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  • 1
    Electronic Resource
    Electronic Resource
    On the theory of brownian motion. VIII. A Brownian particle in a dilute gas with inelastic collisions (1975)
    Springer
    Journal of statistical physics 12 (1975), S. 427-436 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; Fokker-Planck equation ; Boltzmann equation ; diffuse scattering ; inelastic collisions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Fokker-Planck equation for a heavy particle in a dilute gas of light particles is derived from a Boltzmann equation. Inelastic collisions between the heavy and light particles are considered, and explicit quadratures for the frictional coefficients are given in terms of the scattering kernels. It is shown that the general formulation reduces properly to known results in the cases of pure elastic and pure diffuse scattering, respectively.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01012886
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  • 2
    Electronic Resource
    Electronic Resource
    Book review (1990)
    Springer
    Foundations of physics 20 (1990), S. 1021-1023 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00738379
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  • 3
    Electronic Resource
    Electronic Resource
    On the theory of Al,Si ordering in albite: Comment (1982)
    Springer
    Physics and chemistry of minerals 8 (1982), S. 47-47 
    Details
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00311162
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  • 4
    Electronic Resource
    Electronic Resource
    The effects of aluminum-silicon ordering on phase separation for a two-dimensional model of alkali feldspars (1983)
    Springer
    Physics and chemistry of minerals 9 (1983), S. 9-13 
    Details
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract The time evolution of a model system for mixtures of sodium and potassium feldspars is investigated by computer simulations in order to determine what effects aluminum-silicon ordering may have on phase separation in these minerals. We assume that there is a greater energetic advantage for Al atoms to move onto preferred sites in the vicinity of Na atoms than in the vicinity of K atoms. This couples Al/Si ordering to the phase separation. We find that in such a system phase separation is slowed substantially compared to a system in which the two processes are not coupled.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00309463
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  • 5
    Electronic Resource
    Electronic Resource
    On the theory of Brownian motion. I. Interaction between Brownian particles (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 89-99 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; Molecular theory ; Friction coefficient ; density dependence of Fokker-Planck equation ; Homogeneous systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The molecular theory of the Brownian motion of heavy particles in a homogeneous solvent of light particles is extended to cover the case of interactions between the Brownian particles. This will have physical effects in the concentration dependence of the Brownian particle self-diffusion coefficient. A density expansion for the Brownian particle friction coefficient is derived, and an approximation permitting the first density correction to be calculated is suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007243
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  • 6
    Electronic Resource
    Electronic Resource
    On the theory of Brownian motion. II. Nonuniform systems (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 101-106 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; Molecular theory ; Nonuniform system ; Gradients of temperature ; velocity ; concentration ; Local equilibrium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An equation of evolution for a heavy particle immersed in a solvent of lighter particles is derived for the case when the system suffers gradients of temperature composition, or velocity. The derivation unifies the theory by applying the same methods which have proved useful in the uniform case. The final equation contains some new terms due to concentration gradients in the solvent, and is applicable to the case when the heavy particles are present at finite concentration and interact with each other.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007244
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  • 7
    Electronic Resource
    Electronic Resource
    On the brownian motion of a frequencymodulated oscillator (1981)
    Springer
    Journal of statistical physics 24 (1981), S. 39-44 
    Details
    ISSN: 1572-9613
    Keywords: Langevin equations ; Brownian motion ; fluctuations ; Hill's equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Langevin equations for a harmonically bound particle, where the force constant is a given function of time, is solved. The mean and mean-square properties of the solution are determined. The analysis is then specialized to the case of a force constant periodic in time. It is shown that the mean fluctuations remain bounded in time precisely when the mean motion is stable (remains bounded).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01007633
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  • 8
    Electronic Resource
    Electronic Resource
    On the theory of brownian motion. III. Two-body distribution function (1969)
    Springer
    Journal of statistical physics 1 (1969), S. 559-562 
    Details
    ISSN: 1572-9613
    Keywords: Brownian motion ; two-body distribution function ; kinetic equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The equation of evolution governing the probability density of a pair of heavy particles in a fluid of lighter particles is derived. The derivation starts from the Liouville equation and proceeds by expansion in the ratio of light to heavy masses, using the technique previously applied successfully to the singlet distribution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01024130
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  • 9
    Electronic Resource
    Electronic Resource
    Asymptotic results for a persistent diffusion model of Taylor dispersion of particles (1996)
    Springer
    Journal of statistical physics 85 (1996), S. 165-177 
    Details
    ISSN: 1572-9613
    Keywords: Taylor diffusion ; non-Markovian processes ; composite stochastic processes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study Taylor diffusion for the case when the diffusion transverse to the bulk motion is a persistent random walk on a one-dimensional lattice. This is mapped onto a Markovian walk where each lattice site has two internal states. For such a model we find the effective diffusion coefficient which depends on the rate of transition among internal states of the lattice. The Markovian limit is recovered in the limit of infinite rate of transitions among internal states; the initial conditions have no role in the leading-order time-dependent term of the effective dispersion, but a strong effect on the constant term. We derive a continuum limit of the problem presented and study the asymptotic behavior of such limit.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02175560
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  • 10
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    On the Green’s function for a one-dimensional random walk (1987)
    Springer
    Details
    Publication Date: 1987-12-01
    Print ISSN: 0163-4992
    Topics: Biology , Medicine
    Published by Springer
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