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We study anomalous heat conduction and anomalous diffusion in low dimensional systems ranging from nonlinear lattices, single walled carbon nanotubes, to billiard gas channels. We find that in all discussed systems, the anomalous heat…

Statistical Mechanics · Physics 2009-11-10 Baowen Li , Jiao Wang , Lei Wang , Gang Zhang

The heat transfer (conductive, convective, radiative) and the related problems (the unknown phase boundary fluid/crystal, the assessment of the quality of the grown crystals) encountered in the melt and vapour growth of single crystal as…

Fluid Dynamics · Physics 2023-01-03 A. I. Zhmakin

This work is aimed at the study and analysis of the heat transport on a metal bar of length $L$ with a solid-solid interface. The process is assumed to be developed along one direction, across two homogeneous and isotropic materials.…

Analysis of PDEs · Mathematics 2021-10-28 Diana Rubio , Domingo A. Tarzia , Guillermo F. Umbricht

The paper investigates non-stationary heat conduction in one-dimensional models with substrate potential. In order to establish universal characteristic properties of the process, we explore three different models --- Frenkel-Kontorova…

Statistical Mechanics · Physics 2015-05-30 O. V. Gendelman , R. Shvartsman , B. Madar , A. V. Savin

Understanding heat transport in low-dimensional and nano-architectured materials remains a central challenge in nonequilibrium statistical physics due to persistent deviations from Fourier's law. These deviations are driven by…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 R. A. C. Correa , K. N. M. Sharma , P. Lolur , J. van Velzen

This work is concerned with the numerical simulation of ablation of geological materials using a millimetre wave source. To this end, a new mathematical model is developed for a thermal approach to the problem, allowing for large scale…

Geophysics · Physics 2022-11-03 Albert Zhang , Stephen Millmore , Nikolaos Nikiforakis

Realistic thermoelectric modeling and simulation tools are needed to explain the experiments and for device design. In this paper, we present a simple computational technique to make use of rigorous band structure calculations in…

Mesoscale and Nanoscale Physics · Physics 2011-10-12 Shuaib Salamat , Abhijeet Paul , Mehdi Salmani-Jelodar , Changwook Jeong , Gerhard Klimeck , Mark Lundstrom

The second law of thermodynamics is a useful and universal tool to derive the generalizations of the Fourier's law. In many cases, only linear relations are considered between the thermodynamic fluxes and forces, i.e., the conduction…

Statistical Mechanics · Physics 2019-12-25 Róbert Kovács , Patrizia Rogolino

In this paper we describe an application of the finite difference method to obtain the transverse magnetic photonic band gap diagram of a photonic crystal. The strategy of this method is to formulate the Maxwell equations in finite…

Optics · Physics 2011-09-05 R. A. Gutierrez-Arenas , D. Mendoza

The transfer matrix formalism is widely used in modeling heat diffusion in layered structures.Due to an intrinsic numerical instability issue, which has not yet drawn enough attention to the heat transfer community,this formalism fails at…

Applied Physics · Physics 2022-10-05 Tao Li , Zhen Chen

In this paper we introduce a method to resolve transient excitations in time-frequency space from molecular dynamics simulations. Our technique is based on continuous wavelet transform of velocity time series coupled to a…

Other Condensed Matter · Physics 2019-01-23 Annise Rivière , Stefano Lepri , Daniele Colognesi , Francesco Piazza

Calculations of the photonic band structure, transmission coefficients, and quality factors of various two-dimensional, periodic and aperiodic, dielectric photonic crystals by using the finite element method (FEM) are reported. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Imanol Andonegui , Angel J. Garcia-Adeva

In this work, we aim to study the thermal properties of materials using classical molecular dynamics simulations and specialized numerical methods. We focus primarily on the thermal conductivity \kappa using non-equilibrium molecular…

Materials Science · Physics 2017-05-03 Jonathan Severin , Philippe Jund

We demonstrate that recent advances in nanoscale thermal transport and temperature manipulation can be brought to bear on the problem of tailoring thermal radiation from compact emitters. We show that wavelength-scale composite bodies…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Weiliang Jin , Athanasios G. Polimeridis , Alejandro W. Rodriguez

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

A computational strategy based on large deviation theory (LDT) is used to study the anomalous statistical features of turbulent surface waves propagating past an abrupt depth change created via a step in the bottom topography. The dynamics…

Fluid Dynamics · Physics 2024-06-12 Di Qi , Eric Vanden-Eijnden

Heat conduction in 1-dimensional anharmonic systems is anomalous in the sense that the conductivity \kappa scales with a positive power of the system size, \kappa ~ L^\alpha. In two dimensions, previous simulations and theoretical arguments…

Statistical Mechanics · Physics 2007-05-23 P. Grassberger , L. Yang

We investigate the thermal-driven charge density wave (CDW) transition of two cubic superconducting intermetallic systems Lu(Pt1-xPdx)2In and (Sr1-xCax)3Ir4Sn13 by means of x-ray diffraction technique. A detailed analysis of the CDW…

Strongly Correlated Electrons · Physics 2020-05-27 F. B. Carneiro , L. S. I. Veiga , J. R. L. Mardegan , R. Khan , C. Macchiutti , A. Lopez , E. M. Bittar

The two gaps in a two-band clean s-wave superconductor are evaluated self-consistently within the quasiclassical Eilenberger weak-coupling formalism with two in-band and one inter-band pairing potentials. Superfluid density, free energy and…

Superconductivity · Physics 2009-10-28 V. G. Kogan , C. Martin , R. Prozorov

This manuscript puts forward and verifies an analytical approach to design phononic crystals that feature a bandgap at the lowest possible frequencies. This new approach is verified against numerical optimization. It rests on the exact form…

Applied Physics · Physics 2024-11-05 Javier González-Carbajal , Marius Lemm , Joaquin Garcia-Suarez