Publisher's Note: Role of the range of the interactions in thermal conduction [Phys. Rev. E 
<b>94</b>
, 042117 (2016)]

Olivares, Carlos; Anteneodo, Celia

doi:10.1103/physreve.99.049901

Cited by 12 publications

(31 citation statements)

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“…The resulting NESS's have been studied for both the extensive coupling (see panel (a)) and for the finite coupling (see panel (b)). In agreement with previous observations obtained within the finite coupling scheme [6], we find that the temperature profiles are almost flat for α ≤ 1, while they are linear for α > 1. Moreover, the profiles do not display any relevant dependence on the choice of the coupling scheme.…”

Section: The Rotor Chainsupporting

confidence: 92%

“…fully localized) interactions it exhibits normal transport properties [16,17], at variance with most models of nonlinear chains, that have been found to exhibit a diverging heat conductivity κ with the system size N [1][2][3][4]. The main outcome reported in [6] is that Fourier law is recovered only for sufficiently short-range interactions, while the bulk conductivity seems to vanish in the mean-field limit.…”

Section: Introductionmentioning

confidence: 96%

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Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs

et al. 2018

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We investigate thermal conduction in arrays of long-range interacting rotors and Fermi-Pasta-Ulam (FPU) oscillators coupled to two reservoirs at different temperatures. The strength of the interaction between two lattice sites decays as a power α of the inverse of their distance. We point out the necessity of distinguishing between energy flows towards or from the reservoirs and those within the system. We show that energy flow between the reservoirs occurs via a direct transfer induced by long-range couplings and a diffusive process through the chain. To this aim, we introduce a decomposition of the steady-state heat current that explicitly accounts for such direct transfer of energy between the reservoir. For 0≤α<1, the direct transfer term dominates, meaning that the system can be effectively described as a set of oscillators each interacting with the thermal baths. Also, the heat current exchanged with the reservoirs depends on the size of the thermalized regions: In the case in which such size is proportional to the system size N, the stationary current is independent on N. For α>1, heat transport mostly occurs through diffusion along the chain: For the rotors transport is normal, while for FPU the data are compatible with an anomalous diffusion, possibly with an α-dependent characteristic exponent.

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Section: The Rotor Chainsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 96%

Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs

et al. 2018

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“…We have set all the coupling constants and mass of each particle * E-mail address:debarshee@cbpf.br to unity. The factor 1/Ñ in the LR term of both the Hamiltonians ensures extensivity of the potential energy and depends on the parameter δ, spatial dimension d and system size N [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…In energy transport studies of these two models it was observed that the LR-FPU model exhibits superdiffusive transport for all values of the parameter δ [7] whereas the LR-XY model exhibits two distinct phases -an insulator phase for δ < 1 and a conducting phase δ > 1 in which Fourier law (implying normal energy diffusion) is obeyed [8]. Moreover, in the LR-FPU, the conductivity κ has an intriguing non-monotonic dependence on δ with a maximum conductivity at δ = 2 whereas the conductivity for the LR-XY model increases monotonically as one increases δ from zero.…”

Section: Introductionmentioning

confidence: 99%

Energy transport in the presence of long-range interactions

Bagchi

2017

Phys. Rev. E

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We study energy transport in the paradigmatic Hamiltonian mean-field (HMF) model and other related long-range interacting models using molecular dynamics simulations. We show that energy diffusion in the HMF model is subdiffusive in nature, which confirms a recently obtained intriguing result that, despite being globally interacting, this model is a thermal insulator in the thermodynamic limit. Surprisingly, when additional nearest-neighbor interactions are introduced to the HMF model, an energy superdiffusion is observed. We show that these results can be consistently explained by studying energy localization due to thermally generated intrinsic localized excitation modes (discrete breathers) in nonlinear discrete systems. Our analysis for the HMF model can also be readily extended to more generic long-range interacting models where the interaction strength decays algebraically with the (shortest) distance between two lattice sites. This reconciles many of the apparently counterintuitive results presented recently [C. Olivares and C. Anteneodo, Phys. Rev. E 94, 042117 (2016)2470-004510.1103/PhysRevE.94.042117; D. Bagchi, Phys. Rev. E 95, 032102 (2017)2470-004510.1103/PhysRevE.95.032102] concerning energy transport in two such long-range interacting models.

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“…1) and only the conductance κ is characteristic of the propagation medium. The validity of the Fourier's law in one-dimensional systems has been a constant matter of debate [3,4,[12][13][14][15][16][17][18], concerning anomalous temperature profiles and divergence of the conductivity in the thermodynamic limit, even in equilibrium Gaussian scenarios. When * ecolombo@ifisc.uib-csic.es † lucianno-defaveri@puc-rio.br ‡ celia.fis@puc-rio.br Figure 1.…”

Section: Introductionmentioning

confidence: 99%

Heat flux direction controlled by power-law oscillators under non-Gaussian fluctuations

2019

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Chains of particles coupled through anharmonic interactions and subject to non-Gaussian baths can exhibit paradoxical outcomes such as heat currents flowing from colder to hotter reservoirs. Aiming to explore the role of generic non-harmonicities in mediating the contributions of non-Gaussian fluctuations to the direction of heat propagation, we consider a chain of power-law oscillators, with interaction potential V (x) ∝ |x| α , subject to Gaussian and Poissonian baths at its ends. Performing numerical simulations and addressing heuristic considerations, we show that a deformable potential has bidirectional control over heat flux.

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Publisher's Note: Role of the range of the interactions in thermal conduction [Phys. Rev. E 94 , 042117 (2016)]

Cited by 12 publications

References 0 publications

Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs

Heat transport in oscillator chains with long-range interactions coupled to thermal reservoirs

Energy transport in the presence of long-range interactions

Heat flux direction controlled by power-law oscillators under non-Gaussian fluctuations

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