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  • 1
    Electronic Resource
    Electronic Resource
    Ordinary and thermal diffusions in polyatomic binary fluid mixtures (1998)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 109 (1998), S. 4971-4980 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: General formulas for the ordinary and Soret diffusion coefficients D12 and DT, and the thermal-diffusion ratio kT (or the thermal-diffusion factor α12) of a binary and dilute fluid mixture consisting of nonspherical molecules have been obtained utilizing the classical transport theory recently developed by us [G. S. Singh and B. Kumar, J. Chem. Phys. 104, 5604 (1996)]. The general results involve up to the infinite order of approximations but in the present work we have restricted ourselves up to the second order only. We thus obtain general expressions for the second approximation to both D12 and DT, and the first approximation to kT (or α12) in terms of different square bracket integrals. The velocity as well as angular velocity parts of these integrals for the fluid mixtures of hard biaxial ellipsoids have been analytically performed with the help of the modified Hoffman procedure. The expressions for [D12]2, [DT]2, and [kT]1 have thus ultimately been obtained in terms of five four-dimensional quadratures over the orientational coordinates of like or unlike pairs of colliding ellipsoidal molecules. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.477108
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  • 2
    Electronic Resource
    Electronic Resource
    Bianchi type-I cosmological models in Lyra's geometry (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 2456-2458 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Exact solutions are obtained for the anisotropic Bianchi type-I model in normal gauge for Lyra's geometry. The physical behavior of the models is examined in vacuum and in the presence of perfect fluids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529495
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  • 3
    Electronic Resource
    Electronic Resource
    Configurational interference in boundary-value problems governed by the Helmholtz equation (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 829-833 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A rigorous approach is discussed for solving the two-dimensional Helmholtz equation in a multiply-connected domain consisting of a ring of N circles distributed symmetrically within a closed space. The outer boundary has been taken to be such that the system as a whole has N-fold rotational symmetry. The Dirichlet boundary condition has been satisfied exactly at the outer as well as at each of the inner edges, using the addition theorems for the cylindrical Bessel functions in conjugation with the Fourier expansions. Numerical results, showing spatial configurational interference, are presented for the lowest cutoff value of the symmetric mode as a function of separation between centers of two inner circles, in the case N=2 with circular outer boundary. The application of the method to various problems of physics and engineering is enunciated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528405
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  • 4
    Electronic Resource
    Electronic Resource
    Group-theoretic solution of the scalar wave equation in a multiply connected domain (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 3230-3249 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The solution of the two-dimensional scalar Helmholtz wave equation is discussed in a domain consisting of N+2 boundaries wherein there is one central boundary and N circles are located symmetrically within a closed space such that the system as a whole has N-fold rotational symmetry. The general solution for this complicated domain has been found to reproduce the results corresponding to simpler structures with lesser number of boundaries. Furthermore, the rotational symmetry of the system is exploited to obtain the group-theoretic solution of the composite problem leading to symmetry-induced simplifications. The numerical results pertaining to the lowest and some of the higher modes are presented for N=1 and 2. The plot of the lowest eigenvalue as a function of eccentricity exhibits maximum for symmetric as well as antisymmetric modes whenever there are at least two inner boundaries. This behavior has universal character in the sense that the maximum shows up irrespective of the values of the geometrical parameters other than the eccentricity. The computations involving the group-theoretic aspects have been found to have fast convergence highlighting the significance of our approach to deal with the solution for a class of multidisciplinary problems coming within the purview of the Helmholtz equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530463
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  • 5
    Electronic Resource
    Electronic Resource
    Molecular beam epitaxial growth of high quality InSb (1994)
    Woodbury, NY : American Institute of Physics (AIP)
    Applied Physics Letters 65 (1994), S. 3338-3340 
    Details
    ISSN: 1077-3118
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this letter we report on the growth of high quality InSb by molecular beam epitaxy that has been optimized using reflection high energy electron diffraction. A 4.8 μm InSb layer grown on GaAs at a growth temperature of 395 °C and a III/V incorporation ratio of 1:1.2 had an x-ray rocking curve of 158 arcsec and a Hall mobility of 92 300 cm2 V−1 at 77 K. This is the best material quality obtained for InSb nucleated directly onto GaAs reported to date. © 1994 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.112384
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  • 6
    Electronic Resource
    Electronic Resource
