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  • 1
    Electronic Resource
    Electronic Resource
    Chemical turbulence and phase resetting dynamics (1991)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 94 (1991), S. 1411-1419 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The onset of chemical turbulence in the 2-D complex Ginzburg–Landau equation is studied for a class of finite-amplitude, inhomogeneous, random initial conditions. Numerical simulations on a coupled map lattice corresponding to this reaction–diffusion equation are carried out in order to characterize the nature of the turbulent state. The phase diagram giving the zone of chemical turbulence in the parameter space that specifies the initial condition is determined numerically and compared with an analytical estimate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.459999
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  • 2
    Electronic Resource
    Electronic Resource
    Projected dynamics: Analysis of a chemical reaction model (1989)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 91 (1989), S. 5528-5543 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The rate processes corresponding to barrier crossing dynamics in a symmetric double-well potential driven by a white-noise source are investigated. The rate kernels in the generalized phenomenological rate law describing the reaction involve time evolution through a projected Fokker–Planck operator. The spectral properties of the projected Fokker–Planck operator are studied, and the rate kernels are expressed in terms of the eigenvalues and eigenfunctions of this operator. The formal results are illustrated with numerical calculations. The results provide information on the nature of the generalized chemical rate law for fast processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.457556
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Vortex dynamics in oscillatory chemical systems (1991)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 1 (1991), S. 421-434 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Vortex core dynamics is studied in the Brusselator both near to and far from the Hopf bifurcation line for random and pair initial conditions. Extensive simulations are carried out for a pair of counter-rotating vortices close to the Hopf bifurcation line. Provided the vortices are not so far apart that wave-front annihilation produces strong gradients between their centers, the simulation results compare favorably with theories based on the complex Ginzburg–Landau equation. Far from the Hopf line the vortex core dynamics changes character and phenomena such as periodic motion of the vortex centers arise.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.165852
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Effects of molecular fluctuations on chemical oscillations and chaos (1994)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 100 (1994), S. 5936-5948 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The effects of molecular fluctuations on chemical oscillations and chaos are investigated. The calculations are carried out using a reactive lattice-gas automaton which provides a mesoscopic description of the reactive dynamics. A specific chemical model, the Willamowski–Rössler reaction, is used to illustrate the effects. The applicability of mass-action rate laws and reaction-diffusion equations are considered and the character of the fluctuations in various dynamical regimes for both spatially-distributed and spatially-homogeneous systems are examined. The work provides information on the molecular origin of macroscopic, self-organized structures in far-from-equilibrium reacting systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.467239
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  • 5
    Electronic Resource
    Electronic Resource
    Chemical Chaos and Internal Noise (1993)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 706 (1993), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1993.tb24691.x
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    Paper (German National Licenses)
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