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  • 1
    Electronic Resource
    Electronic Resource
    Stochastic analysis of a driven chemical reaction (1990)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 92 (1990), S. 6004-6010 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Floquet operator techniques are applied to a chemical reaction 2X→Y, to which X molecules are supplied periodically in time. The reaction is modeled as a death process with periodic immigration of the species X. We find the Floquet transition operator for this stochastic process, and we obtain exact expressions for the time-dependent probability distribution of the number of X molecules in the system, and the first and second moments of this distribution. The Floquet spectrum reveals the dynamics of the reaction process which is regular in this case. Numerical results for small systems are provided. The first moment agrees with the predictions of a kinetic model, while, as expected for small systems, fluctuations about the mean are significant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.458371
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Microscopic modes in a Fermi superfluid. II. Dispersion relations (1980)
    Springer
    Journal of statistical physics 23 (1980), S. 111-125 
    Details
    ISSN: 1572-9613
    Keywords: Fermi superfluids ; transport theory ; hydrodynamic modes ; microscopic mode theory ; broken symmetry ; Wigner functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This is the second of two papers in which microscopic expressions for the amplitudes and dispersion relations for hydrodynamic modes in an isotropic Fermi superfluid are derived. In this paper we obtain approximate solutions to the linearized kinetic equations for the bogolon spin density and total density for the case of long-wavelength disturbances after long times when a fluctuating superfluid velocity is present. In so doing, we obtain microscopic expressions for the amplitude and dispersion relations for the spin diffusion mode, the two shear modes, and the four longitudinal modes (two first-sound modes and two second-sound modes).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01014431
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  • 3
    Electronic Resource
    Electronic Resource
    Transition in the Floquet rates of a driven stochastic system (1988)
    Springer
    Journal of statistical physics 53 (1988), S. 41-48 
    Details
    ISSN: 1572-9613
    Keywords: Fokker-Planck equation ; Smoluchowski equation ; Brownian motion in a potential well ; Floquet theory ; nonlinear response ; driven Brownian particle
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Floquet theory is used to solve the Smoluchowski equation for a time-periodic system whose underlying dynamics exhibits a transition to deterministic chaos. For the stochastic version of this system, an abrupt transition occurs in the Floquet decay rates as parameters of the system are varied, leading to a much more rapid decay to the stationary state.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011543
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  • 4
    Electronic Resource
    Electronic Resource
    Electron Conductance and Lifetimes in a Ballistic Electron Waveguide (1998)
    Springer
    Journal of statistical physics 92 (1998), S. 519-542 
    Details
    ISSN: 1572-9613
    Keywords: Conductance ; electron waveguide ; electron scattering ; Landauer formula
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Ballistic electron waveguides are open quantum systems that can be formed at very low temperatures at a GaAs/AlGaAs interface. Dissipation due to electron–phonon and electron–electron interactions in these systems is negligible. Although the electrons only interact with the walls of the waveguide, they can have a complicated spectrum including both positive energy bound states and quasibound states which appear as complex energy poles of the scattering S-matrix or energy Green's function. The quasibound states can give rise to zeros in the waveguide conductance as the energy of the electrons is varied. The width of the conduction zeros is determined by the lifetimes of the quasibound states. The “complex energy spectrum” associated with the quasibound states also governs the survival probability of electrons placed in the waveguide cavities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1023032420009
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  • 5
    Electronic Resource
    Electronic Resource
    Conductance and Statistical Properties of Chaotic and Integrable Electron Waveguides (2000)
    Springer
    Journal of statistical physics 98 (2000), S. 813-834 
    Details
    ISSN: 1572-9613
    Keywords: conductance ; electron waveguide ; electron scattering ; random matrix theory ; finite element method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that the S-matrix for electrons propagating in a waveguide has different statistical properties depending on whether the waveguide cavity shape gives rise to chaotic or integrable behavior classically. We obtain distributions of energy level spacings for integrable and chaotic billiards shaped like the waveguide cavity. We also obtain distributions for Wigner delay times and resonance widths for the waveguide, for integrable and chaotic cavity geometries. Our results, obtained by direct numerical calculation of the electron wave function, are consistent with the predictions of random matrix theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018683710779
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  • 6
    Electronic Resource
    Electronic Resource
    The search for a quantum KAM theorem (1987)
    Springer
    Foundations of physics 17 (1987), S. 689-697 
    Details
    ISSN: 1572-9516
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The complex mechanisms by which nonlinear classical conservative systems undergo a transition from quasiperiodic to chaotic behavior are now fairly well understood. This transition is associated with a breakdown of quasi-constants of motion (KAM surfaces). There is growing evidence that similar mechanisms may govern the behavior of quantum systems. While K-type mixing behavior has not yet been found, there does appear to be a transition associated with the destruction of a quantum quasi-constant of motion (quantum KAM states) which changes qualitatively the spectrum of quantum systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01889542
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Microscopic modes in a Fermi superfluid. I. Linearized kinetic equations (1980)
    Springer
    Journal of statistical physics 23 (1980), S. 83-110 
    Details
    ISSN: 1572-9613
    Keywords: Fermi superfluids ; transport theory ; hydrodynamic modes ; microscopic mode theory ; broken symmetry ; Wigner functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This is the first of two papers in which microscopic expressions for the amplitudes and dispersion relations for hydrodynamic modes in an isotropic Fermi superfluid are derived. In this first paper we derive closed, decoupled, linearized kinetic equations for the bogolon spin density and total density in a Fermi superfluid with fluctuating superfluid velocity, and we discuss the form of the hydrodynamic equations that result from these equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01014430
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  • 8
    Electronic Resource
    Electronic Resource
    Book review (1982)
    Springer
    Journal of statistical physics 29 (1982), S. 643-644 
    Details
    ISSN: 1572-9613
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01342194
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  • 9
    Electronic Resource
    Electronic Resource
    Book review:Studies in network thermodynamics (1988)
    Springer
    Journal of statistical physics 50 (1988), S. 465-465 
    Details
    ISSN: 1572-9613
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01023005
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  • 10
    Electronic Resource
    Electronic Resource
    Book review:Statistical mechanics: Methods and applications (1984)
    Springer
    Journal of statistical physics 34 (1984), S. 351-352 
    Details
    ISSN: 1572-9613
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01770366
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