Heat transport in one dimension

Livi, Roberto

doi:10.1088/1742-5468/ab7125

Cited by 16 publications

(9 citation statements)

References 30 publications

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“…3), it is found that for the monatomic chain, the PHD is responsible for the thermalization in a short time, but the PTD governs the thermalization behavior finally, while the PHD rules the whole process of thermalization of the mass-disordered chain. All these results strongly indicate that pressure can dramatically change the integrability of the system, which plays a crucial role in the thermal transport properties [45][46][47][48][49]. Hence, our results provide a new insight into understanding why and how pressure changes the thermal transport properties of the system.…”

supporting

confidence: 52%

Effect of pressure on thermalization of one-dimensional nonlinear chains

Fu,

Zhang,

Zhao

2021

Preprint

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Pressure plays a vital role in changing the transport properties of matter. To understand this phenomenon at a microscopic level, we here focus on a more fundamental problem, i.e., how pressure affects the thermalization properties of solids. As illustrating examples, we study the thermalization behavior of the monatomic chain and the mass-disordered chain of Fermi-Pasta-Ulam-Tsingou-β under different strains in the thermodynamic limit. It is found that the pressure-induced change in nonintegrability results in qualitatively different thermalization processes for the two kinds of chains. However, for both cases, the thermalization time follows the same law -it is inversely proportional to the square of the nonintegrability strength. This result suggests that pressure can significantly change the integrability of a system, which provides a new perspective for understanding the pressure-dependent thermal transport behavior.

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confidence: 52%

Effect of pressure on thermalization of one-dimensional nonlinear chains

Fu,

Zhang,

Zhao

2021

Preprint

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“…But, it is a hefty task and a emerging research area to take into account both quantum effect as well as anharmonic interaction in the simulation of vibrational heat transport in molecular junctions. Classical molecular dynamics simulation can easily take care of the anaharmonic interaction but they are well above the quantum domain [31][32][33]. There are full quantum mechanical method based on Landauer formalism which only consider harmonic interaction [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Environment dependent vibrational heat transport in molecular Junctions : Rectification, quantum effects, vibrational mismatch

Behera,

Bandyopadhyay

2021

Preprint

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Vibrational heat transport in molecular junctions is a central issue in different contemporary research areas like Chemistry, material science, mechanical engineering, thermoelectrics and power generation. Our model system consists of a chain of molecules which sandwiched between two solids that are maintained at different temperatures. We employ quantum self-consistent reservoir model, which is built on generalized quantum Langevin equation, to investigate quantum effects and far from equilibrium conditions on thermal conduction at nanoscale. The present self-consistent reservoir model can easily mimic the phonon-phonon scattering mechanisms. Different thermal environments are modelled as (i) Ohmic, (ii) sub-Ohmic, and (iii) super-Ohmic environment and their effects are demonstrated for the thermal rectification properties of the system with spring graded or mass graded feature. The behavior of heat current across molecular junctions as a function of chain length, temperature gradient and phonon scattering rate are studied. Further, our analysis reveals the effects of vibrational mismatch between the solids phonon spectra on heat transfer characteristics in molecular junctions for different thermal environments.

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“…Quite recently the problem of heat transport has been extended to lattice models with long-ranged interactions (LRIs) [6][7][8][9][10][11][12][13][14]. In this work, LRIs are defined in terms of the pair potential V (d i j ) that decays with the distance d i j , between the i−th and the j−th particle, as V (d i j ) ∼ d −δ i j , where δ ≥ 0.…”

Section: Introductionmentioning

confidence: 99%

Heat transport in long-ranged anharmonic oscillator models

Bagchi

2021

Preprint

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In this work, we perform a detailed study of heat transport in one dimensional long-ranged anharmonic oscillator systems, such as the long-ranged Fermi-Pasta-Ulam-Tsingou model. For these systems, the long-ranged anharmonic potential decays with distance as a power-law, controlled by an exponent δ ≥ 0. For such a nonintegrable model, one of the recent results that has captured quite some attention is the puzzling ballistic-like transport observed for δ = 2, reminiscent of integrable systems. Here, we first employ the reverse nonequilibrium molecular dynamics simulations to look closely at the δ = 2 transport in three long-ranged models, and point out a few problematic issues with this simulation method. Next, we examine the process of energy relaxation, and find that relaxation can be appreciably slow for δ = 2 in some situations. We invoke the concept of nonlinear localized modes of excitation, also known as discrete breathers, and demonstrate that the slow relaxation and the ballistic-like transport properties can be consistently explained in terms of a novel depinning of the discrete breathers that makes them highly mobile at δ = 2. Finally, in the presence of quartic pinning potentials we find that the long-ranged model exhibits Fourier (diffusive) transport at δ = 2, as one would expect from short-ranged interacting systems with broken momentum conservation. Such a diffusive regime is not observed for harmonic pinning.

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Heat transport in one dimension

Cited by 16 publications

References 30 publications

Effect of pressure on thermalization of one-dimensional nonlinear chains

Effect of pressure on thermalization of one-dimensional nonlinear chains

Environment dependent vibrational heat transport in molecular Junctions : Rectification, quantum effects, vibrational mismatch

Heat transport in long-ranged anharmonic oscillator models

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