INVARIANT MANIFOLDS FOR PHYSICAL AND CHEMICAL KINETICS (Lecture Notes in Physics 660) By A. N. GORBAN and I. V. KARLIN: 495 pp., £77, ISBN 3-540-22684-2 (Springer, Heidelberg, 2005)

2006 ◽  
Vol 38 (03) ◽  
pp. 521-525
Author(s):  
Sauro Succi
Keyword(s):  
Chemical Kinetics ◽  
Invariant Manifolds ◽  
Lecture Notes ◽  
Physical And Chemical

scholarly journals Fast and slow invariant manifolds in chemical kinetics

2013 ◽  
Vol 65 (10) ◽  
pp. 1502-1515 ◽  
Author(s):  
V. Bykov ◽  
V. Gol’dshtein
Keyword(s):  
Chemical Kinetics ◽  
Invariant Manifolds

A Simplified Method to Assess the Risk of Geotechnical Engineering under Hydro-Chemical Corrosion

2011 ◽  
Vol 243-249 ◽  
pp. 2952-2957
Author(s):  
Peng Li ◽  
Guo He Li ◽  
Jian Liu
Keyword(s):  
Mechanical Properties ◽  
Chemical Kinetics ◽  
Geotechnical Engineering ◽  
Damage Index ◽  
Chemical Thermodynamic ◽  
Chemical Corrosion ◽  
Long Term Stability ◽  
Physical And Chemical ◽  
Reaction Direction

Rock mass are subject to continuous changes induced by physical and chemical processes of natural and anthropic origin. Such changes affect their mechanical properties. To quantitatively evaluate the hydro-chemical corrosion, the theories of chemical thermodynamic and chemical kinetics are introduced. An index was proposed, which provides a criterion to judge whether the corrosion would be happened and indicated the reaction direction. Then based on theoretical and testing results, a hydro-chemical damage index was proposed. And a series of damage degrees of sandstone under different circumstances, which consider the variations of pH values, temperatures, ions species and ions concentrations, were calculated by chemical kinetics method. Based on the results, the sensitivity of influencing factors was discussed. According to the calculation and the theory of poromechanics or testing results, the mechanical properties of geotechnical materials under hydro-chemical corrosion process can be predicted, so can assess the risk of geotechnical engineering long-term stability.

scholarly journals Reaction–diffusion with stochastic decay rates

2017 ◽  
Vol 19 (29) ◽  
pp. 18863-18879 ◽  
Author(s):  
G. John Lapeyre ◽  
Marco Dentz
Keyword(s):  
Chemical Kinetics ◽  
Power Law ◽  
Reaction Times ◽  
Reaction Diffusion ◽  
Decay Rates ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Mesoscopic Scale ◽  
Physical And Chemical

Microscopic physical and chemical fluctuations in a reaction–diffusion system lead to anomalous chemical kinetics and transport on the mesoscopic scale. Emergent non-Markovian effects lead to power-law reaction times and localization of reacting species.

Decay of Low-Barrier Metastable State: Middle Friction

2016 ◽  
Vol 685 ◽  
pp. 124-127
Author(s):  
N.E. Aktaev
Keyword(s):  
Decay Rate ◽  
Barrier Height ◽  
Chemical Kinetics ◽  
Potential Barrier ◽  
Metastable State ◽  
Potential Barrier Height ◽  
Standard Formula ◽  
Limiting Case ◽  
Physical And Chemical

In the framework of the generalized Kramers theory of physical and chemical kinetics the relation for the decay rate of the metastable state is obtained. The peculiarity of the system is the ratio of the potential barrier height to temperature of the system. This ratio is much less than unity. To study the process we introduce the concept of the effective square of the potential barrier. It is shown that in the limiting case the obtained relation becomes the standard formula (Kramers formula) for the decay rate.

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