We study the dynamics of Fermi-Pasta-Ulam (FPU) chains with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is described in the continuum limit by a Generalized Fractional Boussinesq differential Equation (GFBE), whose derivation is performed in full detail. We also discuss a version of the model where couplings are alternating in sign.
Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
Trombettoni A;Ruffo S
2018
Abstract
We study the dynamics of Fermi-Pasta-Ulam (FPU) chains with both harmonic and anharmonic power-law long-range interactions. We show that the dynamics is described in the continuum limit by a Generalized Fractional Boussinesq differential Equation (GFBE), whose derivation is performed in full detail. We also discuss a version of the model where couplings are alternating in sign.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_385124-doc_131920.pdf
solo utenti autorizzati
Descrizione: Fermi-Pasta-Ulam chains with harmonic and anharmonic long-range interactions
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
142.89 kB
Formato
Adobe PDF
|
142.89 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
