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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…

Statistical Mechanics · Physics 2008-06-27 Zonghua Liu , Baowen Li

We consider a linear chain of quantum harmonic oscillators, in which the number of the individual oscillators is given by an arbitrary number N, and each oscillator is coupled at an arbitrary strength kappa to its nearest neighbors…

Statistical Mechanics · Physics 2014-04-04 Ilki Kim

We study how energy transport in an integrable system is affected by the spectral densities of heat reservoirs. The model investigated here is the quantum harmonic chain whose both ends are in contact with two heat reservoirs at different…

Statistical Mechanics · Physics 2007-05-23 K. Saito , S. Takesue , S. Miyashita

Using a stochastic quantum approach, we study thermoelectric transport phenomena at low temperatures in disordered electrical systems connected to external baths. We discuss three different models of one-dimensional disordered electrons,…

Disordered Systems and Neural Networks · Physics 2015-05-14 Dibyendu Roy , Massimiliano Di Ventra

The phonon scattering processes on the three solid phases of ethanol are investigated by means of thermal conductivity, light and neutron scattering measurements as well as molecular dynamics simulations on single-crystalline models for the…

We study a hierarchical disordered pinning model with site disorder for which, like in the bond disordered case [6, 9], there exists a value of a parameter b (enters in the definition of the hierarchical lattice) that separates an…

Probability · Mathematics 2009-05-14 Hubert Lacoin

We consider a polymer, with monomer locations modeled by the trajectory of a Markov chain, in the presence of a potential that interacts with the polymer when it visits a particular site 0. We assume that probability of an excursion of…

Probability · Mathematics 2007-05-23 Kenneth S. Alexander

We examine the effects of disorder on striped phases in high-temperature superconductors and related materials. In the presence of quenched disorder, pinning by the atomic lattice - which might give rise to commensuration effects - is…

Superconductivity · Physics 2009-11-07 Simon Bogner , Stefan Scheidl

We consider heat transport in one-dimensional harmonic chains with isotopic disorder, focussing our attention mainly on how disorder correlations affect heat conduction. Our approach reveals that long-range correlations can change the…

Disordered Systems and Neural Networks · Physics 2016-08-08 I. F. Herrera-González , F. M. Izrailev , L. Tessieri

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

The temperature dependence of the static magnetic susceptibility of exchange-disordered antiferromagnetic Heisenberg spin-1/2 finite chains with an odd number of spins is investigated as a function of size and type of disorder in the…

Strongly Correlated Electrons · Physics 2009-01-29 C. M. Chaves , Thereza Paiva , J. d'Albuquerque e Castro , Belita Koiller

This work studies heat transport of bond-disordered spin-1/2 chains. As an example, the XX case is analyzed, which corresponds to a model of noninteracting spinless fermions. Within the fermion representation, the single-particle…

Strongly Correlated Electrons · Physics 2007-05-23 Fabian Heidrich-Meisner

We present the results of an experimental study of vortex dynamics in non-twinned $YBa_2Cu_3O_{6,87}$ crystal. It is found that critical currents $J_c$ and $J_{c,dyn}$, which correspond to the pinning force in the thermal creep and flux…

Superconductivity · Physics 2008-03-07 A. V. Bondarenko , A. A. Zavgorodniy , D. A. Lotnik , M. A. Obolenskii , R. V. Vovk , Y. Biletskiy

We study the dimensional dependence of the interplay between correlation and disorder in two dimension at half filling using 2D $t-t'$ disordered Hubbard model with deterministic disorder both at zero and finite temperatures. Inclusion of…

Strongly Correlated Electrons · Physics 2015-05-13 Tribikram Gupta , Sanjay Gupta

We consider the hierarchical disordered pinning model studied in [9], which exhibits a localization/delocalization phase transition. In the case where the disorder is i.i.d. (independent and identically distributed), the question of…

Probability · Mathematics 2011-10-27 Quentin Berger , Fabio Toninelli

It is well-known that in the disordered harmonic chain, heat conduction is subballistic and the thermal conductivity ($\kappa$) scales asymptotically as $\lim_{L\rightarrow\infty}\kappa\propto L^{0.5}$ where $L$ is the chain length.…

Mesoscale and Nanoscale Physics · Physics 2014-09-05 Zhun-Yong Ong , Gang Zhang

Transport through a Hubbard chain of size N (=1,2,3,...) connected to reservoirs is studied at T = 0 in an electron-hole symmetric case based on the second-order perturbation theory in U. The result shows a typical even-odd property…

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

We study a linear chain of oscillators with inhomogeneity in their interactions with phonon bath. In a previous work on the Markovian master equation of the system, we investigated a model in which the difference in the site-phonon coupling…

Statistical Mechanics · Physics 2022-05-18 B. A. Tay

We exactly analyze the vibrational properties of a chain of harmonic oscillators in contact with local Langevin heat baths. Nonequilibrium steady-state fluctuations are found to be described by a set of mode-temperatures, independent of the…

Statistical Mechanics · Physics 2017-06-13 Gianmaria Falasco , Marco Baiesi , Leo Molinaro , Livia Conti , Fulvio Baldovin

We study the pinning transition in a (1+1)-dimensional lattice model of a fluctuating interface interacting with a corrugated impenetrable wall. The interface is modeled as an $N$-step directed one-dimensional random walk on the half-line…

Statistical Mechanics · Physics 2026-01-06 Ruijie Xu , Sergei Nechaev