurrence of reads from tissue specific transcriptomes. It was found that a number of contigs contain comparable amounts of reads from different tissues, so the chimeric transcripts to be extremely abundant. On the contrary, the transcripts with high tissue specificity do not yield a reliable clustering revealing the tissue specificity. This fact makes usage of total transcriptome for the purposes of differential expression arguable. © 2019, Springer Nature Switzerland AG.
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РИНЦ
Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Institute of Fundamental Biology and Biotechnology, Siberian Federal University, Svobodny prosp., 79, Krasnoyarsk, 660049, Russian Federation
Доп.точки доступа:
Sadovsky, M.; Guseva, T.; Biriukov, V.
Кл.слова (ненормированные):
Clustering -- Order -- Probability -- Projection -- Symmetry -- Triplet -- Bioinformatics -- Biomedical engineering -- Crystal symmetry -- Probability -- Clustering -- Mutual entropy -- Order -- Projection -- Tissue specificity -- Tissue specifics -- Transcriptome analysis -- Triplet -- Tissue
Аннотация: We studied the structuredness inA total transcriptome of Siberian larch. To do that, the contigs from total transcriptome has been labeled with the reads comprising the tissue specific transcriptomes, and the distribution of the contigs from the total transcriptome has been developed with respect to the mutual entropy of the frequencies of occurrence of reads from tissue specific transcriptomes. It was found that a number of contigs contain comparable amounts of reads from different tissues, so the chimeric transcripts to be extremely abundant. On the contrary, the transcripts with high tissue specificity do not yield a reliable clustering revealing the tissue specificity. This fact makes usage of total transcriptome for the purposes of differential expression arguable. © 2019, Springer Nature Switzerland AG.
Scopus,
Смотреть статью,
РИНЦ
Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Institute of Fundamental Biology and Biotechnology, Siberian Federal University, Svobodny prosp., 79, Krasnoyarsk, 660049, Russian Federation
Доп.точки доступа:
Sadovsky, M.; Guseva, T.; Biriukov, V.
Non-Coding Regions of Chloroplast Genomes Exhibit a Structuredness of Five Types
/ M. Sadovsky [et al.] // (8 May 2019 through 10 May 2019 : Springer Verlag, 2019. - Vol. 11465 LNBI. - P346-355, DOI 10.1007/978-3-030-17938-0_31
. -
Кл.слова (ненормированные):
Clustering -- Order -- Probability -- Projection -- Symmetry -- Triplet -- Bioinformatics -- Biomedical engineering -- Codes (symbols) -- Crystal symmetry -- Probability -- Chloroplast genome -- Clustering -- Euclidean spaces -- Non-coding region -- Order -- Projection -- Statistical properties -- Triplet -- Genes
Аннотация: We studied the statistical properties of non-coding regions of chloroplast genomes of 391 plants. To do that, each non-coding region has been tiled with a set of overlapping fragments of the same length, and those fragments were transformed into triplet frequency dictionaries. The dictionaries were clustered in 64-dimensional Euclidean space. Five types of the distributions were identified: ball, ball with tail, ball with two tails, lens with tail, and lens with two tails. Besides, the multi-genome distribution has been studied: there are ten species performing an isolated and distant cluster; surprisingly, there is no immediate and simple relation in taxonomy composition of these clusters. © 2019, Springer Nature Switzerland AG.
Scopus,
Смотреть статью,
РИНЦ
Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Institute of Fundamental Biology and Biotechnology, Siberian Federal University, Svobodny prosp., 79, Krasnoyarsk, 660049, Russian Federation
Доп.точки доступа:
Sadovsky, M.; Senashova, M.; Gorban, I.; Gustov, V.
Кл.слова (ненормированные):
Clustering -- Order -- Probability -- Projection -- Symmetry -- Triplet -- Bioinformatics -- Biomedical engineering -- Codes (symbols) -- Crystal symmetry -- Probability -- Chloroplast genome -- Clustering -- Euclidean spaces -- Non-coding region -- Order -- Projection -- Statistical properties -- Triplet -- Genes
Аннотация: We studied the statistical properties of non-coding regions of chloroplast genomes of 391 plants. To do that, each non-coding region has been tiled with a set of overlapping fragments of the same length, and those fragments were transformed into triplet frequency dictionaries. The dictionaries were clustered in 64-dimensional Euclidean space. Five types of the distributions were identified: ball, ball with tail, ball with two tails, lens with tail, and lens with two tails. Besides, the multi-genome distribution has been studied: there are ten species performing an isolated and distant cluster; surprisingly, there is no immediate and simple relation in taxonomy composition of these clusters. © 2019, Springer Nature Switzerland AG.
