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Advanced quasi-steady state approximation for chemical kinetics

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Sharath Girimaji, Ashraf Ibrahim

Chemical Physics · Submitted 8 Jul 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Starting from invariant manifold description, we develop an advanced quasi-steady state assumption which (i) is independent of the choice of the retained (slow) species; (ii) possesses much improved physical and mathematical characteristics; and (iii) can be specialized for any objective function.

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arXiv ID1107.1710 (version 2)
Pith IDHW7OMMGE, Pith's permanent record of this paper and its review
CitationAshraf Ibrahim, Sharath Girimaji. "Advanced quasi-steady state approximation for chemical kinetics." arXiv:1107.1710 (2011). https://pith.science/paper/HW7OMMGE
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,651 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.84 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Computational feasibility of turbulent reacting flows hinges on the reduction of large chemical kinetics systems to smaller more manageable reaction sets. Recently, several sophisticated reduction techniques have been developed but they continue to be computationally prohibitive for practical three-dimensional unsteady computations. For such applications, the classical quasi-steady state assumption (QSSA), despite serious shortcomings, continues to be popular due to its conceptual clarity and computational simplicity. Starting from invariant manifold description, we develop an advanced quasi-steady state assumption which (i) is independent of the choice of the retained (slow) species; (ii) possesses much improved physical and mathematical characteristics; and (iii) can be specialized for any objective function.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Computational feasibility of turbulent reacting flows hinges on the reduction of large chemical kinetics systems to smaller more manageable reaction sets. background 1.00 0.05 0.04 asserted 1.00
s1 Recently, several sophisticated reduction techniques have been developed but they continue to be computationally prohibitive for practical three-dimensional unsteady computations. background 0.67 0.05 0.03 asserted 1.00
s2 For such applications, the classical quasi-steady state assumption (QSSA), despite serious shortcomings, continues to be popular due to its conceptual clarity and computational simplicity. background 0.96 0.04 0.04 asserted 1.00
s3 Starting from invariant manifold description, we develop an advanced quasi-steady state assumption which (i) is independent of the choice of the retained (slow) species; (ii) possesses much improved physical and mathematical characteristics; and (iii) can be specialized for any objective function. contribution 0.97 0.96 0.74 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.99 · evidence from proof or derivation 0.91.

What was examined, and what was not

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not examined
  • full text
  • figures and tables
  • references and citing sentences
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Computational feasibility of turbulent reacting flows hinges on the reduction of large chemical kinetics systems to smaller more manageable reaction sets. Recently, several sophisticated reduction techniques have been developed but they continue to be computationally prohibitive for practical three-dimensional unsteady computations. For such applications, the classical quasi-steady state assumption (QSSA), despite serious shortcomings, continues to be popular due to its conceptual clarity and computational simplicity. Starting from invariant manifold description, we develop an advanced quasi-steady state assumption which (i) is independent of the choice of the retained (slow) species; (ii) possesses much improved physical and mathematical characteristics; and (iii) can be specialized for any objective function.

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