Results 191 to 200 of about 11,639 (211)

Quasistationary distributions for autocatalytic reactions

Journal of Statistical Physics, 1987
We provide simple conditions for the existence of quasistationary distributions that can be used to describe the long-term behaviour ofopen autocatalytic reaction systems. We illustrate with reference to a particular example that the quasistationary distribution is close to the usual stationary diffusion approximation.
Parsons, RW, Pollett, PK
openaire   +2 more sources

Critical behavior of an autocatalytic reaction model

Physical Review A, 1990
Irreversible many-particle dynamical systems are relevant to a variety of phenomena in physics, chemistry, and biology. We present a study of an irreversible kinetic reaction model for a one-component autocatalytic reaction A+A\ensuremath{\rightarrow}${\mathit{A}}_{2}$.
, Aukrust, , Browne, , Webman
openaire   +2 more sources

Marginal states in a cubic autocatalytic reaction

The Journal of Chemical Physics, 2011
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.
Debojyoti, Das, Pushpita, Ghosh, Deb Shankar, Ray   +2 more
openaire   +2 more sources

Some properties of autocatalytic reactions

Chemical Engineering Science, 1968
Abstract A chain of autocatalytic reactions, first proposed by Lotka in 1910, exhibit some unusual behaviors. Under proper conditions the concentrations of various species oscillate about steady state values. Conditions that lead to such oscillations are discussed. When these oscillating concentrations are plotted against each other, a closed ring or
openaire   +1 more source

Thermal explosion of autocatalytic reaction

Journal of Loss Prevention in the Process Industries, 2003
Abstract Analytical and numerical solutions are used to determine the critical conditions for thermal explosion of autocatalytic reaction. The solutions covers both the reaction governed by the Arrhenius kinetics equation and the Frank-Kamenetskii approximation for that equation. The definition of criticality as the point at which d 2 θ / dβ 2 =0,
openaire   +1 more source

Statistical Fluctuations in Autocatalytic Reactions

The Journal of Chemical Physics, 1940
The differential equations describing the statistical fluctuations of a simple autocatalytic reaction mechanism are set up and solved completely. The fluctuations are found to approach a constant limiting value when the amount of reaction product is large compared to the amount which initiates the reaction.
openaire   +1 more source

SURFACE EXPLOSION IN AUTOCATALYTIC MONOMER-MONOMER REACTIONS

Fractals, 1996
A lattice model of the A-B type has been introduced recently to describe temporal oscillations and pattern formation for the NO-CO reaction catalyzed by a Pt surface. Under certain experimental conditions one observes the rapid reactional removal of an adsorbed layer upon nucleation — a direct consequence of the autocatalytic nature of the reaction ...
openaire   +2 more sources

Reaction and diffusion in autocatalytic systems

Chemical Physics, 1974
Reaction schemes which give rise to spatial and temporal oscillations often involve an autocatalytic step, e.g., A ← B → 2B. The coupled reaction-diffusion equations for this reaction taking place in a closed system with A and B diffusing independently are solved using an extended WKB method, giving approximate analytical describing both the space and ...
Collins, Michael A., Gilbert, Robert G.
openaire   +2 more sources

Autocatalytic reactions as dynamical systems on the interval

Journal of Mathematical Physics, 1993
Single chemical reactions that preserve the total number of molecules in a system are considered, and this is expressed by saying that such reactions are stoichiometrically balanced. The study is restricted to those systems whose forward and backward rate constants are equal.
openaire   +2 more sources

Another rate view on autocatalytic reactions

2023
Discussions on the proper conceptualization and definition of autocatalysis are still lively. Several examples of autocatalytic reaction schemes are analyzed for their concentration and rate time profiles using computer modeling. Autocatalytic features should be inherent in a relevant scheme and its real demonstration further depends on “proper ...
openaire   +1 more source