Localized heat perturbation in harmonic 1D crystals: Solutions for the equation of anomalous heat conduction
نویسندگان
چکیده
منابع مشابه
Heat conduction and phonon localization in disordered harmonic crystals
We investigate the steady-state heat current in twoand three-dimensional isotopically disordered harmonic lattices. Using localization theory as well as kinetic theory we estimate the system size dependence of the current. These estimates are compared with numerical results obtained using an exact formula for the current given in terms of a phonon transmission function, as well as by direct non...
متن کاملThe method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases
In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.
متن کاملPhonon heat conduction in layered anisotropic crystals
The thermal properties of anisotropic crystals are of both fundamental and practical interest, but transport phenomena in anisotropic materials such as graphite remain poorly understood because solutions of the Boltzmann equation often assume isotropy. Here, we extend an analytic solution of the transient, frequencydependent Boltzmann equation to highly anisotropic solids and examine its predic...
متن کاملSplitting schemes for hyperbolic heat conduction equation
Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of heat fluxes. In this case, the mathematical model is based on a hyperbolic equation of second order or a system of equations for the temperature and heat flu...
متن کاملHeat conduction in a 1D harmonic chain with three dimensional vibrations
We study vibrational energy transport in a quasi 1-D harmonic chain with both longitudinal and transverse vibrations. We demonstrate via both numerical simulation and theoretic analysis that for 1-D atomic chain connected by 3D harmonic springs, the coefficient of heat conduction changes continuously with its lattice constant, indicating the qualitative difference from the corresponding 1-D cas...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Mesomechanics
سال: 2017
ISSN: 1029-9599,1990-5424
DOI: 10.1134/s1029959917030067