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Mixing in a Meandering Jet: a Markovian Approximation

chao-dyn · Submitted 20 Jan 1998

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

The authors' main claim The outcome of the comparison suggests the possibility of describing in a satisfactory way at least some of the mixing properties ot the system through the very simplified approach of a first order markovian approximation, whereas other properties exhibit memory patterns of higher order.

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arXiv IDchao-dyn/9801027 (version 1)
Pith IDNZGC5U2M, Pith's permanent record of this paper and its review
CitationA. Vulpiani, E. Zambianchi, G. Lacorata, M. Cencini. "Mixing in a Meandering Jet: a Markovian Approximation." arXiv:chao-dyn/9801027 (1998). https://pith.science/paper/NZGC5U2M
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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, 6,224 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.90 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.02 · states quantitative result 0.06 · compares with prior results 0.73 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are considered, first separately and then combined together: deterministic chaotic advection, induced by a time dependence of the flow, and turbulent diffusion, described by means of a stochastic model for particle motion. Rather than looking at the details of particle trajectories, fluid exchange is studied in terms of markovian approximations. The two-dimensional physical space accessible to fluid particles is subdivided into regions characterized by different Lagrangian behaviours. From the observed transitions between regions it is possible to derive a number of relevant quantities characterizing transport and mixing in the studied flow regime, such as residence times, meridional mixing, correlation functions. These estimated quantities are compared with the corresponding ones resulting from the actual simulations. The outcome of the comparison suggests the possibility of describing in a satisfactory way at least some of the mixing properties ot the system through the very simplified approach of a first order markovian approximation, whereas other properties exhibit memory patterns of higher order.

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 In this paper we investigate mixing and transport in correspondence of a meandering jet. contribution 0.91 0.87 0.02 asserted 0.66
s1 The large-scale flow field is a kinematically assigned streamfunction. method 0.97 0.45 0.01 asserted 1.00
s2 Two basic mixing mechanisms are considered, first separately and then combined together: deterministic chaotic advection, induced by a time dependence of the flow, and turbulent diffusion, described by means of a stochastic model for particle motion. method 0.93 0.69 0.03 asserted 0.97
s3 Rather than looking at the details of particle trajectories, fluid exchange is studied in terms of markovian approximations. method 0.98 0.87 0.04 asserted 0.97
s4 The two-dimensional physical space accessible to fluid particles is subdivided into regions characterized by different Lagrangian behaviours. method 0.99 0.84 0.02 asserted 0.99
s5 From the observed transitions between regions it is possible to derive a number of relevant quantities characterizing transport and mixing in the studied flow regime, such as residence times, meridional mixing, correlation functions. method 0.85 0.90 0.05 asserted 0.59
s6 These estimated quantities are compared with the corresponding ones resulting from the actual simulations. method 0.70 0.93 0.04 asserted 0.93
s7 The outcome of the comparison suggests the possibility of describing in a satisfactory way at least some of the mixing properties ot the system through the very simplified approach of a first order markovian approximation, whereas other properties exhibit memory patterns of higher order. interpretation 0.76 0.94 0.89 hedged possibility 1.00

What kind of paper the classifier reports this is: simulation study 0.79 · 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

In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are considered, first separately and then combined together: deterministic chaotic advection, induced by a time dependence of the flow, and turbulent diffusion, described by means of a stochastic model for particle motion. Rather than looking at the details of particle trajectories, fluid exchange is studied in terms of markovian approximations. The two-dimensional physical space accessible to fluid particles is subdivided into regions characterized by different Lagrangian behaviours. From the observed transitions between regions it is possible to derive a number of relevant quantities characterizing transport and mixing in the studied flow regime, such as residence times, meridional mixing, correlation functions. These estimated quantities are compared with the corresponding ones resulting from the actual simulations. The outcome of the comparison suggests the possibility of describing in a satisfactory way at least some of the mixing properties ot the system through the very simplified approach of a first order markovian approximation, whereas other properties exhibit memory patterns of higher order.

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