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We study the transport properties of a large class of locally confined Hamiltonian systems, in which neighboring particles interact through hard core elastic collisions. When these collisions become rare and the systems large, we derive a…

Statistical Mechanics · Physics 2009-08-29 Thomas Gilbert , Raphael Lefevere

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

Statistical Mechanics · Physics 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

Carbon atomic chain, linear benzene polymers, and carbon nanothreads are all one-dimensional (1D) ultrathin carbon structures. They possess excellent electronic and mechanical properties; however, their thermal transport properties have…

Materials Science · Physics 2020-01-08 Jing Xue , Yuee Xie1 , Qing Peng , Yuanping Chen

We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat…

Mathematical Physics · Physics 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent 3/4.

Statistical Mechanics · Physics 2016-01-20 Cedric Bernardin , Patricia Gonçalves , Milton Jara

The dc conductance through a finite Hubbard chain of size N coupled to two noninteracting leads is studied at T = 0 in an electron-hole symmetric case. Assuming that the perturbation expansion in U is valid for small N (=1,2,3,...) owing to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Akira Oguri

In equilibrium molecular dynamics, Einstein relation can be used to calculate the thermal conductivity. This method is equivalent to Green-Kubo relation and it does not require a derivation of an analytical form for the heat current.…

Chemical Physics · Physics 2016-08-14 Alper Kinaci , Justin B. Haskins , Tahir Çağın

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long--time correlation of the corresponding currents. The effective asymptotic behaviour is addressed with reference to the problem of heat…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

We present a formulation of a nonequilibrium Green's function method for thermal current in nanojunction atomic systems with nonlinear interactions. This first-principle approach is applied to the calculation of the thermal conductance in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian-Sheng Wang , Jian Wang , Nan Zeng

The cohesion and conductance of a point contact in a two-dimensional metallic nanowire are investigated in an independent-electron model with hard-wall boundary conditions. All properties of the nanowire are related to the Green's function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Burki , C. A. Stafford , X. Zotos , D. Baeriswyl

In [2] it has been proved that a linear Hamiltonian lattice field perturbed by a conservative stochastic noise belongs to the 3/2-L\'evy/Diffusive universality class in the nonlinear fluctuating theory terminology [15], i.e. energy…

Mathematical Physics · Physics 2018-08-01 Cédric Bernardin , Patricia Gonçalves , Milton Jara , Marielle Simon

We study thermal transport in strongly disordered, strongly interacting quantum field theories without quasiparticles using gauge-gravity duality. We analyze linear perturbations of black holes with broken translational symmetry in…

High Energy Physics - Theory · Physics 2016-03-30 Sašo Grozdanov , Andrew Lucas , Koenraad Schalm

We present an ab initio calculation of the DC conductivity of amorphous silicon and hydrogenated amorphous silicon. The Kubo-Greenwood formula is used to obtain the DC conductivity, by thermal averaging over extended dynamical simulation.…

Materials Science · Physics 2009-11-13 T. A. Abtew , M. Zhang , D. A. Drabold

We analyze the transport of heat along a chain of particles interacting through anharmonic po- tentials consisting of quartic terms in addition to harmonic quadratic terms and subject to heat reservoirs at its ends. Each particle is also…

Statistical Mechanics · Physics 2015-06-15 Gabriel T. Landi , Mario J. de Oliveira

Disorder hyperuniformity (DHU) is a recently discovered exotic state of many-body systems that possess a hidden order in between that of a perfect crystal and a completely disordered system. Recently, this novel DHU state has been observed…

Materials Science · Physics 2023-11-14 Houlong Zhuang , Duyu Chen , Lei Liu , Ge Zhang , Yang Jiao

We report the observation of coherent oscillations in conversion efficiency of weakly-bound dimers formed from a thermal gas of ultracold atoms. Finite thermal energy of the gas causes loss of coherence when a broad continuum is resonantly…

We consider an infinite chain of coupled harmonic oscillators with a Langevin thermostat attached at the origin and energy, momentum and volume conserving noise that models the collisions between atoms. The noise is rarefied in the limit,…

Mathematical Physics · Physics 2022-02-21 Tomasz Komorowski , Stefano Olla

The mathematical analysis on the behavior of the entropy for viscous, compressible, and heat conducting magnetohydrodynamic flows near the vacuum region is a challenging problem as the governing equation for entropy is highly degenerate and…

Analysis of PDEs · Mathematics 2023-02-23 Yang Liu , Xin Zhong

We reveal the intricate impact of nonlinearity and disorder on the thermal conductivity of acoustic chains. Disorder induces mobility edges and allows to control the amount of extended modes which are the ballistic channels for energy…

Disordered Systems and Neural Networks · Physics 2010-09-20 M. V. Ivanchenko , S. Flach

We study the discrete nonlinear Schr\"oinger equation with weak disorder, focusing on the regime when the nonlinearity is, on the one hand, weak enough for the normal modes of the linear problem to remain well resolved, but on the other,…

Disordered Systems and Neural Networks · Physics 2014-02-25 D. M. Basko
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