Thermal conductivity of molecular chains with asymmetric potentials of pair interactions

Savin, A. V.; Kosevich, Yuriy A.

doi:10.1103/physreve.89.032102

Cited by 79 publications

(82 citation statements)

References 33 publications

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“…Das, Dhar, and Narayan [34]; Wang, Hu, and Li [35], and Savin and Kosevich [36] repeated the same kind of simulations and concluded that finite heat conductivity is actually a finite-size effect and does not correspond to the expected universal scaling behavior that should be attained in the thermodynamic limit. In practice, the seemingly normal diffusion observed in certain dynamical regimes of nonlinear lattices with asymmetric interaction should crossover to the power-law scaling γ = 1/3 for sufficiently large sizes and sufficiently long times.…”

Section: Introductionmentioning

confidence: 93%

Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

et al. 2015

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We study the anomalous dynamical scaling of equilibrium correlations in one-dimensional systems. Two different models are compared: the Fermi-Pasta-Ulam chain with cubic and quartic nonlinearity and a gas of point particles interacting stochastically through multiparticle collision dynamics. For both models-that admit three conservation laws-by means of detailed numerical simulations we verify the predictions of nonlinear fluctuating hydrodynamics for the structure factors of density and energy fluctuations at equilibrium. Despite this, violations of the expected scaling in the currents correlation are found in some regimes, hindering the observation of the asymptotic scaling predicted by the theory. In the case of the gas model this crossover is clearly demonstrated upon changing the coupling constant.

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Section: Introductionmentioning

confidence: 93%

Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

et al. 2015

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“…Coming back to 1D model chains, up to now, many ingredients related to anomalous thermal conduction have been carefully considered, among them are chaos [28][29][30][31][32][33], conservation of momentum [34][35][36][37], asymmetric interactions [38][39][40][41][42], linearity [33,[43][44][45][46], integrability [47], pressure [48,49], surface scattering effect [50] etc. Particularly, the viewpoint that a system with (without) a momentum conservation property should disobey (obey) Fourier's law has been widely accepted, although there are still some contradictory results on this issue [51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Crossover from ballistic to normal heat transport in theϕ4lattice: If nonconservation of momentum is the reason, what is the mechanism?

2017

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Anomalous (non-Fourier's) heat transport is no longer just a theoretical issue since it has been observed experimentally in a number of low-dimensional nanomaterials, such as SiGe nanowires, carbon nanotubes, and others. To understand these anomalous behaviors, exploring the microscopic origin of normal (Fourier's) heat transport is a fascinating theoretical topic. However, this issue has not yet been fully understood even for one-dimensional (1D) model chains, in spite of a great amount of thorough studies done to date. From those studies it has been widely accepted that the conservation of momentum is a key ingredient to induce anomalous heat transport, while momentumnonconserving systems usually support normal heat transport where Fourier's law is valid. But if the nonconservation of momentum is the reason, what is the underlying microscopic mechanism for the observed normal heat transport? Here we carefully revisit a typical 1D momentum-nonconserving φ 4 model and present evidence that the mobile discrete breathers or, in other words, the moving intrinsic localized modes with frequency components above the linear phonon band can be responsible for that.

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“…1,2 Subsequent studies [3][4][5][6][7] show that this remains an controversial issues. Conflicts among the studies may partly come from the un-unified setting of parameter regimes of the asymmetric anharmonic terms, which is less focused previously.…”

Section: Introductionmentioning

confidence: 99%

Thermal expansion and its impacts on thermal transport in the FPU-α-β model

Cao

Zhao

et al. 2015

AIP Advances

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We study the impacts of thermal expansion, arising from the asymmetric interparticle potential, on thermal conductance in the FPU-α-β model. A nonmonotonic dependence of the temperature gradient and thermal conductance on the cubic interaction parameter α are shown, which corresponds to the variation of the coefficient of thermal expansion. Three domains with respect to α can be identified. The results are explained based on the detailed analysis of the asymmetry of the interparticle potential. The self-consistent phonon theory, which can capture the effect of thermal expansion, is developed to support our explanation in a quantitative way. Our result would be helpful to understand the issue that whether there exist normal thermal conduction in the FPU-α-β model.

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Thermal conductivity of molecular chains with asymmetric potentials of pair interactions

Cited by 79 publications

References 33 publications

Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

Crossover from ballistic to normal heat transport in theϕ4lattice: If nonconservation of momentum is the reason, what is the mechanism?

Thermal expansion and its impacts on thermal transport in the FPU-α-β model

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