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The Ising model in uncorrelated scale-free networks has been studied by means of Monte Carlo simulations. These networks are characterized by a degree (or connectivity) distribution $P(k) \sim k^{-\gamma}$. The ferromagnetic-paramagnetic…

Statistical Mechanics · Physics 2009-11-10 Carlos P. Herrero

We perform a numerical study of transport properties of a one-dimensional chain with couplings decaying as an inverse power $r^{-(1+\sigma)}$ of the intersite distance $r$ and open boundary conditions, interacting with two heat reservoirs.…

Statistical Mechanics · Physics 2023-09-01 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

Thermoelectric transport in strongly spin-orbit coupled two-dimensional Rashba system is studied using the exact solution of the linearized Boltzmann equation. Some unusual transport behaviors are revealed. We show that the electrical…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cong Xiao , Dingping Li , Zhongshui Ma

Ising models with frustrated next-nearest-neighbor interactions present a rich morphology of modulated phases. These phases, however, assemble and relax slowly, which hinders their computational study. In two dimensions, strong fluctuations…

Statistical Mechanics · Physics 2021-11-01 Yi Hu , Patrick Charbonneau

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Victor Dotsenko

We study the energy transport between two interacting spin chains which are initially separated, held at different temperatures and subsequently put in contact. We consider the spin-1/2 XXZ model in the gapless regime and exploit its…

Statistical Mechanics · Physics 2014-10-15 Andrea De Luca , Jacopo Viti , Leonardo Mazza , Davide Rossini

In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Nernst-Planck equations with variable temperature, and the…

Analysis of PDEs · Mathematics 2020-01-24 Chia-Yu Hsieh , Tai-Chia Lin , Chun Liu , Pei Liu

The success of a ferroelectric tunnel junction (FTJ) depends on the asymmetry of electron tunneling as given by the tunneling electroresistance (TER) effect. This characteristic is mainly assessed considering three transport mechanisms:…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 Titus Sandu , Catalin Tibeica , Rodica Plugaru , Oana Nedelcu , Neculai Plugaru

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

The critical behavior of a 3D Ising-like system is studied at the microscopic level of consideration. The free energy of ordering is calculated analytically as an explicit function of temperature, an external field and the initial…

Statistical Mechanics · Physics 2012-02-22 M. P. Kozlovskii , R. V. Romanik

We investigate the electrical and thermal transport properties of the $\alpha-T_3$ based normal metal-insulator-superconductor (NIS) junction using Blonder-Tinkham-Klapwijk (BTK) theory. We show that the tunneling conductance of the NIS…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Mijanur Islam , Priyadarshini Kapri

We study magnetization transport in anisotropic spin-$1/2$ chains governed by the integrable XXZ model with and without integrability-breaking perturbations at high temperatures ($T\to \infty$) using a hybrid approach that combines exact…

Strongly Correlated Electrons · Physics 2018-08-17 Ramsés J. Sánchez , Vipin Kerala Varma , Vadim Oganesyan

Using a combination of first-principles simulations, based on the density functional theory and Boltzmann's semiclassical theory, we have calculated the transport and thermoelectric properties of the half-metallic two dimensional electron…

A nonextensive thermostatic approach to chaotic dynamical systems is developed by expressing generalized Tsallis distribution as escort distribution. We explicitly show the thermodynamic limit and also derive the Legendre Transform…

Statistical Mechanics · Physics 2009-10-31 Ramandeep S. Johal , Renuka Rai

We test the Transient Time Correlation Function (TTCF) method to compute nonequilibrium transport coefficients, highlighting its conceptual and practical difference from the standard time-average approach. While time averages extract…

Statistical Mechanics · Physics 2026-03-11 Davide Carbone , Vincenzo Di Florio , Stefano Lepri , Lamberto Rondoni

We study transport of local magnetization in a Heisenberg spin-1/2 chain at zero temperature. The system is initially prepared in a highly excited pure state far from equilibrium and its evolution is analyzed via exact diagonalization.…

Statistical Mechanics · Physics 2015-05-13 L. F. Santos

Recent studies report on anomalous spin transport for the integrable Heisenberg spin chain at its isotropic point. Anomalous scaling is also observed in the time-evolution of non-equilibrium initial conditions, the decay of current-current…

Statistical Mechanics · Physics 2019-10-24 Avijit Das , Manas Kulkarni , Herbert Spohn , Abhishek Dhar

We present the theory of nonzero temperature ($T$) spin dynamics and transport in one-dimensional Heisenberg antiferromagnets with an energy gap $\Delta$. For $T << \Delta$, we develop a semiclassical picture of thermally excited particles.…

Strongly Correlated Electrons · Physics 2007-05-23 Kedar Damle , Subir Sachdev

Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to…

Statistical Mechanics · Physics 2015-06-24 Stefano Lepri , Roberto Livi , Antonio Politi

We extended the Density Matrix Renormalization Group method to study the real time dynamics of interacting one dimensional spinless Fermi systems by applying the full time evolution operator to an initial state. As an example we describe…

Strongly Correlated Electrons · Physics 2009-11-10 Peter Schmitteckert
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