DOI QR코드

DOI QR Code

The Complex Travelling Wave by Two Directional Differential Flow Induced Chemical Instability

  • Published : 1999.04.20

Abstract

A new kind of differential flow induced chemical wave is introduced by theoretical calculation. A differential flow between the counter acting species of a dynamical activator-inhibitor system may destabilize its homogeneous reference state and cause the medium to self-organize into a pattern of travelling waves through the differential flow instability (DIFI). In a chemical system, also, the differential bulk flow may change the dynamics of the system, thus it has been refered to as the differential flow induced chemical instability (DIFICI). For DlFICI experiments, one directional flow has been commonly employed, resulting in periodic wave patterns generally. In this study, we considered two directional flow for the DIFICI wave by exchanging artificially the flow direction at some period.

Keywords

References

  1. Chemical Waves and Patterns Menzinger, M.;Rovinsky, A.B.;Kapral, R.(ed.);Showalter, K.(ed.)
  2. Phys. Rev. Lett. v.69 Rovinsky, A.B.;Menzinger, M.
  3. Phys. Rev. Lett. v.70 Rovinsky, A.B.;Menzinger, M.
  4. Chemical Oscillations and Instabilities Gray, P.;Scott, S.K.
  5. Mathematical Biology Murray, J.D.
  6. Phys. Lett. A v.216 Rovinsky, A.B.;Nakata, S.;Yakhnin, V.Z.;Menzinger, M.
  7. J. Phys. Chem. v.98 Yaknin, V.Z.;Rovinsky, A.B.;Menzinger, M.
  8. J. Phys. Chem. v.100 Wu, X.G.;Nakata, S.;Menzinger, M.;Rovinsky, A.B.
  9. J. Phys. Chem. v.88 Rovinsky, A.B.;Zhabotinsky, A.M.
  10. Ocillations and Travelling Waves in Chemical System Belousov, B.P.;Field, R.J.(ed.);Burger, M(ed.)
  11. Chemical Osillations and Instabilities Gray, P.;Scott, S.K.
  12. Science v.181 Winfree, A.T.
  13. Mathematical Model in Biology Edelstein-Keshet, L.