TITLE

Frequency dependence of catalyzed reactions in a weak oscillating field

AUTHOR(S)
Robertson, Baldwin; Astumian, R. Dean
PUB. DATE
June 1991
SOURCE
Journal of Chemical Physics;6/1/1991, Vol. 94 Issue 11, p7414
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The frequency dependence of the average rates of reactions catalyzed by one or more catalysts in a weak oscillating field is derived. The average rates are sums of Lorentzian curves whose characteristic frequencies are the inverse relaxation times of the normal modes of the kinetic system and whose amplitudes are quadratic in the field. The signs of the Lorentz amplitudes can be either positive or negative, so the rates versus frequency can have a variety of shapes, including frequency windows. One can get relaxation times and amplitudes by measuring steady-state rates as a function of the frequency of the field. The theory is applied to determine the Lorentz amplitudes and characteristic frequencies of ion transport rates catalyzed by Na+–K+–ATPase in erythrocytes.
ACCESSION #
7617086

 

Related Articles

  • Nonlinear dynamical properties of an oscillating tip--cantilever system in the tapping mode. Nony, L.; Boisgard, R. // Journal of Chemical Physics;7/22/1999, Vol. 111 Issue 4, p1615 

    Studies the nonlinear dynamical properties of an oscillating tip-cantilever system in the tapping mode. Extraction of analytical expressions describing the tapping mode; Attractive interaction between the tip and the sample; Intermittent contact regime; Attractive and repulsive fields.

  • Explicit solutions of normal form of driven oscillatory systems. Tsarouhas, George E.; Ross, John // Journal of Chemical Physics;12/1/1987, Vol. 87 Issue 11, p6538 

    We consider an oscillatory dissipative system driven by external sinusoidal perturbations of given amplitude Q and frequency ω. The kinetic equations are transformed to normal form and solved for small Q, near a Hopf bifurcation to oscillations in the autonomous system, for ratios ωn to...

  • Surface-induced chemical oscillations and their influence on space- and time-periodic patterns. Riecke, Hermann; Kramer, Lorenz // Journal of Chemical Physics;10/15/1985, Vol. 83 Issue 8, p3941 

    Within the framework of a reaction-diffusion model we study the influence of active or passive surfaces (e.g., membranes) on extended chemical systems. The surface is described by boundary conditions. Using linear stability analysis we find time-independent boundary conditions which induce...

  • Microscopic simulation of chemical oscillations in homogeneous systems. Baras, F.; Pearson, J. E.; Mansour, M. Malek // Journal of Chemical Physics;10/15/1990, Vol. 93 Issue 8, p5747 

    A microscopic computer experiment is set up to investigate the statistical properties of far from equilibrium homogeneous chemical systems undergoing instabilities. Sustained periodic behavior of limit cycle type is observed. Both the frequency and the amplitude of the oscillations are found to...

  • Three Waves of Chemical Dynamics. Gorban, A. N.; Yablonsky, G. S. // Mathematical Modelling of Natural Phenomena;Jan2015, Vol. 10 Issue 1, p1 

    Three epochs in development of chemical dynamics are presented. We try to understand the modern research programs in the light of classical works.

  • Spatiotemporal motions due to global interaction. Middya, Usuf; Luss, Dan; Sheintuch, Moshe // Journal of Chemical Physics;3/1/1994, Vol. 100 Issue 5, p3568 

    The global interaction between the spatial average of the autocatalytic variable in a reactive (catalytic, electrochemical, gel) medium and a surrounding mixed fluid in a continuously fed vessel may induce a rich structure of spatiotemporal patterns that would not exist otherwise. Patterns may...

  • Bistable limit cycle oscillations in chemical systems. II. Mechanisms for noise-induced transitions. Celarier, Edward; Kapral, Raymond // Journal of Chemical Physics;3/15/1987, Vol. 86 Issue 6, p3366 

    External noise coupled to Rössler’s model of a nonlinear chemical system is considered, and noise-induced transitions between coexisting three-looped limit cycles are studied. Two mechanisms account for these transitions. These are analogs of mechanisms which have been identified for...

  • Effects of local reactant concentration perturbations in oscillatory catalysis. Lund, C.D.; Surko, C.M. // Journal of Chemical Physics;4/1/1998, Vol. 108 Issue 13, p5565 

    Investigates the effects of local reactant concentrations perturbations in oscillatory catalysis. Introduction of carbon monoxide to the catalyst; Examination of the transient response of the system; Comparison of observed behavior and predictions from models for the oscillations.

  • Rabi oscillations in the dissociative continuum: Rotation and alignment effects. Granucci, Giovanni; Magnier, Sylvie; Persico, Maurizio // Journal of Chemical Physics;1/15/2002, Vol. 116 Issue 3, p1022 

    We have simulated a set of experiments in which Rabi oscillations are induced in bound-free and free-free transitions of a diatomic molecule. Dissociative vibrational states belonging to different electronic terms are involved. We show analytically and confirm computationally that a simple...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics