A Steady-State Approximation to the Two-Dimensional Master Equation for Chemical Kinetics Calculations

Thanh Lam Nguyen; John F. Stanton

doi:10.1021/acs.jpca.5b00997

A Steady-State Approximation to the Two-Dimensional Master Equation for Chemical Kinetics Calculations

The Journal of Physical Chemistry A ◽

10.1021/acs.jpca.5b00997 ◽

2015 ◽

Vol 119 (28) ◽

pp. 7627-7636 ◽

Cited By ~ 16

Author(s):

Thanh Lam Nguyen ◽

John F. Stanton

Keyword(s):

Steady State ◽

Master Equation ◽

Chemical Kinetics ◽

Two Dimensional ◽

State Approximation ◽

Steady State Approximation

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Singular perturbation refinement to quasi-steady state approximation in chemical kinetics

Chemical Engineering Science ◽

10.1016/0009-2509(63)85003-4 ◽

1963 ◽

Vol 18 (3) ◽

pp. 177-188 ◽

Cited By ~ 88

Author(s):

J.R. Bowen ◽

A. Acrivos ◽

A.K. Oppenheim

Keyword(s):

Steady State ◽

Singular Perturbation ◽

Chemical Kinetics ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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The steady-state approximation as a centre manifold elimination in chemical kinetics

Journal of the Chemical Society Faraday Transactions 2 Molecular and Chemical Physics ◽

10.1039/f29868200849 ◽

1986 ◽

Vol 82 (5) ◽

pp. 849-855 ◽

Cited By ~ 2

Author(s):

Ariel Fernández

Keyword(s):

Steady State ◽

Chemical Kinetics ◽

Centre Manifold ◽

State Approximation ◽

Steady State Approximation

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Steady-state approximation to the master equation for thermal dissociation reactions

Chemical Physics Letters ◽

10.1016/0009-2614(96)00301-6 ◽

1996 ◽

Vol 254 (5-6) ◽

pp. 358-364 ◽

Cited By ~ 3

Author(s):

Nicholas J.B. Green ◽

Zaheer A. Bhatti

Keyword(s):

Steady State ◽

Master Equation ◽

Thermal Dissociation ◽

State Approximation ◽

Steady State Approximation

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An Evaluation of Explicit Pseudo-Steady-State Approximation Schemes for Stiff ODE Systems from Chemical Kinetics

Journal of Computational Physics ◽

10.1006/jcph.1994.1141 ◽

1994 ◽

Vol 113 (2) ◽

pp. 347-352 ◽

Cited By ~ 35

Keyword(s):

Steady State ◽

Chemical Kinetics ◽

Approximation Schemes ◽

State Approximation ◽

Steady State Approximation ◽

Ode Systems

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A pseudo-steady state approximation for stochastic chemical kinetics

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-1979-9-1-51 ◽

1979 ◽

Vol 9 (1) ◽

pp. 51-72 ◽

Cited By ~ 7

Author(s):

Thomas Darden

Keyword(s):

Steady State ◽

Chemical Kinetics ◽

Stochastic Chemical Kinetics ◽

State Approximation ◽

Steady State Approximation

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Thermal Diffusivity of Heterogeneous Materials. II. Limits of the Steady‐State Approximation

Journal of Applied Physics ◽

10.1063/1.1660793 ◽

1972 ◽

Vol 43 (1) ◽

pp. 112-117 ◽

Cited By ~ 31

Author(s):

Jerry F. Kerrisk

Keyword(s):

Steady State ◽

Thermal Diffusivity ◽

Heterogeneous Materials ◽

State Approximation ◽

Steady State Approximation

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Comments on the pseudo-steady state approximation for moving boundary problems

Chemical Engineering Science ◽

10.1016/0009-2509(65)80011-2 ◽

1965 ◽

Vol 20 (7) ◽

pp. 712-713 ◽

Cited By ~ 19

Author(s):

J. Ray Bowen

Keyword(s):

Steady State ◽

Moving Boundary ◽

Moving Boundary Problems ◽

Boundary Problems ◽

State Approximation ◽

Steady State Approximation

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The Quasi-Steady-State Approximation: Numerical Validation

Journal of Chemical Education ◽

10.1021/ed075p1158 ◽

1998 ◽

Vol 75 (9) ◽

pp. 1158 ◽

Cited By ~ 3

Author(s):

Richard A. B. Bond ◽

Bice S. Martincigh ◽

Janusz R. Mika ◽

Reuben H. Simoyi

Keyword(s):

Steady State ◽

Quasi Steady State ◽

Numerical Validation ◽

State Approximation ◽

Steady State Approximation

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Erratum to “Zero-order ultrasensitivity: A study of criticality and fluctuations under the total quasi-steady state approximation in the linear noise regime” [J. Theor. Biol. 344 (2014) 1–11]

Journal of Theoretical Biology ◽

10.1016/j.jtbi.2014.02.018 ◽

2014 ◽

Vol 350 ◽

pp. 111

Author(s):

P.K. Jithinraj ◽

Ushasi Roy ◽

Manoj Gopalakrishnan

Keyword(s):

Steady State ◽

Zero Order ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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Revisiting the quasi-steady state approximation for modeling heat transport during directional crystal growth. The growth rate can and should be calculated!

Journal of Crystal Growth ◽

10.1016/s0022-0248(03)01154-0 ◽

2003 ◽

Vol 254 (1-2) ◽

pp. 267-278 ◽

Cited By ~ 6

Author(s):

Alexander Virozub ◽

Simon Brandon

Keyword(s):

Growth Rate ◽

Crystal Growth ◽

Steady State ◽

Heat Transport ◽

Quasi Steady State ◽

State Approximation ◽

Steady State Approximation

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