Dependence of thermal conductivity on discrete breathers in lattices

Tsironis, G. P.; Bishop, A. R.; Savin, A. V.; Zolotaryuk, A. V.

doi:10.1103/physreve.60.6610

Cited by 92 publications

(83 citation statements)

References 16 publications

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“…A suggested picture to support this viewpoint is that the on-site potentials which destroy the conservation of momentum can induce a strong scattering mechanism for phonons, eventually resulting in the diffusive Fourier's heat transport. In some literature [60,61], such scattering mechanism is usually attributed to DBs. Nevertheless, at present, our understanding of the physical picture of this scattering process is still lacking.…”

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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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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“…This was done as nonlinear excitations are known to be generated from randomness [10,[36][37][38][39]. As the outcome of collisions between nonlinear excitations depends strongly on their relative phases, we made 500 different random initial conditions to be able to find effects independent of the random phases.…”

Section: ͑7͒mentioning

confidence: 99%

“…[10,12,[35][36][37][38][39], for example. In these references it was shown that solitons or discrete breathers can be generated from or exist among random thermal fluctuations.…”

Section: Introductionmentioning

confidence: 99%

Bubble generation in a twisted and bent DNA-like model

et al. 2004

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The DNA molecule is modeled by a parabola embedded chain with long-range interactions between twisted base pair dipoles. A mechanism for bubble generation is presented and investigated in two different configurations. Using random normally distributed initial conditions to simulate thermal fluctuations, a relationship between bubble generation, twist and curvature is established. An analytical approach supports the numerical results.

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“…The introduction of configurational defects 24,25,39 or disorder 9,15,25,31,40 in harmonic systems can also lead to diffusive transport, with the build up of a temperature gradient across the system. Defects and disorder introduce some form of localisation of the vibration modes 27,28 which do not favour ballistic transport 27 .…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium generalised Langevin equation for the calculation of heat transport properties in model 1D atomic chains coupled to two 3D thermal baths

Ness

Stella

Lorenz

et al. 2017

The Journal of Chemical Physics

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We use a Generalised Langevin Equation (GLE) scheme to study the thermal transport of low dimensional systems. In this approach, the central classical region is connected to two realistic thermal baths kept at two different temperatures [H. Ness et al., Phys. Rev. B 93, 174303 (2016)]. We consider model Al systems, i.e. onedimensional atomic chains connected to three-dimensional baths. The thermal transport properties are studied as a function of the chain length N and the temperature difference ∆T between the baths. We calculate the transport properties both in the linear response regime and in the non-linear regime. Two different laws are obtained for the linear conductance versus the length of the chains. For large temperatures (T 500 K) and temperature differences (∆T 500 K), the chains, with N > 18 atoms, present a diffusive transport regime with the presence of a temperature gradient across the system. For lower temperatures(T 500 K) and temperature differences (∆T 400 K), a regime similar to the ballistic regime is observed. Such a ballistic-like regime is also obtained for shorter chains (N ≤ 15). Our detailed analysis suggests that the behaviour at higher temperatures and temperature differences is mainly due to anharmonic effects within the long chains.

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Dependence of thermal conductivity on discrete breathers in lattices

Cited by 92 publications

References 16 publications

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

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

Bubble generation in a twisted and bent DNA-like model

Nonequilibrium generalised Langevin equation for the calculation of heat transport properties in model 1D atomic chains coupled to two 3D thermal baths

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