Marginal states in a cubic autocatalytic reaction

Das, Debojyoti ; Ghosh, Pushpita ; Ray, Deb Shankar (2011) Marginal states in a cubic autocatalytic reaction The Journal of Chemical Physics, 135 (12). 124104_1-124104_7. ISSN 0021-9606

Full text not available from this repository.

Official URL:

Related URL:


Marginal steady state belongs to a special class of states in nonlinear dynamics. To realize this state we consider a cubic autocatalytic reaction A + 2B→3B in a continuous-stirred-tank-reactor, where the flow rate of the reactant A can be controlled to manipulate the dynamical behavior of the open system. We demonstrate that when the flow rate is weakly noisy the autocatalytic reaction admits of a steady state which is marginal in nature and is surrounded by infinite number of periodic trajectories. When the uncatalyzed reaction A→B is included in the reaction scheme, there exists a marginal steady state which is a critical state corresponding to the point of transition between the flow branch and the equilibrium branch, similar to gas-liquid critical point of transition. This state loses its stability in the weak noise limit.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Catalysis; Noise; Nonlinear Dynamical Systems
ID Code:69932
Deposited On:12 Nov 2011 11:41
Last Modified:12 Nov 2011 11:41

Repository Staff Only: item control page