Staggering dominolike blast front motion in a one-dimensional cold gas
Artykuł w czasopiśmie
MNiSW
140
Lista 2024
| Status: | |
| Autorzy: | Holovatch Taras, Kozitsky Yuri, Pilorz Krzysztof, Holovatch Yurij |
| Dyscypliny: | |
| Aby zobaczyć szczegóły należy się zalogować. | |
| Rok wydania: | 2026 |
| Wersja dokumentu: | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 3 |
| Wolumen/Tom: | 114 |
| Numer artykułu: | 034105 |
| Strony: | 1 - 15 |
| Impact Factor: | 2,5 |
| Web of Science® Times Cited: | 0 |
| Scopus® Cytowania: | 0 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| URL danych badawczych | LINK |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | TAK |
| Licencja: | |
| Sposób udostępnienia: | Witryna wydawcy |
| Wersja tekstu: | Ostateczna wersja opublikowana |
| Czas opublikowania: | W momencie opublikowania |
| Data opublikowania w OA: | 3 września 2026 |
| Abstrakty: | angielski |
| One-dimensional alternating particle systems are widely used to study interconnections between the hydro- dynamics of blast waves in a gas-like medium and the Newtonian dynamics of its corpuscular constituents. In this article, we study the model in which point particles with masses m, μ, m, μ, . . . , (m μ) are distributed on the positive half-line R+. Their dynamics are initiated by giving a positive velocity to the leftmost particle; in its course, the particles undergo elastic collisions. For this model with m/μ = 2, it has been established that the dynamics that start from random initial positions are consistent with predictions based on Euler’s hydrodynamic equation. In particular, they have the following properties: (i) the position of the rightmost particle (shock front) evolves as t δ with δ < 1; (ii) recoiled particles behind the front enter the negative half-axis; and (iii) particles with locations x 0 move ballistically and eventually take over the total energy of the system. In this paper, we present numerical and analytical results for the dynamics of this model with nonrandom (typically equidistant) initial positions and various values of m/μ. For m/μ = 2 and equidistant initial positions, our results qualitatively agree with those just mentioned. At the same time, we found an infinite family of numbers {Mk} such that, for m/μ = Mk, the hydrodynamic behavior mentioned changes drastically to the following. At each moment, only a single triplet m, μ, m is in motion, whereas all other particles are at rest. In the moving triplet, two heavy particles move to the right, while the lighter particle oscillates between them, transferring energy and momentum to the right. As a result, the shock front moves ballistically with an average velocity equal to the initial one. Such a ‘staggering domino-like’ picture is obtained as an exact solution, which yields, in particular, explicit formulas for Mk and the particle velocities and positions. Its details and importance in a wider context are also discussed. |