    Transport properties of a binary gas mixture of molecules with internal energy. I. Shear and volume viscosities (1996)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 104 (1996), S. 5604-5615 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: General expressions in terms of the square bracket integrals for the shear and volume viscosities of a classical dilute binary gas mixture of nonspherical molecules have been derived by extending the Taxman classical kinetic theory of transport phenomena within the framework of the Chapman–Enskog second approximation method for a mixture of spherical molecules. The dimensionality of integrals for the binary mixture of rigid spheroidal molecules having C∞v symmetry has been reduced analytically to get ultimately the forms wherein the integrals are to be performed only over the orientational coordinates of two colliding like or unlike spheroids. The general expressions for the nonspherical molecules as well as the final integrals for the spheroidal molecules are shown to be correct. The shear- and volume-viscosity formulas for a classical dilute binary gas mixture of hard sphere molecules have been retrieved as the limiting case of our corresponding expressions for the spheroidal systems. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.471801
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  • 7
    Electronic Resource
    Electronic Resource
    Transport properties of a binary gas mixture of molecules with internal energy. II. Thermal conductivity (1996)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 105 (1996), S. 1537-1545 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: General expressions in terms of various square-bracket integrals for the thermal conductivity λ and its first-order approximation [λ]1 of a classical dilute binary gas mixture of nonspherical molecules have been obtained by extending the Taxman classical kinetic theory of transport phenomena within the framework of the Chapman–Enskog second approximation method for the mixture of spherical molecules. In the limit, [λ]1 formula tends to the corresponding formula for a dilute simple gas of nonspherical molecules or a dilute binary gas mixture of spherical molecules. The dimensionalities of the square-bracket integrals belonging to [λ]1 for the mixture of rigid spheroids having C∞v symmetry have been reduced by integrating analytically the velocity and angular velocity parts of the integrals. The resulting reduced quadratures are over the orientational coordinates of two colliding like or unlike spheroids. Two limiting checks are discussed which confirm that the quadrature formulas are correct. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.472014
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  • 8
    Electronic Resource
    Electronic Resource
    Geometry of hard ellipsoidal fluids and their virial coefficients (1996)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 105 (1996), S. 2429-2435 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: This article is primarily addressed to the geometry of hard ellipsoidal molecules which is essentially required in the study of the fluid structure, thermodynamics and transport properties of the model hard-biaxial fluids or liquid crystals. A methodology has systematically been followed in obtaining the known as well as hitherto unknown results for a biaxial system. The computationally convenient and neat expressions have been achieved for the surface and volume elements of a biaxial molecule. New expressions have been obtained for the surface area S and the mean radius of curvature R of a rigid ellipsoid in terms of the elliptic integrals of the first and second kinds. In the limit when the two axes become equal, the expressions obtained for the ellipsoidal molecules reduce to those of the spheroidal systems. Exact expression has been obtained for the second virial coefficient of the ellipsoidal fluid and furthermore the significance of our analytical results for such a fluid are enunciated in the context of the study of the higher virial coefficients and equation of state. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.472110
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  • 9
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    Unstable density distribution associated with equatorial plasma bubble (2016)
    American Institute of Physics (AIP)
    Details
    Publication Date: 2016-04-12
    Description: In this work, we present a simulation study of equatorial plasma bubble (EPB) in the evening time ionosphere. The fluid simulation is performed with a high grid resolution, enabling us to probe the steepened updrafting density structures inside EPB. Inside the density depletion that eventually evolves as EPB, both density and updraft are functions of space from which the density as implicit function of updraft velocity or the density distribution function is constructed. In the present study, this distribution function and the corresponding probability distribution function are found to evolve from Maxwellian to non-Maxwellian as the initial small depletion grows to EPB. This non-Maxwellian distribution is of a gentle-bump type, in confirmation with the recently reported distribution within EPB from space-borne measurements that offer favorable condition for small scale kinetic instabilities.
    Print ISSN: 1070-664X
    Electronic ISSN: 1089-7674
    Topics: Physics
    Published by American Institute of Physics (AIP)
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  • 10
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    Observation of nonlinear bands in near-field scanning optical microscopy of a photonic-crystal waveguide (2015)
    American Institute of Physics (AIP)
    Details
    Publication Date: 2015-01-21
    Description: We have measured the photonic bandstructure of GaAs photonic-crystal waveguides with high resolution in energy as well as in momentum using near-field scanning optical microscopy. Intriguingly, we observe additional bands that are not predicted by eigenmode solvers, as was recently demonstrated by Huisman et al. [Phys. Rev. B 86 , 155154 (2012)]. We study the presence of these additional bands by performing measurements of these bands while varying the incident light power, revealing a non-linear power dependence. Here, we demonstrate experimentally and theoretically that the observed additional bands are caused by a waveguide-specific near-field tip effect not previously reported, which can significantly phase-modulate the detected field.
    Print ISSN: 0021-8979
    Electronic ISSN: 1089-7550
    Topics: Physics
    Published by American Institute of Physics (AIP)
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