Excitation waves in reaction–diffusion media with non-monotonic dispersion relations

نویسندگان

  • Chad T Hamik
  • Oliver Steinbock
چکیده

We report results on chemical wave propagation obtained from experiments with a modified Belousov–Zhabotinsky reaction. Under pseudo-onedimensional reaction conditions, excitation pulses either form closely stacked, stable wavepackets or merge with a slow leading pulse in front-to-back collisions. Moreover, wave stacking can involve the cascading formation of metastable clusters. These phenomena are due to anomalous dispersion relations in which the derivative of the pulse speed with respect to wavelength can involve negative values. Wave stacking and merging are also observed in thin reaction layers where they affect the evolution of target patterns. Additional results on the concentration dependences of the overall dynamics and pulse speeds are presented.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Anomalous dispersion in the Belousov–Zhabotinsky reaction: Experiments and modeling

We report results on dispersion relations and instabilities of traveling waves in excitable systems. Experiments employ solutions of the 1,4-cyclohexanedione Belousov–Zhabotinsky reaction confined to thin capillary tubeswhich create a pseudo-one-dimensional system. Theoretical analyses focus on a threevariable reaction–diffusion model that is known to reproduce qualitatively many of the experim...

متن کامل

Dynamics of excitation pulses with attractive interaction: kinematic analysis and chemical wave experiments.

We present a theoretical analysis of stacking and destacking wave trains in excitable reaction-diffusion systems with anomalous velocity-wavelength dependence. For linearized dispersion relations, kinematic analysis yields an analytical function that rigorously describes front trajectories. The corresponding accelerations have exactly one extremum that slowly decays with increasing pulse number...

متن کامل

Rheological Response and Validity of Viscoelastic Model Through Propagation of Harmonic Wave in Non-Homogeneous Viscoelastic Rods

This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest....

متن کامل

Parametric Forcing of Waves with Non-Monotonic Dispersion Relation: Domain Structures in Ferrofluids?

Surface waves on ferrofluids exposed to a dc-magnetic field exhibit a nonmonotonic dispersion relation. The effect of a parametric driving on such waves is studied within suitable coupled Ginzburg-Landau equations. Due to the non-monotonicity the neutral curve for the excitation of standing waves can have up to three minima. The stability of the waves with respect to long-wave perturbations is ...

متن کامل

Theory of Nonlinear s-Polarized Phonon-Polaritons in Multilayered Structures

A theory is presented for the dispersion relations of the nonlinear phonon-polaritons arising when phonons are coupled to the electromagnetic waves in multilayered structures of nonlinear materials. The calculations are applied to a multilayered structure consisting of a thin film surrounded by semi-infinite bounding media where each layer may have a frequency dependent dielectric function and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003