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We study the dynamics of the discrete nonlinear Schr{\"o}dinger lattice initialized such that a very long transitory period of time in which standard Boltzmann statistics is insufficient is reached. Our study of the nonlinear system locked…

patt-sol · 物理学 2015-06-26 K. Ø. Rasmussen , S. Aubry , A. R. Bishop , G. P. Tsironis

We explore the statistical behavior of the discrete nonlinear Schroedinger equation. We find a parameter region where the system evolves towards a state characterized by a finite density of breathers and a negative temperature. Such a state…

斑图形成与孤子 · 物理学 2015-06-04 S. Iubini , R. Franzosi , R. Livi , G. -L. Oppo , A. Politi

When coupling thermal baths at different temperatures, negative differential thermal conductivity is typically attributed to nonlinear interactions in the connecting medium. In this work, we demonstrate that such an effect can arise purely…

统计力学 · 物理学 2026-05-13 Simon Krekels , Christian Maes , Ion Santra , Ruoxun Zhai

We show that the one dimensional discrete nonlinear Schr\"odinger chain (DNLS) at finite temperature has three different dynamical regimes (ultra-low, low and high temperature regimes). This has been established via (i) one point…

统计力学 · 物理学 2022-03-31 Amit Kumar Chatterjee , Manas Kulkarni , Anupam Kundu

We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of…

chao-dyn · 物理学 2009-10-31 Jean-Pierre Eckmann , Martin Hairer

We investigate the thermal responses of a harmonic oscillator chain coupled at its boundaries to heat baths held at different temperatures. This setup sustains a steady energy flux, continuously dissipating heat into both reservoirs. By…

统计力学 · 物理学 2026-04-16 Michiel Gautama , Faezeh Khodabandehlou , Christian Maes , Ion Santra

We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a…

统计力学 · 物理学 2015-06-15 Anton V. Dolgikh , Daniel S. Kosov

We study metastable behavior in a discrete nonlinear Schr\"odinger equation from the viewpoint of Hamiltonian systems theory. When there are $n < \infty$ sites in this equation, we consider initial conditions in which almost all the energy…

动力系统 · 数学 2020-10-28 Jean-Pierre Eckmann , C. Eugene Wayne

In strained monoatomic chains with Lennard-Jones interactions, we revealed a stable static non-homogeneous structure appearing as a result of a certain phase transition. Positions of individual particles in this structure form an exact…

斑图形成与孤子 · 物理学 2018-09-25 G. M. Chechin , V. S. Lapina

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

概率论 · 数学 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

We study the thermal equilibrium of nonlinear Klein-Gordon chains at the limit of small coupling (anticontinuum limit). We show that the persistence distribution associated to the local energy density is a useful tool to study the…

统计力学 · 物理学 2009-11-13 Jean Farago

We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators.…

统计力学 · 物理学 2017-04-26 Wojciech De Roeck , Abhishek Dhar , Francois Huveneers , Marius Schuetz

So far, only the energy thresholds of single discrete breathers in nonlinear Hamiltonian systems have been analytically obtained. In this work, the energy thresholds of discrete breathers in thermal equilibrium and the energy thresholds of…

斑图形成与孤子 · 物理学 2018-02-13 Yi Ming , Dong-Bo Ling , Hui-Min Li , Ze-Jun Ding

We present an experimental study of discrete breathers in an underdamped Josephson-junction array. Breathers exist under a range of dc current biases and temperatures, and are detected by measuring dc voltages. We find the maximum allowable…

超导电性 · 物理学 2009-10-31 E. Trias , J. J. Mazo , T. P. Orlando

We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependent perturbation theory allows us to obtain an explicit…

混沌动力学 · 物理学 2016-09-08 F. Piazza , S. Lepri , R. Livi

In this work, we study the dynamics of an infinite array of nonlinear dimer oscillators which are linearly coupled as in the classical model of Su, Schrieffer and Heeger (SSH). The ratio of in-cell and out-of-cell couplings of the SSH model…

斑图形成与孤子 · 物理学 2023-06-07 A. Hofstrand , H. Li , M. I. Weinstein

We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary state, we show rigorously that for…

chao-dyn · 物理学 2015-06-24 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

The dynamics of short 1D nonlinear Hamiltonian chains is analyzed numerically at different temperatures (energy per particle). The boundary temperature $T_b$ separating the regular (quasiperiodic) and the stochastic (chaotic) chain motion…

混沌动力学 · 物理学 2014-04-25 A. N. Artemov

In numerical experiments involving nonlinear solitary waves propagating through nonhomogeneous media one observes "breathing" in the sense of the amplitude of the wave going up and down on a much faster scale than the motion of the wave. In…

偏微分方程分析 · 数学 2015-05-13 Justin Holmer , Maciej Zworski

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

统计力学 · 物理学 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico
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