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Double Phase Slips and Bound Defect Pairs in Parametrically Driven Waves

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Hermann Riecke, Glen D. Granzow

chao-dyn · Submitted 11 Jul 1997

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

The authors' main claim Our simulations indicate the possibility of an unbinding transition of these pairs, which is associated with a transition from ordered to disordered defect chaos.

how it is stated · hedged possibility 1.00 read the record →

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arXiv IDchao-dyn/9707013 (version 1)
Pith IDKVH4AEB5, Pith's permanent record of this paper and its review
CitationGlen D. Granzow, Hermann Riecke. "Double Phase Slips and Bound Defect Pairs in Parametrically Driven Waves." arXiv:chao-dyn/9707013 (1997). https://pith.science/paper/KVH4AEB5
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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,809 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Spatio-temporal chaos in parametrically driven waves is investigated in one and two dimensions using numerical simulations of Ginzburg-Landau equations. A regime is identified in which in one dimension the dynamics are due to double phase slips. In very small systems they are found to arise through a Hopf bifurcation off a mixed mode. In large systems they can lead to a state of localized spatio-temporal chaos, which can be understood within the framework of phase dynamics. In two dimensions the double phase slips are replaced by bound defect pairs. Our simulations indicate the possibility of an unbinding transition of these pairs, which is associated with a transition from ordered to disordered defect chaos.

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 Spatio-temporal chaos in parametrically driven waves is investigated in one and two dimensions using numerical simulations of Ginzburg-Landau equations. contribution 0.53 0.92 0.04 asserted 0.98
s1 A regime is identified in which in one dimension the dynamics are due to double phase slips. result 0.99 0.90 0.20 asserted 1.00
s2 In very small systems they are found to arise through a Hopf bifurcation off a mixed mode. result 0.98 0.90 0.07 asserted 1.00
s3 In large systems they can lead to a state of localized spatio-temporal chaos, which can be understood within the framework of phase dynamics. interpretation 0.55 0.81 0.18 asserted 0.86
s4 In two dimensions the double phase slips are replaced by bound defect pairs. result 1.00 0.84 0.21 asserted 1.00
s5 Our simulations indicate the possibility of an unbinding transition of these pairs, which is associated with a transition from ordered to disordered defect chaos. interpretation 0.51 0.92 0.36 hedged possibility 1.00

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

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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

Spatio-temporal chaos in parametrically driven waves is investigated in one and two dimensions using numerical simulations of Ginzburg-Landau equations. A regime is identified in which in one dimension the dynamics are due to double phase slips. In very small systems they are found to arise through a Hopf bifurcation off a mixed mode. In large systems they can lead to a state of localized spatio-temporal chaos, which can be understood within the framework of phase dynamics. In two dimensions the double phase slips are replaced by bound defect pairs. Our simulations indicate the possibility of an unbinding transition of these pairs, which is associated with a transition from ordered to disordered defect chaos.

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