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A microscopic model for thermal excitation of vibrational ground state of a molecule interacting with a condensed medium is developed. The master equation for evolution of occupancies of the vibrational levels is derived. The rate constant…

统计力学 · 物理学 2011-03-04 V. I. Teslenko , D. Y. Iatsenko

Whether and how a system reaches thermalization is a fundamental issue of statistical physics. While for one-dimensional lattices this issue has been intensively studied in terms of energy equipartition for more than half a century, few…

统计力学 · 物理学 2024-05-29 Zhen Wang , Weicheng Fu , Yong Zhang , Hong Zhao

Solid-state high-harmonic spectroscopy allows the study of strongly driven ultrafast electron dynamics. Microscopically, high harmonics are generated by strong-laser-field acceleration of electron-hole pairs through the lattice. At finite…

According to conventional wisdom, a system placed in an environment with a different temperature tends to relax to the temperature of the latter, mediated by the flows of heat and/or matter that are set solely by the temperature difference.…

统计力学 · 物理学 2024-03-18 Miguel Ibáñez , Cai Dieball , Antonio Lasanta , Aljaž Godec , Raúl A. Rica

The statistical mechanical behavior of weakly nonlinear multimoded optical settings is attracting increased interest during the last few years. The main purpose of this work is to numerically investigate the main factors that affect the…

While the vibrational thermodynamics of materials with small anharmonicity at low temperatures has been understood well based on the harmonic phonons approximation; at high temperatures, this understanding must accommodate how phonons…

材料科学 · 物理学 2015-10-20 Tian Lan

This paper proposes a new methodological framework within which the heat conductance in 1D lattices can be studied. The total process of heat conductance is separated into two parts where the first one is the equilibrium process at equal…

混沌动力学 · 物理学 2010-06-10 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions,…

This work presents a formalism to derive field quantities and conservation laws from the atomistic using the theory of distributions as the mathematical tool. By defining temperature as a derived quantity as that in molecular kinetic theory…

统计力学 · 物理学 2023-11-20 Youping Chen

It is shown that in crystal lattices with a basis the cooperative behavior of a certain type of atoms performing optical long-wavelength vibrations in a double-well potential of the field of the matrix lattice may lead to the formation of a…

介观与纳米尺度物理 · 物理学 2020-11-04 A. P. Saiko , V. E. Gusakov

We review recent rigorous mathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. The random exchange models the effects of…

统计力学 · 物理学 2015-12-24 Giada Basile , Cédric Bernardin , Milton Jara , Tomasz Komorowski , Stefano Olla

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

统计力学 · 物理学 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of…

高能物理 - 理论 · 物理学 2007-05-23 Georg Junker

We study the warming process of a semi-infinite cylindrical Ising lattice initially ordered and coupled at the boundary to a heat reservoir. The adoption of a proper microcanonical dynamics allows a detailed study of the time evolution of…

统计力学 · 物理学 2015-06-03 Elena Agliari , Mario Casartelli , Alessandro Vezzani

An analytical model of high frequency oscillations of the kinetic and potential energies in a one-dimensional harmonic crystal with a substrate potential is obtained by introducing the nonlocal energies [1]. A generalization of the kinetic…

统计力学 · 物理学 2018-02-07 Mikhail B. Babenkov , Anton M. Krivtsov , Denis V. Tsvetkov

For the free Fermion gas at thermodynamic equilibrium, the temperature which represents the averaged kinetic energy is demonstrated to have the proper property which is invariant under the Lorentz boost, using the conceptions of the…

经典物理 · 物理学 2007-05-23 W. Z. Jiang

Relaxation process of a coherent scalar field oscillation in the thermal bath is investigated using nonequilibrium quantum field theory. The Langevin-type equation of motion is obtained which has a memory term and both additive and…

高能物理 - 唯象学 · 物理学 2009-11-10 Jun'ichi Yokoyama

A new approach to the dynamics of relaxation and kinetics of thermalization in a scalar field theory is presented that incorporates the relevant time scales through the resummation of hard thermal loops. An alternative derivation of the…

高能物理 - 唯象学 · 物理学 2009-10-28 D. Boyanovsky , I. D. Lawrie , D. S. Lee

The notion of negative absolute temperature emerges naturally from Boltzmann's definition of "surface" microcanonical entropy in isolated systems with a bounded energy density. Recently, the well-posedness of such construct has been…

统计力学 · 物理学 2017-05-31 Pierfrancesco Buonsante , Roberto Franzosi , Augusto Smerzi

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

无序系统与神经网络 · 物理学 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier