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We investigate the steady state heat current in two and three dimensional disordered harmonic crystals in a slab geometry, connected at the boundaries to stochastic white noise heat baths at different temperatures.The disorder causes short…

Disordered Systems and Neural Networks · Physics 2015-05-13 Abhishek Chaudhuri , Anupam Kundu , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

Crystal phase engineering gives access to new types of superlattices where, rather than different materials, different crystal phases of the same material are juxtaposed. Here, by means of atomistic nonequilibrium molecular dynamics…

Mesoscale and Nanoscale Physics · Physics 2022-01-14 Kim López-Güell , Nicolas Forrer , Xavier Cartoixà , Ilaria Zardo , Riccardo Rurali

We investigate the scattering of long-wavelength flexural phonons against grain boundaries in graphene using molecular dynamics simulations. Three symmetric tilt grain boundaires are considered: one with a misorientation angle of…

Materials Science · Physics 2015-06-19 Edit E. Helgee , Andreas Isacsson

It is widely assumed in the literature that the specularity parameters for phonon transmission (forward scattering) and reflection (backward scattering) at a boundary are identical, i.e., the statistical distributions of the transition…

Mesoscale and Nanoscale Physics · Physics 2021-05-18 Zhun-Yong Ong

We theoretically analyze the spectrum of phonons of a one-dimensional quasiperiodic lattice. We simulate the quasicrystal from the classic system of spring-bound atoms with a force constant modulated by the Aubry-Andr\'e model, so that its…

Disordered Systems and Neural Networks · Physics 2019-07-15 J. R. M. Silva , M. S. Vasconcelos , D. H. A. L. Anselmo , V. D. Mello

Density functional perturbation theory calculations of alpha-quartz using extended norm conserving pseudopotentials have been used to study the elastic properties and phonon dispersion relations along various high symmetry directions as a…

Materials Science · Physics 2007-05-23 N. Choudhury , S. L. Chaplot

We study a model of networked atoms or molecules oscillating around their equilibrium positions. The model assumes the harmonic approximation of the interactions. We provide bounds for the total number of phonons, and for the specific heat,…

Mathematical Physics · Physics 2024-07-26 Riccardo Bonetto

One of the challenges with quantum simulation in ion traps is that the effective spin-spin exchange couplings are not uniform across the lattice. This can be particularly important in Penning trap realizations where the presence of an…

Quantum Physics · Physics 2015-10-14 A. Khan , B. Yoshimura , J. K. Freericks

The breakdown of translational symmetry at heterointerfaces leads to the emergence of new phonon modes localized near the interface. These interface phonons play an essential role in thermal/electrical transport properties in devices…

Materials Science · Physics 2022-01-05 Ruishi Qi , Ruochen Shi , Yuanwei Sun , Yuehui Li , Mei Wu , Ning Li , Jinlong Du , Kaihui Liu , Chunlin Chen , Dapeng Yu , En-Ge Wang , Peng Gao

A previously proposed variational approach for momentum-conserving systems [J. Liu et.al., Phys. Rev. E 91, 042910 (2015)] is extended to systematically investigate general momentum-nonconserving nonlinear lattices. Two intrinsic identities…

Statistical Mechanics · Physics 2016-09-20 Junjie Liu , Baowen Li , Changqin Wu

We study a phononic crystal interacting with an artificial atom { a superconducting quantum system { in the quantum regime. The phononic crystal is made of a long lattice of narrow metallic stripes on a quatz surface. The artificial atom in…

We study the implementation of quantum state transfer protocols in phonon networks, where in analogy to optical networks, quantum information is transmitted through propagating phonons in extended mechanical resonator arrays or phonon…

Quantum Physics · Physics 2012-11-08 S. J. M. Habraken , K. Stannigel , M. D. Lukin , P. Zoller , P. Rabl

We study unconventional cavity optomechanics and the acoustic analogue of radiation pressure to show the possibility of nonlinear coherent control of phonons in the acoustic quantum vacuum. Specifically, we study systems where a quantized…

Quantum Physics · Physics 2019-12-25 Xin Wang , Wei Qin , Adam Miranowicz , Salvatore Savasta , Franco Nori

Rotation and reflection symmetries impose that out-of-plane (flexural) phonons of free-standing graphene membranes have a quadratic dispersion at long wavelength and can be excited by charge carriers in pairs only. As a result, we find that…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 Eros Mariani , Felix von Oppen

The propagation of waves in periodic media is related to the parametric oscillators. We transpose the possibility that a parametric pendulum oscillates in the vicinity of its unstable equilibrium positions to the case of waves in lossless…

Classical Physics · Physics 2011-10-12 Nicolas Combe

In this paper, we examine the application of an ideal phonon-hydrodynamic material as the heat transfer medium between two non-hydrodynamic contacts with a finite temperature difference. We use the integral-equation approach to solve a…

Materials Science · Physics 2018-11-12 Runqing Yang , Shengying Yue , Bolin Liao

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

Analysis of PDEs · Mathematics 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili

Phonons are quasiparticles associated with mechanical vibrations in materials. They are at the root of the propagation of sound and elastic waves, as well as of thermal phenomena, which are pervasive in our everyday life and in many…

We consider a linear phonon Boltzmann equation with a reflecting/transmitting/absorbing interface. This equation appears as the Boltzmann-Grad limit for the energy density function of a harmonic chain of oscillators with inter-particle…

Mathematical Physics · Physics 2019-03-08 Giada Basile , Tomasz Komorowski , Stefano Olla

Chiral phonons, originally identified in two-dimensional hexagonal lattices and later extended to kagome, square, and other lattices, have been extensively studied as manifestations of broken inversion and time-reversal symmetries in…

Statistical Mechanics · Physics 2025-11-03 Ravi Kiran , A. Taraphder