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We study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant…

Statistical Mechanics · Physics 2024-12-11 István Csépányi , Márton Kormos

We compute the energies and transition probabilities for low excitations in the one dimensional antiferromagnetic spin-1/2 Heisenberg model by means of the recursion method. We analyse finite size effects in the euclidian time…

Condensed Matter · Physics 2009-10-28 A Fledderjohann , M Karbach , K-H Mütter , P Wielath

{}From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the dynamical critical exponent $z$ is estimated to be $2.165 \pm 0.010$ for this model. The relaxation in the ordered phase of this model is…

Condensed Matter · Physics 2009-10-22 Nobuyasu Ito

The quantum modes of a nonlinear Klein-Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to phonon bound states. In the present paper, we compute…

Materials Science · Physics 2008-11-04 Laurent Proville

We obtain an exact analytic expression for the dynamical structure factor of one-dimensional quantum gas of hard rods. Our result is valid for arbitrary many-body state of the system, with finite temperature states and the ground state…

Quantum Gases · Physics 2026-01-22 Oleksandr Gamayun , Miłosz Panfil

We introduce a novel variance-reducing Monte Carlo algorithm for accurate determination of autocorrelation times. We apply this method to two-dimensional Ising systems with sizes up to $15 \times 15$, using single-spin flip dynamics, random…

Condensed Matter · Physics 2016-08-15 M. P. Nightingale , H. W. J. Blöte

We study the dynamic structure factor of fluctuating elastic thin sheets subject to conservative (athermal) random forcing. In Steinbock, Katzav & Boudaoud, Phys. Rev. Research 4, 033096 (2022), the static structure factor of such a sheet…

Soft Condensed Matter · Physics 2023-02-09 Chanania Steinbock , Eytan Katzav

The spin-$\frac{1}{2}$ XXZ chain with easy-plane anisotropy in a transverse field describes well the thermodynamic properties of the material ${\rm Cs_2CoCl_4}$ in a wide range of temperatures and fields including the region close to the…

Strongly Correlated Electrons · Physics 2016-08-23 Benedikt Bruognolo , Andreas Weichselbaum , Jan von Delft , Markus Garst

We develop a linked cluster method to calculate the spectral weights of many-particle excitations at zero temperature. The dynamical structure factor is expressed as a sum of exclusive structure factors, each representing contributions from…

Strongly Correlated Electrons · Physics 2009-11-10 Chris J. Hamer , Weihong Zheng , Rajiv R. P. Singh

The dynamical structure factor of a Coulomb crystal of ions is calculated at arbitrary temperature below the melting point taking into account multi-phonon processes in the harmonic approximation. In a strongly coupled Coulomb ion liquid,…

Plasma Physics · Physics 2007-05-23 D. A. Baiko , A. D. Kaminker , A. Y. Potekhin , D. G. Yakovlev

While the 1D Bose gas appears to exhibit superfluid response under certain conditions, it fails the Landau criterion according to the elementary excitation spectrum calculated by Lieb. The apparent riddle is solved by calculating the…

Other Condensed Matter · Physics 2007-05-23 Joachim Brand , Alexander Yu. Cherny

Recently, Imambekov and Glazman [Phys. Rev. Lett. 100, 206805 (2008)] showed that the dynamic structure factor (DSF) of the 1D Bose gas demonstrates power-law behaviour along the limiting dispersion curve of the collective modes and…

Statistical Mechanics · Physics 2009-06-19 Alexander Yu. Cherny , Joachim Brand

We present a comparative theoretical and experimental study of dynamic structure factors (momentum-dependent loss functions) of the noble metals Cu, Ag, and Au in the energy range of 0$-$60 eV. The emphasis is on theoretical results that…

Materials Science · Physics 2013-11-19 Audrius Alkauskas , Simon D. Schneider , Cécile Hébert , Stephan Sagmeister , Claudia Draxl

The dynamical hysteresis is studied in the kinetic Ising model in the presence of a sinusoidal magnetic field both by Monte Carlo simulation and by solving the dynamical meanfield equation for the averaged magnetisation. The frequency…

Condensed Matter · Physics 2007-05-23 Muktish Acharyya

The dynamic sructure factor as the basic quantity describing the collective excitations in a fluid is considered. We consider the cases of neutral and Coulombic fluids. The classical method of moments is applied to construct the dynamic…

Plasma Physics · Physics 2009-10-31 J. Ortner

The zero-temperature dynamical structure factor $S(q,\omega)$ of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe Ansatz analysis. As the density…

Other Condensed Matter · Physics 2016-10-19 M. Motta , E. Vitali , M. Rossi , D. E. Galli , G. Bertaina

We compute the spin structure factor of XXZ spin chains in the Heisenberg and gapped (Ising) regimes in the high-temperature limit for nonzero magnetization, within the framework of generalized hydrodynamics including diffusive corrections.…

Statistical Mechanics · Physics 2019-08-21 Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

The random-field Ising model shows extreme critical slowdown that has been described by activated dynamic scaling: the characteristic time for the relaxation to equilibrium diverges exponentially with the correlation length, $\ln \tau\sim…

Statistical Mechanics · Physics 2017-10-12 Ivan Balog , Gilles Tarjus

We investigate the nonequilibrium behavior of the d-dimensional Ising model with purely dissipative dynamics during its critical relaxation from a magnetized initial configuration. The universal scaling forms of the two-time response and…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi , Florent Krzakala

We study hysteresis for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations. The period-averaged magnetization is the order parameter for a proposed dynamic phase…

Statistical Mechanics · Physics 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny