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Journal articles on the topic 'One-dimensional and three-dimensional theory'

Author: Grafiati

Published: 30 May 2022

Last updated: 31 May 2022

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1

Kinjo, A. R., and K. Nishikawa. "Recoverable one-dimensional encoding of three-dimensional protein structures." Bioinformatics 21, no. 10 (February 18, 2005): 2167–70. http://dx.doi.org/10.1093/bioinformatics/bti330.

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2

McKeon, D. G. C. "A three-dimensional gauge theory." Canadian Journal of Physics 70, no. 5 (May 1, 1992): 301–4. http://dx.doi.org/10.1139/p92-049.

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We investigate a three-dimensional gauge theory modeled on Chern–Simons theory. The Lagrangian is most compactly written in terms of a two-index tensor that can be decomposed into fields with spins zero, one, and two. These all mix under the gauge transformation. The background-field method of quantization is used in conjunction with operator regularization to compute the real part of the two-point function for the scalar field.

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3

Banach, Zbigniew, and Wieslaw Larecki. "One-dimensional maximum entropy radiation hydrodynamics: three-moment theory." Journal of Physics A: Mathematical and Theoretical 45, no. 38 (September 5, 2012): 385501. http://dx.doi.org/10.1088/1751-8113/45/38/385501.

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4

Gladkov, S. O. "Theory of one-dimensional and quasi-one-dimensional heat conduction." Technical Physics 42, no. 7 (July 1997): 724–27. http://dx.doi.org/10.1134/1.1258707.

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5

Le, K. C. "Three-dimensional continuum dislocation theory." International Journal of Plasticity 76 (January 2016): 213–30. http://dx.doi.org/10.1016/j.ijplas.2015.07.008.

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6

Emanuel, G., and S. Mölder. "Three-dimensional curved shock theory." Shock Waves 32, no. 2 (January 29, 2022): 129–46. http://dx.doi.org/10.1007/s00193-021-01040-8.

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7

BRITTON, N. F., and J. WANIEWSKI. "One-Dimensional Theory of Haemofilters." Mathematical Medicine and Biology 4, no. 1 (1987): 59–68. http://dx.doi.org/10.1093/imammb/4.1.59.

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8

Alekseev, Anton, and Pavel Mnëv. "One-Dimensional Chern-Simons Theory." Communications in Mathematical Physics 307, no. 1 (June 29, 2011): 185–227. http://dx.doi.org/10.1007/s00220-011-1290-1.

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9

FRÖHLICH, J., and C. KING. "TWO-DIMENSIONAL CONFORMAL FIELD THEORY AND THREE-DIMENSIONAL TOPOLOGY." International Journal of Modern Physics A 04, no. 20 (December 1989): 5321–99. http://dx.doi.org/10.1142/s0217751x89002296.

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10

Gaiotto, Davide, Gregory W. Moore, and Andrew Neitzke. "Four-Dimensional Wall-Crossing via Three-Dimensional Field Theory." Communications in Mathematical Physics 299, no. 1 (July 1, 2010): 163–224. http://dx.doi.org/10.1007/s00220-010-1071-2.

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11

Loudon, Rodney. "One-dimensional hydrogen atom." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2185 (January 2016): 20150534. http://dx.doi.org/10.1098/rspa.2015.0534.

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The theory of the one-dimensional (1D) hydrogen atom was initiated by a 1952 paper but, after more than 60 years, it remains a topic of debate and controversy. The aim here is a critique of the current status of the theory and its relation to relevant experiments. A 1959 solution of the Schrödinger equation by the use of a cut-off at x = a to remove the singularity at the origin in the 1/| x | form of the potential is clarified and a mistaken approximation is identified. The singular atom is not found in the real world but the theory with cut-off has been applied successfully to a range of four practical three-dimensional systems confined towards one dimension, particularly their observed large increases in ground state binding energy. The true 1D atom is in principle restored when the short distance a tends to zero but it is sometimes claimed that the solutions obtained by the limiting procedure differ from those obtained by solution of the basic Schrödinger equation without any cut-off in the potential. The treatment of the singularity by a limiting procedure for applications to practical systems is endorsed.

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12

Daily, Marilyn. "L∞Structures on Spaces with Three One-Dimensional Components." Communications in Algebra 32, no. 5 (December 31, 2004): 2041–59. http://dx.doi.org/10.1081/agb-120029922.

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13

Badrideen, Ahmed. "‘One-Dimensional Man’." Orbis Litterarum 72, no. 6 (November 1, 2017): 443–63. http://dx.doi.org/10.1111/oli.12137.

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14

PERRET, R. E. C. "THREE-DIMENSIONAL FIELD THEORIES FROM INFINITE-DIMENSIONAL LIE ALGEBRAS." International Journal of Modern Physics A 09, no. 23 (September 20, 1994): 4063–76. http://dx.doi.org/10.1142/s0217751x94001643.

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A procedure for constructing topological actions from centrally extended Lie algebras is introduced. For a Kac–Moody algebra, this produces the three-dimensional Chern–Simons theory, while for the Virasoro algebra, the result is a new three-dimensional topological field theory whose physical states satisfy the Virasoro Ward identity. This topological field theory is shown to be a first order formulation of two-dimensional induced gravity in the chiral gauge. The extension to W3 gravity is discussed.

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15

Yilbas, B. S., and M. Sami. "Three-dimensional kinetic theory approach for laser pulse heating." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 213, no. 5 (May 1, 1999): 491–506. http://dx.doi.org/10.1243/0954406991522725.

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Lasers are widely used as a machine tool in the metal industry. One of the important areas of laser application is surface treatment of engineering metals. To improve the process parameters in the laser heating process, an exploration of the heating mechanism is fruitful. The present study is carried out to develop a three-dimensional model for a laser pulsed heating process using the electron kinetic theory approach. The heating model introduced relies on successive electronphonon collisions; therefore, it is this process that describes the heat conduction mechanism. This study is limited to heat conduction only. Consequently, the phase change process is not taken into account. To validate the theoretical predictions, an experiment is conducted to measure the surface temperature using an optical method. Moreover, a one-dimensional heating model developed previously is also considered and the predictions of three- and one-dimensional heating models as well as experimental results are compared. It is found that the three-dimensional model gives lower surface temperatures compared with the one-dimensional model considered. However, experimental results agree well with the results obtained from the three-dimensional model. In addition, an equilibrium time is introduced. In that case, energy gain of electrons via incident beam absorption balances the energy losses due to conduction through successive electron-phonon collisions.

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16

Marek, Wiktor, and Zdzisław Pawlak. "One-Dimensional Learning." Fundamenta Informaticae 8, no. 1 (January 1, 1985): 83–88. http://dx.doi.org/10.3233/fi-1985-8107.

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17

Gimarc, Benjamin M., and Ming Zhao. "Three-Dimensional Hückel Theory forcloso-Carboranes." Inorganic Chemistry 35, no. 4 (January 1996): 825–34. http://dx.doi.org/10.1021/ic9506668.

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18

Marques, Ricardo, Manuel J. Freire, and Juan D. Baena. "Theory of three-dimensional subdiffraction imaging." Applied Physics Letters 89, no. 21 (November 20, 2006): 211113. http://dx.doi.org/10.1063/1.2397022.

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19

Fosshage, James L. "Discussion of “Three Dimensional Field Theory”." Psychoanalytic Dialogues 28, no. 4 (July 4, 2018): 397–402. http://dx.doi.org/10.1080/10481885.2018.1482129.

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20

Biswas, HR, and MS Islam. "Ergodic theory of one dimensional Map." Bangladesh Journal of Scientific and Industrial Research 47, no. 3 (December 21, 2012): 321–26. http://dx.doi.org/10.3329/bjsir.v47i3.13067.

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In this paper we study one dimensional linear and non-linear maps and its dynamical behavior. We study measure theoretical dynamical behavior of the maps. We study ergodic measure and Birkhoff ergodic theorem. Also, we study some problems using Birkhoff's ergodic theorem. DOI: http://dx.doi.org/10.3329/bjsir.v47i3.13067 Bangladesh J. Sci. Ind. Res. 47(3), 321-326 2012

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21

Borodin, V. A. "Rate theory for one-dimensional diffusion." Physica A: Statistical Mechanics and its Applications 260, no. 3-4 (November 1998): 467–78. http://dx.doi.org/10.1016/s0378-4371(98)00338-0.

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22

Ishikawa, Takuma, and Tadao Ishii. "Theory of One-Dimensional Hopping Conductivity." Progress of Theoretical Physics Supplement 115 (1994): 303–15. http://dx.doi.org/10.1143/ptps.115.303.

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23

Kumar, A. Ramesh, and R. Prabhu. "One Dimensional Topological Quantum Field Theory." Journal of Computer and Mathematical Sciences 10, no. 4 (April 30, 2019): 887–95. http://dx.doi.org/10.29055/jcms/1073.

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24

Martens, M., and T. J. Nowicki. "Ergodic theory of one-dimensional dynamics." IBM Journal of Research and Development 47, no. 1 (January 2003): 67–76. http://dx.doi.org/10.1147/rd.471.0067.

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25

Wang, S., and C. Harvey. "A theory of one-dimensional fracture." Composite Structures 94, no. 2 (January 2012): 758–67. http://dx.doi.org/10.1016/j.compstruct.2011.09.011.

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26

Lange, Adrian, Reinhard Müller, and Ulrich Behn. "Oblique rolls in nematic liquid crystals driven by stochastic fields: one-dimensional theory including the flexoeffect and three-dimensional theory." Zeitschrift für Physik B Condensed Matter 100, no. 3 (December 1997): 477–88. http://dx.doi.org/10.1007/s002570050150.

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27

Clarke, Garry K. C., and Edwin D. Waddington. "A three-dimensional theory of wind pumping." Journal of Glaciology 37, no. 125 (1991): 89–96. http://dx.doi.org/10.1017/s0022143000042830.

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AbstractQuantitative understanding of the processes that couple the lower atmosphere to the upper surface of ice sheets is necessary for interpreting ice-core records. Of special interest are those processes that involve the exchange of energy or atmospheric constituents. One such process, wind pumping, entails both possibilities and provides a possible mechanism for converting atmospheric kinetic energy into a near-surface heat source within the firn layer. The essential idea is that temporal and spatial variations in surface air pressure, resulting from air motion, can diffuse into permeable firn by conventional Darcy flow. Viscous friction between moving air and the solid firn matrix leads to energy dissipation in the firn that is equivalent to a volumetric heat source.Initial theoretical work on wind pumping was aimed at explaining anomalous near-surface temperatures measured at sites on Agassiz Ice Cap, Arctic Canada. A conclusion of this preliminary work was that, under highly favourable conditions, anomalous warming of as much as 2°C was possible. Subsequent efforts to confirm wind-pumping predictions suggest that our initial estimates of the penetration depth for pressure fluctuations were optimistic. These observations point to a deficiency of the initial theoretical formulation — the surface-pressure forcing was assumed to vary temporally, but not spatially. Thus, within the firn there was only a surface-normal component of air flow. The purpose of the present contribution is to advance a three-dimensional theory of wind pumping in which air flow is driven by both spatial and temporal fluctuations in surface pressure. Conclusions of the three-dimensional analysis are that the penetration of pressure fluctuations, and hence the thickness of the zone of frictional interaction between air and permeable firn, is related to both the frequency of the pressure fluctuations and to the spatial coherence length of turbulence cells near the firn surface.

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28

Clarke, Garry K. C., and Edwin D. Waddington. "A three-dimensional theory of wind pumping." Journal of Glaciology 37, no. 125 (1991): 89–96. http://dx.doi.org/10.3189/s0022143000042830.

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AbstractQuantitative understanding of the processes that couple the lower atmosphere to the upper surface of ice sheets is necessary for interpreting ice-core records. Of special interest are those processes that involve the exchange of energy or atmospheric constituents. One such process, wind pumping, entails both possibilities and provides a possible mechanism for converting atmospheric kinetic energy into a near-surface heat source within the firn layer. The essential idea is that temporal and spatial variations in surface air pressure, resulting from air motion, can diffuse into permeable firn by conventional Darcy flow. Viscous friction between moving air and the solid firn matrix leads to energy dissipation in the firn that is equivalent to a volumetric heat source.Initial theoretical work on wind pumping was aimed at explaining anomalous near-surface temperatures measured at sites on Agassiz Ice Cap, Arctic Canada. A conclusion of this preliminary work was that, under highly favourable conditions, anomalous warming of as much as 2°C was possible. Subsequent efforts to confirm wind-pumping predictions suggest that our initial estimates of the penetration depth for pressure fluctuations were optimistic. These observations point to a deficiency of the initial theoretical formulation — the surface-pressure forcing was assumed to vary temporally, but not spatially. Thus, within the firn there was only a surface-normal component of air flow. The purpose of the present contribution is to advance a three-dimensional theory of wind pumping in which air flow is driven by both spatial and temporal fluctuations in surface pressure. Conclusions of the three-dimensional analysis are that the penetration of pressure fluctuations, and hence the thickness of the zone of frictional interaction between air and permeable firn, is related to both the frequency of the pressure fluctuations and to the spatial coherence length of turbulence cells near the firn surface.

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29

Igumnov, Leonid, Andrey Petrov, and Igor Vorobtsov. "One-Dimensional Wave Propagation in a Three Phase Poroelastic Column." Key Engineering Materials 685 (February 2016): 276–79. http://dx.doi.org/10.4028/www.scientific.net/kem.685.276.

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In the present paper, the solution of a finite one-dimensional column with Neumann and Dirichlet boundary conditions are deduced based on the theory of mixture. The solution is obtained in the Laplace domain and the time-step method is chosen to obtain the time domain solution. The material data of Massillion sandstone are used for calculations. The column response to the dynamic loading is examined in terms of displacement, pore water pressure, and pore air pressure.

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30

Dennunzio, Alberto. "From One-dimensional to Two-dimensional Cellular Automata." Fundamenta Informaticae 115, no. 1 (2012): 87–105. http://dx.doi.org/10.3233/fi-2012-642.

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31

Khachaturov, Ruben. "The Theory of Five-Dimensional Toroidal Hyperuniverse in Three-Dimensional Time." Applied Mathematics and Mathematical Physics 1, no. 1 (February 27, 2015): 129–46. http://dx.doi.org/10.18262/ammp.2015.0101-09.

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32

Yamamoto, Arata. "Four-dimensional Yang–Mills theory with a three-dimensional fermion membrane." Physics Letters B 696, no. 3 (January 2011): 305–7. http://dx.doi.org/10.1016/j.physletb.2010.12.063.

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33

Amoretti, A., A. Blasi, N. Maggiore, and N. Magnoli. "Three-dimensional dynamics of four-dimensional topological BF theory with boundary." New Journal of Physics 14, no. 11 (November 9, 2012): 113014. http://dx.doi.org/10.1088/1367-2630/14/11/113014.

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34

Lavrič, Boris, and Marjan Jerman. "Three-Dimensional ℓ-Algebras." Communications in Algebra 37, no. 2 (February 12, 2009): 684–711. http://dx.doi.org/10.1080/00927870802254868.

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35

Iso, Satoshi, Dimitra Karabali, and B. Sakita. "One-dimensional fermions as two-dimensional droplets via Chern-Simons theory." Nuclear Physics B 388, no. 3 (December 1992): 700–714. http://dx.doi.org/10.1016/0550-3213(92)90560-x.

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36

Lawson, Mark V. "One-dimensional Tiling Semigroups." Semigroup Forum 68, no. 2 (February 2004): 159–76. http://dx.doi.org/10.1007/s00233-003-0010-3.

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37

Olberding, Bruce. "One-dimensional stable rings." Journal of Algebra 456 (June 2016): 93–122. http://dx.doi.org/10.1016/j.jalgebra.2016.02.002.

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38

Argentina, M., A. Cohen, Y. Bouret, N. Fraysse, and C. Raufaste. "One-dimensional capillary jumps." Journal of Fluid Mechanics 765 (January 15, 2015): 1–16. http://dx.doi.org/10.1017/jfm.2014.717.

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AbstractIn flows where the ratio of inertia to gravity varies strongly, large variations in the fluid thickness appear and hydraulic jumps arise, as depicted by Rayleigh. We report a new family of hydraulic jumps, where the capillary effects dominate the gravitational acceleration. The Bond number – which measures the importance of gravitational body forces compared to surface tension – must be small in order to observe such objects using capillarity as a driving force. For water, the typical length should be smaller than 3 mm. Nevertheless, for such small scales, solid boundaries induce viscous stresses, which dominate inertia, and capillary jumps should not be described by the inertial shock wave theory that one would deduce from Bélanger or Rayleigh for hydraulic jumps. In order to get rid of viscous shears, we consider Plateau borders, which are the microchannels defined by the merging of three films inside liquid foams, and we show that capillary jumps propagate along these deformable conduits. We derive a simple model that predicts the velocity, geometry and shape of such fronts. A strong analogy with Rayleigh’s description is pointed out. In addition, we carried out experiments on a single Plateau border generated with soap films to observe and characterize these capillary jumps. Our theoretical predictions agree remarkably well with the experimental measurements.

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39

Yilbas, B. S. "Electron kinetic theory approach – one- and three-dimensional heating with pulsed laser." International Journal of Heat and Mass Transfer 44, no. 10 (May 2001): 1925–36. http://dx.doi.org/10.1016/s0017-9310(00)00241-6.

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40

Sozontova, E. A. "ON CHARACTERISTIC PROBLEMS FOR ONE HYPERBOLIC SYSTEM IN THREE-DIMENSIONAL SPACE." Vestnik of Samara University. Natural Science Series 19, no. 6 (June 2, 2017): 74–84. http://dx.doi.org/10.18287/2541-7525-2013-19-6-74-84.

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We consider characteristic problems for a hyperbolic system with three independent variables. Using the Riemann method and theory of integral equations we obtain conditions of one-valued solvability for this problems.

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41

Baker, Wayne E. "Three‐dimensional blockmodels." Journal of Mathematical Sociology 12, no. 2 (August 1986): 191–223. http://dx.doi.org/10.1080/0022250x.1986.9990011.

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42

Guo, Wan Lin, Chongmin She, Jun Hua Zhao, and Bin Zhang. "Advances in Three-Dimensional Fracture Mechanics." Key Engineering Materials 312 (June 2006): 27–34. http://dx.doi.org/10.4028/www.scientific.net/kem.312.27.

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The historical developments of the fracture mechanics from planar theory to threedimensional (3D) theory are reviewed. The two-dimensional (2D) theories of fracture mechanics have been developed perfectly in the past 80 years, and are suitable for some specific cases of engineering applications. However, in the complicated 3D world, the limitation of the 2D fracture theory has become evident with development of the structure toward complication and micromation. In the 1990’s, Guo has proposed the 3D fracture theory with a 3D constraint factor based on the deformation theory and energy theory. The proposed 3D theory can predict accurately the fracture problems for practical and complicated engineering structures with defects, by integrating the 3D theory of fatigue, which has been developed to unify fatigue and fracture. Our efforts to develop the 3D fracture mechanics and the unified theory of 3D fatigue and fracture are summarized, and perspectives for future efforts are outlined.

