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Record W4288769026 · doi:10.1063/9780735424715_002

General Rigid Bead-Rod Macromolecular Theory

2022· book-chapter· en· W4288769026 on OpenAlexaff
M. A. Kanso, A. Jeffrey Giacomin

Bibliographic record

Venuenot available
Typebook-chapter
Languageen
FieldChemical Engineering
TopicRheology and Fluid Dynamics Studies
Canadian institutionsQueen's University
Fundersnot available
KeywordsMacromoleculeBeadSPHERESPrincipal axis theoremRigid bodyClassical mechanicsDimensionless quantityRheologyMaterials sciencePhysicsMechanicsChemistryGeometryComposite materialMathematics

Abstract

fetched live from OpenAlex

In the general rigid bead-rod theory, we explain the elasticity of a polymeric liquid by considering just the orientation of a suspension of macromolecules. With the general rigid bead-rod theory, we construct macromolecules from sets of beads whose positions, relative to one another, are fixed. The general rigid bead-rod theory is, thus, not to be confused with a freely jointed chain, where the beads are rigidly separated but the joints rotate freely. Our macromolecular bead-rod models are suspended in a Newtonian solvent. In this work, we neglect interactions of the solvent velocity fields, be they between the nearest beads (Stewart and Sørensen, 1972; and Piette et al., 2019b)1 or the nearestmacromolecules. With the general rigid bead-rod theory, we, thus, locate beads and their dimensionless massless rods along molecular chains, including rings, backbones, or branches. In this way, we can model anymacromolecular architecture. To any such collection of masses, we can associate a moment of inertia ellipsoid (MIE) whose center is the center of mass and whose principal moments of inertia match those of the macromolecule. The MIE determines the orientability of the macromolecules and, thus, the polymer contribution to the rheological properties.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.628
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0180.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.007
GPT teacher head0.202
Teacher spread0.195 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations7
Published2022
Admission routes1
Has abstractyes

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