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Related papers: Thermal lifetime of breathers

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Nonequilibrium, quasi-stationary states of a one-dimensional "hard" $\phi^4$ deterministic lattice, initially thermalized to a particular temperature, are investigated when brought into contact with a stochastic thermal bath at lower…

Statistical Mechanics · Physics 2014-08-27 Th. Oikonomou , A. Nergis , N. Lazarides , G. P. Tsironis

We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized and time periodic solutions) in DNLS lattices with power nonlinearity. The estimation depending explicitly on the…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , N. I. Karachalios , F. Palmero

We present a numerical method for obtaining high-accuracy numerical solutions of spatially localized time-periodic excitations on a nonlinear Hamiltonian lattice. We compare these results with analytical considerations of the spatial decay.…

patt-sol · Physics 2009-10-28 Sergej Flach

We study a discrete two-dimensional nonlinear system that allows for discrete breather solutions. We perform a spectral analysis of the lattice dynamics at thermal equilibrium and use a cooling technique to measure the amount of breathers…

Statistical Mechanics · Physics 2009-11-10 Maria Eleftheriou , Sergej Flach

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…

Pattern Formation and Solitons · Physics 2018-02-13 Yi Ming , Dong-Bo Ling , Hui-Min Li , Ze-Jun Ding

Discrete breathers are time-periodic, spatially localized solutions of equations of motion for classical degrees of freedom interacting on a lattice. They come in one-parameter families. We report on studies of energy properties of breather…

patt-sol · Physics 2009-10-30 S. Flach , K. Kladko , R. S. MacKay

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 · Physics 2015-06-26 K. Ø. Rasmussen , S. Aubry , A. R. Bishop , G. P. Tsironis

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. An important issue, not only from a theoretical point of view but also for…

Pattern Formation and Solitons · Physics 2009-11-10 Michael Kastner

This work focuses on the study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and strain-softening. The existence, stability, and bifurcation…

Pattern Formation and Solitons · Physics 2023-05-24 Marisa M. Lee , Efstathios G. Charalampidis , Siyuan Xing , Christopher Chong , Panayotis G. Kevrekidis

Intrinsic localized modes or discrete breathers are investigated by molecular dynamics simulations in free-standing graphene. Discrete breathers are generated either through thermal quenching of the graphene lattice or by proper…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Alberto Fraile , Emmanuel N. Koukaras , Konstantinos Papagelis , Nikos Lazarides , Giorgos P. Tsironis

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete breathers. These solutions are time-periodic and (typically exponentially) localized in space. The lattices exhibit discrete translational symmetry.…

patt-sol · Physics 2015-06-26 S. Flach , C. R. Willis

We analyze the properties of breathers (time periodic spatially localized solutions) on chains in the presence of algebraically decaying interactions $1/r^s$. We find that the spatial decay of a breather shows a crossover from exponential…

Condensed Matter · Physics 2009-10-31 S. Flach

We study the effects of electron-lattice interaction in the presence of discrete breathers. The lattice is treated classically. We consider two different situations - i) the scattering of an electron by a discrete breather in the…

Statistical Mechanics · Physics 2008-02-03 S. Flach , K. Kladko

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations.…

Statistical Mechanics · Physics 2020-03-19 V. V. Ryazanov

The thermodynamics is studied with the thermodynamic parameter of the lifetime, first-passage time, generalizing the equilibrium thermodynamics. Various ways of describing several stationary nonequilibrium states in the system are…

Statistical Mechanics · Physics 2019-10-21 V. V. Ryazanov

We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process…

patt-sol · Physics 2008-02-03 T. Dauxois , M. Peyrard

We investigate the existence of spatially localised solutions, in the form of discrete breathers, in general damped and driven nonlinear lattice systems of coupled oscillators. Conditions for the exponential decay of the difference between…

Pattern Formation and Solitons · Physics 2013-10-25 Dirk Hennig

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. We study the existence of energy thresholds for discrete breathers, i.e.,…

Pattern Formation and Solitons · Physics 2007-05-23 Michael Kastner

We study - experimentally, theoretically, and numerically - nonlinear excitations in lattices of magnets with long-range interactions. We examine breather solutions, which are spatially localized and periodic in time, in a chain with…

Pattern Formation and Solitons · Physics 2019-07-24 Miguel Molerón , C. Chong , Alejandro J. Martínez , Mason A. Porter , P. G. Kevrekidis , Chiara Daraio

To describe the nonequilibrium states of the system, a new thermodynamic parameter - system lifetime - is introduced. Statistical distributions that describe the behavior of energy and lifetime are recorded. Entropy and obtained…

Statistical Mechanics · Physics 2019-10-14 V. V. Ryazanov
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