Asymmetric Shape and Dynamic Stability of Exciton-Phonon Solitons Moving in a Medium
Bibliographic record
Abstract
Solitons are known to move ballistically through a medium without change of their shape. In practice, the shape of a soliton can change, and a long lasting tail appears behind the soliton moving in a periodic medium. Such a behavior can be described within the model of exciton–phonon coherent states as a dynamic effect in soliton transport. We argue that the coupling between the bosonic excitations of the medium, such as excitons, and the elastic modes of it, such as phonons, can be responsible for these effects. We derive nonlinear dynamic equations for the excited medium in the long wavelength approximation (a generalized Zakharov system) and apply a ballistic ansatz for the coherent state of bosons and displacement field (a kind of the condensate in this model). Like solitons, the quasistationary solution we obtained can move through the medium ballistically. Unlike solitons and kinks, there are inhomogeneous corrections to the ballistic velocity and coherent phase of the condensate that control the change of the packet shape. In the limit of T → 0, laws of conservation prescribe formation of the cloud of collective excitations around the quasistationary Bose-core of the packet so that the density of the boson–phonon tail behind the moving coherent part can be estimated at any given t. The total packet can be associated with an exciton–phonon “comet” with the quasistable coherent Bose-“nucleus” and incoherent tail moving in the medium.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
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".