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43

Triantafyllou, G. S. "Three-Dimensional Flow Patterns in Two-Dimensional Wakes." Journal of Fluids Engineering 114, no. 3 (September 1, 1992): 356–61. http://dx.doi.org/10.1115/1.2910037.

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The development of three-dimensional patterns in the wake of two-dimensional objects is examined from the point of view of hydrodynamic stability. It is first shown that for parallel shear flows, which are homogeneous along their span, the time-asymptotic state of the instability is always two-dimensional. Subsequently, the effect of flow inhomogeneities in the spanwise direction is examined. Slow modulations of the time-average flow in the span wise direction, and localized regions of strongly inhomogeneous flow are separately considered. It is shown that the instability modes of an average flow with a slow modulation along the span have a spanwise wavelength equal to twice that of the average flow. Moreover, for the same average flow two instability modes are possible, identical in every respect except from their spanwise structure. Localized inhomogeneities on the other hand can generate through linear resonances inclined vortex filaments in the homogeneous part of the fluid. The theory provides an explanation for the vortex patterns observed in recent flow visualization experiments, and a theoretical justification of the cosine law for the frequency of inclined vortex shedding (Williamson, 1988).

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44

Olkhovsky, V. S. "On the similarity of particle and photon tunneling and multiple internal reflections in one-dimensional, two-dimensional and three-dimensional photon tunneling." International Journal of Modern Physics E 23, no. 06 (June 2014): 1460006. http://dx.doi.org/10.1142/s0218301314600064.

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The formal mathematical analogy between time-dependent quantum equation for the nonrelativistic particles and time-dependent equation for the propagation of electromagnetic waves had been studied in [A. I. Akhiezer and V. B. Berestezki, Quantum Electrodynamics (FM, Moscow, 1959) [in Russian] and S. Schweber, An Introduction to Relativistic Quantum Field Theory, Chap. 5.3 (Row, Peterson & Co, Ill, 1961)]. Here, we deal with the time-dependent Schrödinger equation for nonrelativistic particles and with time-dependent Helmholtz equation for electromagnetic waves. Then, using this similarity, the tunneling and multiple internal reflections in one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D) particle and photon tunneling are studied. Finally, some conclusions and future perspectives for further investigations are presented.

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45

ANDO, Akio. "Theory of Three-Dimensional Sound Field Reproduction." IEICE ESS FUNDAMENTALS REVIEW 3, no. 4 (2009): 33–46. http://dx.doi.org/10.1587/essfr.3.4_33.

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46

Birmingham, Danny, Ivo Sachs, and Siddhartha Sen. "Three-dimensional black holes and string theory." Physics Letters B 413, no. 3-4 (November 1997): 281–86. http://dx.doi.org/10.1016/s0370-2693(97)01125-8.

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47

Verbaarschot, J. J. M., and I. Zahed. "Random Matrix Theory and Three-Dimensional QCD." Physical Review Letters 73, no. 17 (October 24, 1994): 2288–91. http://dx.doi.org/10.1103/physrevlett.73.2288.

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48

Saifuddin, Kazi. "A theory of three‐dimensional auditory perception." Journal of the Acoustical Society of America 115, no. 5 (May 2004): 2458. http://dx.doi.org/10.1121/1.4782323.

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49

Guven, Jemal. "Chern–Simons theory and three-dimensional surfaces." Classical and Quantum Gravity 24, no. 7 (March 20, 2007): 1833–40. http://dx.doi.org/10.1088/0264-9381/24/7/009.

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50

Kendon, V. M. "Scaling theory of three-dimensional spinodal turbulence." Physical Review E 61, no. 6 (June 1, 2000): R6071—R6074. http://dx.doi.org/10.1103/physreve.61.r6071.

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