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  • 1
    Electronic Resource
    Electronic Resource
    Testing theories of nonequilibrium processes with light-scattering techniques (1982)
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 86 (1982), S. 2812-2818 
    Details
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1021/j100212a003
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  • 2
    Electronic Resource
    Electronic Resource
    The absorption line shape for a molecular system stochastically coupled to a phonon thermal reservoir (1988)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 88 (1988), S. 4579-4583 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: In this paper we extend earlier results regarding the relaxation properties of a molecular system, stochastically coupled to a phonon thermal reservoir, and interacting with a radiation field. The absorption line shape is derived in the white as well as the colored noise regime. Broadening, shift, and asymmetry are predicted. The expressions for the parameters, which characterize the features of the line, have an explicit dependence on the temperature, which our earlier, microcanonical theory did not include.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.453770
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  • 3
    Electronic Resource
    Electronic Resource
    Amplification of intrinsic fluctuations by the Lorenz equations (1993)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 3 (1993), S. 313-323 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Macroscopic systems (e.g., hydrodynamics, chemical reactions, electrical circuits, etc.) manifest intrinsic fluctuations of molecular and thermal origin. When the macroscopic dynamics is deterministically chaotic, the intrinsic fluctuations may become amplified by several orders of magnitude. Numerical studies of this phenomenon are presented in detail for the Lorenz model. Amplification to macroscopic scales is exhibited, and quantitative methods (binning and a difference-norm) are presented for measuring macroscopically subliminal amplification effects. In order to test the quality of the numerical results, noise induced chaos is studied around a deterministically nonchaotic state, where the scaling law relating the Lyapunov exponent to noise strength obtained for maps is confirmed for the Lorenz model, a system of ordinary differential equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.165940
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  • 4
    Electronic Resource
    Electronic Resource
    Entropy evolution for the Baker map (1998)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 8 (1998), S. 462-465 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Gibbs entropy is invariant for the Baker map. A Jordan basis spectral decomposition of the Baker Frobenius-Perron operator suggests that any initial density evolves to the stationary density that has maximal entropy. This entropy conundrum is resolved by considering the difference between weak and strong convergence. A binary representation is used to make these points transparent. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166327
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  • 5
    Electronic Resource
    Electronic Resource
    Construction of the Jordan basis for the Baker map (1997)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 7 (1997), S. 254-269 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Jordan canonical form basis states for an invertible chaotic map, the Baker map, are constructed. A straightforwardly obtained recursion formula is presented for construction of the Jordan states and of the spectral decomposition of the Frobenius–Perron evolution operator. Comparison of this method with earlier, subdynamics techniques demonstrates that it is much more direct and simpler. The physical significance of the Jordan states is approached from the point of view of an entropy evolution equation. The method is also applied to the Bernoulli map, yielding its eigenstates more straightforwardly than done previously. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166226
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  • 6
    Electronic Resource
    Electronic Resource
    Unstable evolution of pointwise trajectory solutions to chaotic maps (1995)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 5 (1995), S. 619-633 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Simple chaotic maps are used to illustrate the inherent instability of trajectory solutions to the Frobenius–Perron equation. This is demonstrated by the difference in the behavior of δ-function solutions and of extended densities. Extended densities evolve asymptotically and irreversibly into invariant measures on stationary attractors. Pointwise trajectories chaotically roam over these attractors forever. Periodic Gaussian distributions on the unit interval are used to provide insight. Viewing evolving densities as ensembles of unstable pointwise trajectories gives densities a stochastic interpretation. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166132
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  • 7
    Electronic Resource
    Electronic Resource
    Enhanced quantum fluctuations in a chaotic single mode ammonia laser (1994)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 4 (1994), S. 1-13 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A detailed study of the effects of quantum fluctuations in a chaotic single mode laser is presented. It has been well established that the linear noise approximation eventually becomes invalid for the case of chaotic dynamics. A more accurate description of the laser is achieved through use of nonlinear Langevin equations. Simple expressions for the time evolution of the phases of the electric field and polarization are derived. These expressions predict that chaotic dynamics will greatly enhance phase diffusion. This prediction is verified through numerical simulations. A quantitative method, for determining the amount of amplification of quantum noise by chaos is discussed. This method makes use of a metric introduced in symbolic dynamics. The fluctuations are shown to have been amplified by over two orders of magnitude, making them macroscopically visible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.166051
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  • 8
    Electronic Resource
    Electronic Resource
    Book reviews (1992)
    Springer
    Bulletin of mathematical biology 54 (1992), S. 687-694 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02459640
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  • 9
    Electronic Resource
    Electronic Resource
    Stochastic calculus in physics (1987)
    Springer
    Journal of statistical physics 46 (1987), S. 1145-1157 
    Details
    ISSN: 1572-9613
    Keywords: Fokker-Planck equation ; functional calculus ; colored noise
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The relationship of the Ito-Stratonovich stochastic calculus to studies of weakly colored noise is explained. A functional calculus approach is used to obtain an effective Fokker-Planck equation for the weakly colored noise regime. In a smooth limit, this representation produces the Stratonovich version of the Ito-Stratonovich calculus for white noise. It also provides an approach to steady state behavior for strongly colored noise. Numerical simulation algorithms are explored, and a novel suggestion is made for efficient and accurate simulation of white noise equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01011160
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  • 10
    Electronic Resource
    Electronic Resource
    Book review:Instabilities, bifurcations, and fluctuations in chemical systems (1983)
    Springer
    Journal of statistical physics 32 (1983), S. 205-206 
    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/BF01009430
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