2016
DOI: 10.1209/0295-5075/113/14002
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Crossover between different universality classes: Scaling for thermal transport in one dimension

Abstract: -For thermal transport in one-dimensional (1D) systems, recent studies have suggested that employing different theoretical models and different numerical simulations under different system's parameter regimes might lead to different universality classes of the scaling exponents. In order to well understand the universality class(es), here we perform a direct dynamics simulation for two archetype 1D oscillator systems with quite different phonon dispersions under various system's parameters and find that there … Show more

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Cited by 20 publications
(9 citation statements)
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“…This is indeed indicated in Fig. 3(d) where the low frequency can be clearly identified (see also [34]). But after introducing the anharmonic LRIs, the situation reverses, i.e., as the anharmonicity increases we always see the attenuation of phonons beginning at the low frequency components [see Fig.…”
supporting
confidence: 72%
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“…This is indeed indicated in Fig. 3(d) where the low frequency can be clearly identified (see also [34]). But after introducing the anharmonic LRIs, the situation reverses, i.e., as the anharmonicity increases we always see the attenuation of phonons beginning at the low frequency components [see Fig.…”
supporting
confidence: 72%
“…3(a,b)]. Secondly, it is known that in lattices with only NN couplings supporting superdiffusive transport, the low frequency phonons are weakly damped due to the conserved feature of momentum [34,35]. As the NN anharmonicity increases we always see the damping of phonons starting from the high frequency components.…”
mentioning
confidence: 98%
“…More-interestingly, the second transition process seems discontinous ( Fig. 4), suggesting a feature similarly to that of structure phase transition [24,47]. Phase transitions.-We employ Fig.…”
mentioning
confidence: 95%
“…Anomalous heat conduction, typically characterized by κ = aN α with 0 < α ≤ 1, has however been shown to be a generic feature of one-dimensional momentum-conserving systems [31,17,29]. Violations of Fourier's law have been reported for a large variety of systems over the last decades both in theoretical models [30,22,36,11,23,48,15,7,38,42,40,2,24,26,3] and in nanotube experiments [8]. This phenomenon is usually accompanied by other puzzling features such as divergence of the time integral of the equilibrium currentcurrent correlations, superdiffusive propagation of local energy perturbations [35] and boundary singularities in the nonequilibrium stationary temperature profile [29].…”
mentioning
confidence: 99%