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  • 1
    Electronic Resource
    Electronic Resource
    Multiple-scattering coefficients and absorption controlled diffusive processes (1999)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 111 (1999), S. 9389-9392 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Multiple-scattering transmission and reflection coefficients (T,R) are introduced in addition to the diffusion coefficient D for the description of ballistic diffusion in the presence of absorption. For 1D (one-dimensional) systems, the measurement of only one between T and D imposes restrictions on the possible values of the other. If D is measured, then T is bounded between the Landauer and Lambert–Beer equations. Measurements of both (T,D) imply the theoretical knowledge of the microscopic absorption Σa and scattering rΣs cross sections. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.479851
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  • 2
    Electronic Resource
    Electronic Resource
    Fluids with internal degrees of freedom. I. Extended thermodynamics approach (1987)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 4208-4215 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Extended irreversible thermodynamics (EIT) is used to derive a complete set of time evolution equations for the state variables describing a general polyatomic fluid. The internal degrees of freedom of the fluid are represented by suitable nonconserved variables. In particular, these time evolution equations are shown to resemble relaxation-type equations. The sign of the unknown coefficients included in such equations is undetermined. However, when a comparison is made with the results obtained from the moment solution method of a kinetic equation for a dilute polyatomic fluid, several of the general features of the phenomenological results are clarified. Indeed, the predictions of kinetic theory fully agree with the basic equations of EIT. This provides a mesoscopic foundation for the theory. The sign of the unknown coefficients appearing in the relaxation-type equations for the nonconserved variables is such that the corresponding relaxation times are positive definite. Therefore, such equations are indeed relaxation equations. Other features of the phenomenological theory are also discussed on the light of the kinetic theoretical results. Further, the usefulness of the theory will be addressed in connection with a subsequent paper where the results here obtained will be used to compute the Rayleigh–Brillouin spectrum for a polyatomic fluid.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451880
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  • 3
    Electronic Resource
    Electronic Resource
    Fluids with internal degrees of freedom. II. Rayleigh–Brillouin scattering (1987)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 86 (1987), S. 4216-4220 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The extended thermodynamic treatment developed in part I for a fluid with internal degrees of freedom, is used to calculate its Rayleigh–Brillouin spectrum. A hydrodynamic model is first constructed which involves unspecified phenomenological coefficients. When these coefficients are identified in terms of experimental parameters, reasonably good agreement is obtained between the calculated and measured dynamic structure factor of CS2 at 20 °C with a density 1.262 g/cm3 and for k=8.608×10 cm−1. It is also shown that when the relaxation times of the trace and the nondeviatoric part of the stress tensor of the fluid tend to zero, the results previously derived by Mountain are recovered. The possible connections between this extended thermodynamic approach and Rytov's hydrodynamic theory are also hinted at.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451881
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  • 4
    Electronic Resource
    Electronic Resource
    Hydrodynamic fluctuations in a chemically reacting fluid (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 2140-2146 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: It is shown that the calculation of the nonlocal in time second moments of hydrodynamic fluctuations in a chemically reacting fluid can be done within the framework of extended irreversible thermodynamics. The results obtained imply that a non-Gaussian noise is associated with the fluctuations of the rate of the reaction and of the diffusive flux. The classical results from linear fluctuating hydrodynamics are recovered as a special case of the general results. For the thermostatic second moment in the fluctuations of the internal energy new terms arise whenever fast variables intervene for their description.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451106
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  • 5
    Electronic Resource
    Electronic Resource
    Extended thermodynamic description of diffusion in an inert binary mixture (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 4099-4102 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The equilibrium concentration autocorrelation function for an inert binary mixture is calculated by means of extended irreversible thermodynamics. The ensuing generalized transport coefficient is explicitly evaluated and the corresponding k-dependent relaxation time is also obtained. The connection with neutron scattering experiments is suggested and expressions for the dynamic structure factor and the half-width dispersion relation are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.449075
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  • 6
    Electronic Resource
    Electronic Resource
    A thermodynamic basis for transport phenomena in viscoelastic fluids (1993)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 99 (1993), S. 3913-3918 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A calculation for the longitudinal stress modulus in a viscoelastic medium is obtained introducing the stress tensor, its trace and the heat flux as additional variables, without requiring the specific form of the dynamic structure factor of the system. By using extended irreversible thermodynamics, we derive the time evolution equations for the state variables. These equations are used to obtain general wave vector and frequency dependent expressions for measurable properties of the system. We recover for a particular case results that have been derived previously in the literature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.466136
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  • 7
    Electronic Resource
    Electronic Resource
    On the thermodynamic basis of the affinity decay rate (1990)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 3545-3550 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In the past five years exhaustive studies in chemical reactions have lead to an empirical equation describing how isothermal–isometric homogeneous reactions evolve towards equilibrium independently of their particular mechanism or rate law. Such an equation expresses the time rate of change of the chemical affinity as a linear function of the inverse of time. In this paper we show that by invoking the local equilibrium hypothesis one may provide, a time evolution equation for the chemical affinity that is uniquely given by the solution of the particular rate law of the reaction considered. Consequently such an equation is not of the same functional form for all reactions. On the other hand, integration of Dalton's law under specific initial conditions, together with the local equilibrium assumption and the ideality requirement for the reacting species, exhibits a unique inverse time decay for the chemical affinity. This explains the good fitting of the inverse in time dependence of the chemical affinity with experimental data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.457863
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  • 8
    Electronic Resource
    Electronic Resource
    Hydrodynamic description of suspensions of Brownian particles (1990)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 3086-3091 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Using the formalism of extended nonequilibrium thermodynamics we propose a set of variables which are relevant in describing the space- and time-dependent properties of suspensions consisting essentially of Brownian particles. The time evolution equations for the nonconventional variables are derived, which together with the appropriate time evolution equations for the subset of the conventional variables, form a complete set of equations for the full set of dynamical variables. These equations are used to derive the form of the dynamical structure factor under the assumption that hydrodynamic interactions are negligible. The results are compared and discussed in the light of those obtained by other methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.457906
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  • 9
    Electronic Resource
    Electronic Resource
    The Burnett equations for a Lorentzian mixture (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1814-1830 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown that for a binary mixture of dilute gases characterized by the Boltzmann equation the Burnett contribution for the fluxes can be evaluated without solving the integrodifferential equations for the corrections to the distribution function to third order in the Chapman–Enskog method. The conservation equations can be closed knowing only the second-order solution (in the Chapman–Enskog method) to the Boltzmann equation which is well known. By considering a trace component of light particles in a heavy gas (Lorentz approximation) all the higher-order transport coefficients for the soft-sphere model can be evaluated and from these results an estimation of the Burnett corrections to the Navier–Stokes regime is given. Other pertinent results of this calculation are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858857
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  • 10
    Electronic Resource
    Electronic Resource
    Consistency of the kinetic mass action law with thermodynamics (1986)
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 90 (1986), S. 953-956 
    Details
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/j100277a050
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