Kinetic equations from Hamiltonian dynamics : The Markovian limit

2005 ◽  
pp. 330-335
Author(s):  
H. Spohn
Keyword(s):  
Hamiltonian Dynamics ◽  
Kinetic Equations ◽  
Markovian Limit

Kinetic equations from Hamiltonian dynamics: Markovian limits

1980 ◽  
Vol 52 (3) ◽  
pp. 569-615 ◽  
Author(s):  
Herbert Spohn
Keyword(s):  
Hamiltonian Dynamics ◽  
Kinetic Equations

Nonlinear Markov Processes and Kinetic Equations

2009 ◽  
Author(s):  
Vassili N. Kolokoltsov
Keyword(s):  
Markov Processes ◽  
Kinetic Equations ◽  
Nonlinear Markov Processes

On Kinetic Equations in Heavy-Ion Physics

1996 ◽  
Vol 21 (5) ◽  
pp. 461-502 ◽  
Author(s):  
E. Suraud
Keyword(s):  
Kinetic Equations ◽  
Heavy Ion ◽  
Heavy Ion Physics

Hamiltonian Dynamics of Coupled Potential Vorticity and Internal Wave Motion: 1. Linear Modes

1993 ◽  
Author(s):  
Henry D. Abarbanel ◽  
Ali Rouhi
Keyword(s):  
Internal Wave ◽  
Potential Vorticity ◽  
Wave Motion ◽  
Hamiltonian Dynamics

The Kinetics of Glucose Decomposition with Sulfate Reduction in the Anaerobic Fluidized Bed Reactor

1993 ◽  
Vol 28 (2) ◽  
pp. 135-144 ◽  
Author(s):  
S. Matsui ◽  
R. Ikemoto Yamamoto ◽  
Y. Tsuchiya ◽  
B. Inanc
Keyword(s):  
Sulfate Reduction ◽  
Fluidized Bed ◽  
Kinetic Equations ◽  
Fluidized Bed Reactor ◽  
Order Reaction ◽  
First Order Reaction ◽  
First Order ◽  
Glucose Decomposition ◽  
Reaction Equations ◽  
Kinetics Of

Using a fluidized bed reactor, experiments on glucose decomposition with and without sulfate reduction were conducted. Glucose in the reactor was mainly decomposed into lactate and ethanol. Lactate was mainly decomposed into propionate and acetate, while ethanol was decomposed into propionate, acetate, and hydrogen. Sulfate reduction was not involved in the decomposition of glucose, lactate, and ethanol, but was related to propionate and acetate decomposition. The stepwise reactions were modeled using either a Monod expression or first order reaction kinetics in respect to the reactions. The coefficients of the kinetic equations were determined experimentally. The modified Monod and first order reaction equations were effective at predicting concentrations of glucose, lactate, ethanol, propionate, acetate, and sulfate along the beight of the reactor. With sulfate reduction, propionate was decomposed into acetate, while without sulfate reduction, accumulation of propionate was observed in the reactor. Sulfate reduction accelerated propionate conversion into acetate by decreasing the hydrogen concentration.

Numerical Method for Solving a System of Kinetic Equations Describing the Behavior of a Nonideal Gas

2020 ◽  
Vol 60 (9) ◽  
pp. 1488-1498
Author(s):  
M. V. Abgaryan ◽  
A. M. Bishaev ◽  
V. A. Rykov
Keyword(s):  
Numerical Method ◽  
Kinetic Equations ◽  
Nonideal Gas

Reesterification of ethyl acetate by propanol catalysed by glycidyl methacrylate copolymers containing sulphonic acid groups

1981 ◽  
Vol 46 (8) ◽  
pp. 1941-1946 ◽  
Author(s):  
Karel Setínek
Keyword(s):  
Liquid Phase ◽  
Ethyl Acetate ◽  
Kinetic Study ◽  
Gas Phase ◽  
Nonlinear Regression ◽  
Kinetic Data ◽  
Glycidyl Methacrylate ◽  
Kinetic Equations ◽  
Methacrylate Copolymers ◽  
Styrene Divinylbenzene

A series of differently crosslinked macroporous 2,3-epoxypropyl methacrylate-ethylenedimethacrylate copolymers with chemically bonded propylsulphonic acid groups were used as catalysts for the kinetic study of reesterification of ethyl acetate by n-propanol in the liquid phase at 52 °C and in the gas phase at 90 °C. Analysis of kinetic data by the method of nonlinear regression for a series of equations of the Langmuir-Hinshelwood type showed that kinetic equations which describe best the course of the reaction are the same as for the earlier studied sulphonated macroporous styrene-divinylbenzene copolymers. Compared types of catalysts differ, however, in the dependence of their activity on the degree of crosslinking of the copolymer used.

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