Scopus,
Смотреть статью,
РИНЦ
Держатели документа:
Institute of Computational Modelling of SB RAS, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Institute of Fundamental Biology and Biotechnology, Siberian Federal University, Svobodny prosp., 79, Krasnoyarsk, 660049, Russian Federation
Доп.точки доступа:
Sadovsky, M.; Senashova, M.; Gorban, I.; Gustov, V.
Identification of the elastic modules of a fibrous composite by solving inverse problems
/ I. E. Petrakov, V. M. Sadovskii // AIP Conference Proceedings : American Institute of Physics Inc., 2019. - Vol. 2164: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019 (20 June 2019 through 25 June 2019, ) Conference code: 153460. - Ст. 090004, DOI 10.1063/1.5130834
. -
Аннотация: Generalized rheological method is used to construct constitutive equations of fiber composite materials with the fibers having high tensile stiffness and low stiffness upon compression. Polymer-based composite reinforced by thin carbon fibers, used in the aerospace industry, was chosen as the material for research. The method for determining the effective moduli of elasticity, based on the analysis of the bending state of a thin rod, was implemented to check the material's moduli. Photos of the bent rod with cantilever bending were processed to obtain a plane projection, and then digitized using computer programs. The deflection data along the rod length was used further in solving the inverse problem of determining flexural stiffness (it was considered constant) using the least squares method. By means of Matlab functions, the problem of minimizing the standard deviation of the calculated deflection from the digitized one was solved on a discrete system of points along the axis of the rod. The deflection was computed by the finite difference method based on the generalized equation of the Euler elastic line which takes into account the flexural stiffness, deformation along the rod, Timoshenko effect (the effect of shear deformation) and Cosserat effect (the effect of independent turns of the reinforcing fibers relative to the matrix). Young's modulus upon tension was measured experimentally using standard technique. Young's modulus upon compression was calculated using the value of flexural stiffness corresponding to the best approximation of calculated deflection to the digitized deflection. As a result, it was shown that the ratio of moduli for the material under consideration is in the range of 50-60% and, if the calculation of flexural stiffness is made with Young's modulus under tension, then it is possible to obtain a relative error in the deflection up to 30% with the increased thickness of the rod. © 2019 Author(s).
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Держатели документа:
Institute of Computational Modeling SB RAS, 50/44 Akademgorodok, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Petrakov, I. E.; Sadovskii, V. M.
Аннотация: Generalized rheological method is used to construct constitutive equations of fiber composite materials with the fibers having high tensile stiffness and low stiffness upon compression. Polymer-based composite reinforced by thin carbon fibers, used in the aerospace industry, was chosen as the material for research. The method for determining the effective moduli of elasticity, based on the analysis of the bending state of a thin rod, was implemented to check the material's moduli. Photos of the bent rod with cantilever bending were processed to obtain a plane projection, and then digitized using computer programs. The deflection data along the rod length was used further in solving the inverse problem of determining flexural stiffness (it was considered constant) using the least squares method. By means of Matlab functions, the problem of minimizing the standard deviation of the calculated deflection from the digitized one was solved on a discrete system of points along the axis of the rod. The deflection was computed by the finite difference method based on the generalized equation of the Euler elastic line which takes into account the flexural stiffness, deformation along the rod, Timoshenko effect (the effect of shear deformation) and Cosserat effect (the effect of independent turns of the reinforcing fibers relative to the matrix). Young's modulus upon tension was measured experimentally using standard technique. Young's modulus upon compression was calculated using the value of flexural stiffness corresponding to the best approximation of calculated deflection to the digitized deflection. As a result, it was shown that the ratio of moduli for the material under consideration is in the range of 50-60% and, if the calculation of flexural stiffness is made with Young's modulus under tension, then it is possible to obtain a relative error in the deflection up to 30% with the increased thickness of the rod. © 2019 Author(s).
Scopus,
Смотреть статью
Держатели документа:
Institute of Computational Modeling SB RAS, 50/44 Akademgorodok, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Petrakov, I. E.; Sadovskii, V. M.