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  • 1
    Electronic Resource
    Electronic Resource
    Topological properties of supercooled polymeric liquid (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 9979-9983 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We construct an isothermal–isobaric partition function of glass-forming polymeric liquids by separating the local minima of the potential energy hypersurface from the anharmonic vibrations about these packings. The partition function is evaluated by a maximum term method. A suitable approximation to the partition function below a temperature T2 is required since the maximum term approach is not valid in this range of temperatures. We obtained the following results: (a) The density of states including thermodynamic quantities such as entropy and heat capacity reveal an Ehrenfest second-order transition at T2; (b) T2〈T2,c where T2,c is the temperature of the transition when considering only configurational contributions; (c) if the density of states at the minimum energy is finite, then T2,c does not vanish; (d) the stability conditions [Eqs. (17)–(20)] necessary to derive (b); (e) the discontinuity of various thermodynamic quantities such as heat capacity, thermal expansion coefficient and compressibility at T2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.465397
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  • 2
    Electronic Resource
    Electronic Resource
    A kinetic model for a multicomponent gas (1989)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 380-383 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A kinetic model for a dilute multicomponent gas system is proposed. It is constructed by replacing the Boltzmann collision operator with a relaxation-time term, in the same manner as in the Bhatnagar–Gross–Krook (BGK) model for a single gas. The model contains several parameters that are determined by keeping some of the main properties of the Boltzmann description. In contrast to previous works, the BGK equation is recovered when mechanically identical particles are considered. Thus the model can be expected to apply to systems in which masses are comparable. The transport properties to the Navier–Stokes level are studied and Onsager's reciprocal relations are found to hold.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857458
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  • 3
    Electronic Resource
    Electronic Resource
    Thermally driven escape over a barrier of arbitrary shape (1999)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 110 (1999), S. 2159-2163 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The Kramers theory for the thermally activated rate of escape of a Brownian particle from a potential well is extended to a barrier of arbitrary shape. The extension is based on an approximate solution of the underlying Fokker–Planck equation in the spatial diffusion regime. With the use of the Mel'nikov–Meshkov result for the underdamped Brownian motion an overall rate expression is constructed, which interpolates the correct limiting behavior for both weak and strong friction. It generalizes in a natural way various different rate expressions that are already available in the literature for parabolic, cusped, and quartic barriers. Applications to symmetric parabolic and cusped double-well potentials show good agreement between the theory and estimates of the rates from numerical calculations. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.477826
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  • 4
    Electronic Resource
    Electronic Resource
    Comment on: "An exact expression for the average value of the population governed by the stochastic Verhulst equation'' [A. Morita, J. Chem. Phys. governed by the stochastic Verhulst equation'' [A. Morita, J. Chem. Phys. 76, 419 (1982)] (1987)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 1073-1075 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.452297
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  • 5
    Electronic Resource
    Electronic Resource
    On the critical behavior of the Percus–Yevick equation for nontruncated potentials (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 82 (1985), S. 4312-4316 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We present a qualitative analysis on the influence of truncating a long-ranged potential on the critical behavior of a fluid described by the Percus–Yevick equation. It is shown that a nonclassical equation of state for truncated potentials can be compatible with a classical one in the long-range limit. Our main assumption is that the dominant part of the difference between both equations of state is a regular function driven by the asymptotic behavior of the direct correlation function. The results are applied to the case of a Lennard-Jones potential. Comparison with available numerical results is quite satisfactory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.448821
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  • 6
    Electronic Resource
    Electronic Resource
    Comments on "A generalized BKW solution of the nonlinear Boltzmann equation with removal'' [Phys. Fluids 27, 2599 (1984)] (1986)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 29 (1986), S. 1750-1750 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown that there is a direct relationship between the solutions of the Boltzmann equation for a homogeneous system of Maxwell molecules with and without particle removal.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.865647
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  • 7
    Electronic Resource
    Electronic Resource
    Combined effects of additive and multiplicative noise in a Fokker-Planck model (1987)
    Springer
    The European physical journal 66 (1987), S. 263-269 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study a stochastic model containing both additive and multiplicative noise. Starting from a Langevin description of the system, an appropriate Fokker-Planck equation is obtained. The influence of both kinds of noise on the evolution of the moments and also on the stationary time correlation function is analyzed. We use an approximate analytical treatment whose validity is corroborated by means of numerical simulations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01311664
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  • 8
    Electronic Resource
    Electronic Resource
    Generalized Langevin equations with time-dependent temperature (1990)
    Springer
    Journal of statistical physics 61 (1990), S. 713-722 
    Details
    ISSN: 1572-9613
    Keywords: Langevin equations ; time-dependent temperature ; heating and cooling processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A generalized Langevin equation describing the evolution of a particle in a heat bath with a time-dependent temperature is derived for a simple model. The temperature is controlled by introducing dissipative terms in the dynamical equations of the heat bath particles. The Langevin equation contains a term that is specifically associated with the variation of the temperature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01027298
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  • 9
    Electronic Resource
    Electronic Resource
    On the linear relaxation of a one-dimensional bonded fluid model (1994)
    Springer
    The European physical journal 93 (1994), S. 389-393 
    Details
    ISSN: 1434-6036
    Keywords: 05.50.+q ; 61.20.Lc ; 61.43.Bn
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The linear relaxation of a one-dimensional bonded fluid model is studied in the dynamical mean field approximation at the pair level. The results are compared with simulation data. Relaxation at low temperatures shows a cooperative character that can be understood in terms of a simple diffusion picture.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01312710
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  • 10
    Electronic Resource
    Electronic Resource
    Solution of the BGK model kinetic equation for very hard particle interaction (1984)
    Springer
    Journal of statistical physics 37 (1984), S. 123-149 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; BGK model kinetic equation ; VHP interaction ; Tjon effect
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the Bhatnagar-Gross-Krook model kinetic equation with a velocity-dependent collision frequency. We derive the conditions that must be verified in order to keep the main physical properties of the Boltzmann equation, i.e.,H-theorem and conservation laws. The particular case of the so-called VHP interaction is considered, and the resulting kinetic equation is solved for a homogeneous and isotropic gas. Overpopulation phenomena are observed and analyzed for some kinds of initial conditions. The results are compared, where possible, with the exact solution of the Boltzmann equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012908
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