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Low temperature dependence of specific heat of one- dimensional multicomponent systems at the commensurate- incommensurate phase transition point is studied. It is found that for canonical systems, with a fixed total number of particles,…

Strongly Correlated Electrons · Physics 2015-05-14 Temo Vekua

We discuss the relaxation time (inverse spectral gap) of the one dimensional $O(N)$ model, for all $N$ and with two types of boundary conditions. We see how its low temperature asymptotic behavior is affected by the topology. The…

Probability · Mathematics 2024-07-18 Pietro Caputo , Sébastien Ott , Assaf Shapira

We evaluate the relaxation rate of high-energy quasiparticles in a weakly interacting one-dimensional Bose gas. Unlike in higher dimensions, the rate is a nonmonotonic function of temperature, with a maximum at the crossover to the state of…

Quantum Gases · Physics 2010-08-27 Shina Tan , Michael Pustilnik , Leonid I. Glazman

We uncover an unforeseen asymmetry in relaxation -- for a pair of thermodynamically equidistant temperature quenches, one from a lower and the other from a higher temperature, the relaxation at the ambient temperature is faster in case of…

Statistical Mechanics · Physics 2022-06-20 Alessio Lapolla , Aljaž Godec

A theoretical study on low-temperature structural phase transitions is presented, in which both phonon-like and relaxation order-parameter dynamics are contemplated. While the first limiting case has been considered previously, the second…

Statistical Mechanics · Physics 2009-11-10 A. Cano , A. P. Levanyuk

We present measurements of the dielectric response of quasi one-dimensional (TMTTF)2AsF6 in a wide temperature and frequency range. We provide a thorough characterization of the relaxational dynamics observed close to the ferroelectric-like…

Strongly Correlated Electrons · Physics 2009-11-11 D. Staresinic , K. Biljakovic , P. Lunkenheimer , A. Loidl

We derive and analyze a novel approach for modeling and computing the mechanical relaxation of incommensurate 2D heterostructures. Our approach parametrizes the relaxation pattern by the compact local configuration space rather than real…

Computational Physics · Physics 2019-09-04 Paul Cazeaux , Mitchell Luskin , Daniel Massatt

We show that in low dimensional disordered conductors, the quasiparticle decay and the relaxation of the phase are not exponential processes. In the quasi-one dimensional case, both behave at small time as $e^{- (t/\tau_{in})^{3/2}}$ where…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gilles Montambaux , Eric Akkermans

We show that, in low dimensional conductors, the quasiparticle decay and the relaxation of the phase are not exponential processes. In quasi-one dimension, they scale as $e^{- (t/\tau_N)^{3/2}}$ where the characteristic time $\tau_{in}$,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gilles Montambaux , Eric Akkermans

We derive a simple system of equations to describe the magnetization relaxation of a molecular spin in weak interaction with a thermal bath for the whole temperature domain. Using this for the intermediate temperature domain where the…

Materials Science · Physics 2022-12-27 Le Tuan Anh Ho , Liviu Ungur , Liviu F. Chibotaru

Transition metal dichalcogenides host a variety of charge density wave phases that couple lattice, charge, and correlation effects. In 1T-TaS2, the commensurate and nearly commensurate states are well characterized, yet the transition near…

We investigate a two-level system in resonant contact with a larger environment. The environment typically is in a canonical state with a given temperature initially. Depending on the precise spectral structure of the environment and the…

Quantum Physics · Physics 2009-11-13 Harry Schmidt , Guenter Mahler

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

Statistical Mechanics · Physics 2009-11-10 A. Perez-Madrid

We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing…

Statistical Mechanics · Physics 2015-06-24 Fulvio Baldovin , Edgardo Brigatti , Constantino Tsallis

The equilibrium properties of a minimal tiling model are investigated. The model has extensive ground state entropy, with each ground state having a quasiperiodic sequence of rows. It is found that the transition from the quasiperiodic…

Statistical Mechanics · Physics 2013-03-27 Nikolai Nikola , Daniel Hexner , Dov Levine

This paper presents a unified perspective on the results of two recent works (C. Buragohain and S. Sachdev cond-mat/9811083 and S. Sachdev cond-mat/9810399) along with additional background. We describe the low frequency, non-zero…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

The paper deals with the problem of open systems out of equilibrium. An analytical expression for time-dependent density matrix of two arbitrary coupled identical quantum oscillators interacting with separate reservoirs is derived using…

Quantum Physics · Physics 2014-12-16 Illarion Dorofeyev

The long-time thermal relaxation of (TMTTF)$_2$Br, Sr$_{14}$Cu$_{24}$O$_{41}$ and Sr$_2$Ca$_{12}$Cu$_{24}$O$_{41}$ single crystals at temperatures below 1 K and magnetic field up to 10 T is investigated. The data allow us to determine the…

Materials Science · Physics 2016-10-25 S. Sahling , G. Remenyi , J. E. Lorenzo , P. Monceau , V. L. Katkov , V. A. Osipov

We studied the nuclear relaxation rate 1/T1 of a ferromagnetic-superconducting system from the mean field model proposed in Ref.14. This model predicts the existence of a set of gapless excitations in the energy spectrum which will affect…

Superconductivity · Physics 2009-11-10 Hari P. Dahal , Jason Jackiewicz , Kevin S. Bedell

A characteristic feature of thermalized non-equilibrated matter is that, in spite of energy relaxation--equilibration, a phase memory of the way the many-body system was excited remains. As an example, we analyze data on a strong forward…

Superconductivity · Physics 2011-11-09 L. Benet , M. Bienert , S. Yu. Kun
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