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- W2022138001 abstract "In a recent paper (Lewis, 2008) a class of models suitable for application to collision-sequence interference was introduced. In these models velocities are assumed to be completely randomized in each collision. The distribution of velocities was assumed to be Gaussian. The integrated induced dipole moment <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>μ</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math>, for vector interference, or the scalar modulation <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>μ</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math>, for scalar interference, was assumed to be a function of the impulse (integrated force) <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi mathvariant=bold>f</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math>, or its magnitude <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math>, experienced by the molecule in a collision. For most of (Lewis, 2008) it was assumed that <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>μ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>∝</mml:mo><mml:msub><mml:mi mathvariant=bold>f</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msub><mml:mi>μ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>∝</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math>, but it proved to be possible to extend the models, so that the magnitude of the induced dipole moment is equal to an arbitrary power or sum of powers of the intermolecular force. This allows estimates of the infilling of the interference dip by the disproportionality of the induced dipole moment and force. One particular such model, using data from (Herman and Lewis, 2006), leads to the most realistic estimate for the infilling of the vector interference dip yet obtained. In (Lewis, 2008) the drastic assumption was made that collision times occurred at equal intervals. In the present paper that assumption is removed: the collision times are taken to form a Poisson process. This is much more realistic than the equal-intervals assumption. The interference dip is found to be a Lorentzian in this model." @default.
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- W2022138001 date "2010-07-21" @default.
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- W2022138001 title "Elementary Statistical Models for Vector Collision-Sequence Interference Effects with Poisson-Distributed Collision Times" @default.
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- W2022138001 doi "https://doi.org/10.1155/2010/561697" @default.
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