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  • Darwin strategies  (1)
  • Gurney-Fiedman models  (1)
  • Nonlinear oscillations  (1)
  • Springer  (3)
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  • Springer  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    Electrolytic conductance for Gurney-Friedman models (1979)
    Springer
    Journal of solution chemistry 8 (1979), S. 53-82 
    Details
    ISSN: 1572-8927
    Keywords: Conductance ; Debye-Hückel approximations ; mean spherical approximations ; Gurney-Fiedman models ; alkali halides ; ionic association
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Starting from hierarchy of diffusion equations for the distribution functions in coordinate space, the general theory of conductance is developed and applied to Gurney-Friedman models for ion-ion interactions. The interaction potentials used consist of a hard core with Pauling radii and a Gurney cosphere with a steplike interaction law converging to the Coulomb law outside the Gurney sphere. For the simplest case of step potentials explicit formulas for the conductivity are given. For higher concentrations an integral equation corresponding to the mean-spherical approximation in equilibrium is proposed. The theory is compared with experimental data for 17 alkali halide electrolytes by fitting the Gurney parameters. It is shown that the variant of the theory which includes the feedback of the relaxation and electrophoretic forces describes also the data for associating 2-2 electrolytes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00646809
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Pattern dynamics and optimization by reaction diffusion systems (1986)
    Springer
    Journal of statistical physics 45 (1986), S. 891-903 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann strategies ; Darwin strategies ; annealing ; eigenvalue problems ; double dynamics ; chemical waves ; information compression on attractors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Reaction-diffusion systems show a fast and rather complex response on patterns produced by external space- and/or time-dependent perturbations. For example, one-component autocatalytic reactions rapidly find the loci where the given space-dependent reaction rates have relatively high values by following a kind of Darwinian strategy (combining self-reproduction and diffusion). It is shown that a simulation of this strategy in combination with annealing (decreasing the diffusion rates in time) may be used as an alternative to thermodynamic annealing strategies. Many-component reactions, such as the light-sensitive Belousov-Zhabotinsky reaction, show a more complex response to patterns impressed by illumination, for example. The response behavior and possible applications to dynamic information processing are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020580
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Activation by nonlinear oscillations and solitonic excitations (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 49-60 
    Details
    ISSN: 1572-9613
    Keywords: Nonlinear oscillations ; solitonic excitations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Local excitations in molecular systems are studied taking into account the influence of soft impurities. The dynamics of activation processes (high-energy events) due to nonlinear mechanisms is studied. The following examples of classical macroscopic systems with strong nonlinear interaction are investigated: 1D Toda chains, 1D Morse rings, and 3D systems of hard spheres including impurities. It is shown that solitonlike excitations may lead to the concentration of energy at definite sites (weak springs or soft spheres). The accumulation of energy is mainly due to soliton-fusion effects. In thermal equilibrium an optimum temperature exists, where the thermally averaged potential energy is preferably partitioned to the soft springs embedded into a hard-spring solvent. Further, we show that the effect of thermal energy localization and the temperature dependence also persists for solutions of soft spheres in hard-sphere solvents.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053953
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    Paper (German National Licenses)
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