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Interaction of simple particles in soliton cellular automata

Papadopoulou Eleni, Saridakis Ioannis, Ablowitz Mark Jay, Fokas Athanassios Spyridon

Απλή Εγγραφή


URIhttp://purl.tuc.gr/dl/dias/0AF9029A-8B1F-431F-91E4-D56C97A14657-
Αναγνωριστικόhttps://doi.org/10.1002/sapm1989812153-
Γλώσσαen-
Μέγεθοςpages 153–180en
ΤίτλοςInteraction of simple particles in soliton cellular automataen
ΔημιουργόςPapadopoulou Elenien
ΔημιουργόςΠαπαδοπουλου Ελενηel
ΔημιουργόςSaridakis Ioannisen
ΔημιουργόςΣαριδακης Ιωαννηςel
ΔημιουργόςAblowitz Mark Jayen
ΔημιουργόςFokas Athanassios Spyridonen
ΕκδότηςElsevieren
ΠερίληψηWe consider a certain cellular automaton recently introduced by Park, Steiglitz, and Thurston. By introducing appropriate mathematical notation, the interaction of simple particles evolving according to this automaton rule is completely characterized analytically. It is found that: (1) If two particles have different speed and they interact, then they interact solitonically and, although they may interact a number of times, they finally separate with the faster particle moving in front of the slower one. (2) If two particles have the same speed and are close enough so that they interact, there exist two cases: either they will interact only once and then they will separate, travelling independently of each other, or they will form a new periodic configuration by interacting forever.en
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by/4.0/en
Ημερομηνία2015-10-20-
Ημερομηνία Δημοσίευσης1989-
Βιβλιογραφική ΑναφοράA.S. Fokas, E.P. Papadopoulou, Y.G. Saridakis and M.J. Ablowitz, "Interaction of Simple Particles in Soliton Cellular Automata", Stud. in Appl. Mathematics. vol. 81, no.2. pp. 153-180. Oct. 1989. doi:0.1002/sapm1989812153en

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