Thermal rectification in mass-graded next-nearest-neighbor Fermi-Pasta-Ulam lattices

Romero-Bastida, M.; Miranda-Peña, Jorge-Orlando; López, Juan M.

doi:10.1103/physreve.95.032146

Cited by 21 publications

(28 citation statements)

References 29 publications

(59 reference statements)

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“…This idea of increasing the energy flow by LR interactions was previously proposed and analytically investigated, but with an infinitesimal temperature gradient across the system [10]. In another recent work [11] it has been shown that the addition of next-nearest-neighbor interactions is already enough to increase the energy transport and thermal rectification in a mass-graded chain of anharmonic oscillators. In striking contrast, from the study of the LR-XY model it was concluded that the thermal conduction is "spoiled" in the presence of LR interactions [8].…”

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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Section: Introductionmentioning

confidence: 99%

Energy transport in the presence of long-range interactions

Bagchi

2017

Phys. Rev. E

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“…In this paper we have proposed a thermal rectifier based on a 3D mass-graded FPU lattice formerly employed to verify the validity of Fourier's law in a system without an on-site potential [21]. Our first results seem to indicate that the behavior is very similar to that of the corresponding 1D lattice, especially in the fact that the obtained rectification is very small [25]. It is worth noting some interesting features of the shape of the temperature profiles depicted in Fig.…”

Section: Discussionmentioning

confidence: 76%

Thermal rectification in three-dimensional mass-graded anharmonic oscillator lattices

Romero-Bastida,

Lindero-Hernández

2021

Preprint

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In this work we study the thermal rectification efficiency, i.e., asymmetric heat flow, of a threedimensional mass-graded anharmonic lattice of length N and width W by means of nonequilibrium molecular dynamics simulations. The obtained rectification, which is of the same order of magnitude as that of the corresponding one-dimensional lattice, saturates at low values of the aspect ratio W/N , consistent with the already known behavior of the corresponding heat fluxes of the homogeneous system under analogous conditions. The maximum rectification is obtained in the temperature range wherein no rectification could be obtained in other one-dimensional systems, as well as in the corresponding one-dimensional instance of the model studied herein.

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“…To overcome this limitation two ideas were proposed. The first one consists in using graded rather than segmented chains, i.e., chains where some physical property varies continuously along the site position such as the mass of particles in the lattice [20][21][22][23][24][25][26][27][28]. The second one uses particles with long range interactions (LRI), such that all the particles in the lattice interact with each other [21,29,30].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric heat transport in ion crystals

et al. 2019

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We numerically demonstrate heat rectification for linear chains of ions in trap lattices with graded trapping frequencies, in contact with thermal baths implemented by optical molasses. To calculate the local temperatures and heat currents we find the stationary state by solving a system of algebraic equations. This approach is much faster than the usual method that integrates the dynamical equations of the system and averages over noise realizations. * miguelangel.simon@ehu.eus † jg.muga@ehu.es

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Thermal rectification in mass-graded next-nearest-neighbor Fermi-Pasta-Ulam lattices

Cited by 21 publications

References 29 publications

Energy transport in the presence of long-range interactions

Energy transport in the presence of long-range interactions

Thermal rectification in three-dimensional mass-graded anharmonic oscillator lattices

Asymmetric heat transport in ion crystals

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