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A master equation for the deformed quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived in the microscopic model by using perturbation theory. The coefficients of the master…

量子物理 · 物理学 2009-11-13 A. Isar , W. Scheid

We investigate how the kinetic energy acquired by a dense granular system driven by an external vibration depends on the input energy. Our focus is on the dependence of the granular behavior on two main parameters: frequency and vibration…

软凝聚态物质 · 物理学 2021-01-14 A. Plati , L. de Arcangelis , A. Gnoli , E. Lippiello , A. Puglisi , A. Sarracino

A fast harmonic oscillator is linearly coupled with a system of Ising spins that are in contact with a thermal bath, and evolve under a slow Glauber dynamics at dimensionless temperature $\theta$. The spins have a coupling constant…

统计力学 · 物理学 2012-03-26 L. L. Bonilla , A. Prados , A. Carpio

We, herein, present a new model based on the framework of synchronization to describe a thermoacoustic system and capture the multiple bifurcations that such a system undergoes. Instead of applying flame describing function to depict the…

适应与自组织系统 · 物理学 2020-06-11 Yue Weng , Vishnu R. Unni , R. I. Sujith , Abhishek Saha

The emission of electromagnetic waves from a system described by the H\'enon-Heiles potential is studied in this work. The main aim being to analyze the behavior of the system when the damping term is included explicitly into the equations…

经典物理 · 物理学 2016-03-31 Fernando Kokubun , Vilson T. Zanchin

This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment…

化学物理 · 物理学 2026-01-26 Ignacio Gustin , Chang Woo Kim , Ignacio Franco

The much-studied Morse oscillator (MO) is couched here in the context of an open quantum system, in which the interaction with the quantum environment, however, is taken to commute with the subsystem Hamiltonian. The result is decoherence…

量子物理 · 物理学 2025-04-30 Titir Mukherjee , Arnab Acharya , Sushanta Dattagupta

The question under which conditions oscillators with slightly different frequencies synchronize appears in various settings. We show that synchronization can be achieved even for harmonic oscillators that are bilinearly coupled via a purely…

混沌动力学 · 物理学 2023-02-01 Juan N. Moreno , Christopher W. Wächtler , Alexander Eisfeld

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

We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point…

量子气体 · 物理学 2014-03-14 Z. Wu , E. Zaremba

The quantum dynamics of a damped harmonic oscillator is investigated in the presence of an anisotropic heat bath. The medium is modeled by a continuum of three dimensional harmonic oscillators and anisotropic coupling is treated by…

量子物理 · 物理学 2017-01-18 Marjan Jafari , Fardin Kheirandish

We numerically simulate a thermalization process in an energy landscape with hierarchically organized metastable states. The initial configuration is chosen to have a large energy excess, relative to the thermal equilibrium value at the…

统计力学 · 物理学 2009-11-13 Andreas Fischer , Paolo Sibani , Karl Heinz Hoffmann

We show that the dissipation term in the Hamiltonian for a couple of classical damped-amplified oscillators manifests itself as a geometric phase and is actually responsible for the appearance of the zero point energy in the quantum…

高能物理 - 理论 · 物理学 2014-11-18 Massimo Blasone , Petr Jizba , Giuseppe Vitiello

"Hot atoms", which are atoms in their excited states, transfer their energy to the surrounding atmosphere through collisions. This process of energy transfer is known as thermalization, and it plays a crucial role in various astrophysical…

地球与行星天体物理 · 物理学 2023-10-13 Sanchit Kumar , Sumit Kumar , Marko Gacesa , Nayla El-Kork , Sharma S. R. K. C. Yamijala

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter $\gamma$. When $\gamma$ is of order one, the energy diffuses according to the standard heat equation after a space-time diffusive scaling. On the…

We perform a fully self-consistent 3-D numerical simulation for a compressible, dissipative magneto-plasma driven by large-scale perturbations, that contain a fairly broader spectrum of characteristic modes, ranging from largest scales to…

空间物理 · 物理学 2015-05-13 Dastgeer Shaikh , B. Dasgupta , Q. Hu , G. P. Zank

We consider a radiation from a uniformly accelerating harmonic oscillator whose minimal coupling to the scalar field changes suddenly. The exact time evolutions of the quantum operators are given in terms of a classical solution of a forced…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Hyeong-Chan Kim , Jae-Kwan Kim

In this paper we study the thermal equilibration of small bipartite Bose-Hubbard systems, both quantum mechanically and in mean-field approximation. In particular we consider small systems composed of a single-mode "thermometer" coupled to…

量子物理 · 物理学 2019-06-26 Ralf Bürkle , James R. Anglin

How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static.…

混沌动力学 · 物理学 2016-08-17 Ramesh Arumugam , Partha Sharathi Dutta , Tanmoy Banerjee

Approximate formulas are derived to describe energy loss in a harmonic oscillator that experiences three distinct damping mechanisms: constant-magnitude (Coulomb), velocity-proportional (Stokes), and velocity-squared (Newton), using…

经典物理 · 物理学 2026-02-24 Robert Pezer , Karlo Lelas