Nonequilibrium and thermal transport properties of the Toda chain, a prototype of classically integrable system, subject to additional (nonintegrable) terms are considered. In particular, we study via equilibrium and nonequilibrium simulations, the Toda lattice with a power-law pinning potential, recently analyzed by Lebowitz and Scaramazza [ArXiv:1801.07153]. We show that, according to general expectations, even the case with quadratic pinning is genuinely non-integrable, as demonstrated by computing the Lyapunov exponents, and displays normal (diffusive) conductivity for very long chains. However, the model has unexpected dynamical features and displays strong finite-size effects and slow decay of correlations to be traced back to the propagation of soliton-like excitations, weakly affected by the harmonic pinning potential. Some novel results on current correlations for the standard integrable Toda model are also reported.

Transport in perturbed classical integrable systems: The pinned Toda chain / Di Cintio, Pierfrancesco; Iubini, Stefano; Lepri, Stefano; Livi, Roberto. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - STAMPA. - 117:(2018), pp. 249-254. [10.1016/j.chaos.2018.11.003]

Transport in perturbed classical integrable systems: The pinned Toda chain

Di Cintio, Pierfrancesco
Membro del Collaboration Group
;
Iubini, Stefano
Membro del Collaboration Group
;
Lepri, Stefano
Membro del Collaboration Group
;
Livi, Roberto
Membro del Collaboration Group
2018

Abstract

Nonequilibrium and thermal transport properties of the Toda chain, a prototype of classically integrable system, subject to additional (nonintegrable) terms are considered. In particular, we study via equilibrium and nonequilibrium simulations, the Toda lattice with a power-law pinning potential, recently analyzed by Lebowitz and Scaramazza [ArXiv:1801.07153]. We show that, according to general expectations, even the case with quadratic pinning is genuinely non-integrable, as demonstrated by computing the Lyapunov exponents, and displays normal (diffusive) conductivity for very long chains. However, the model has unexpected dynamical features and displays strong finite-size effects and slow decay of correlations to be traced back to the propagation of soliton-like excitations, weakly affected by the harmonic pinning potential. Some novel results on current correlations for the standard integrable Toda model are also reported.
2018
117
249
254
Di Cintio, Pierfrancesco; Iubini, Stefano; Lepri, Stefano; Livi, Roberto
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1153226
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