Linear Response of One Dimensional Nonlinear System. I. Dynamical Properties of the φ4Chain

1979 ◽  
Vol 47 (3) ◽  
pp. 699-705 ◽  
Author(s):  
Masatoshi Imada
Keyword(s):  
Nonlinear System ◽  
Linear Response ◽  
One Dimensional ◽  
Dynamical Properties

scholarly journals Transport in one-dimensional integrable quantum systems

2020 ◽  
Author(s):  
Jesko Sirker
Keyword(s):  
Transport Properties ◽  
Spin Chain ◽  
Linear Response ◽  
Summer School ◽  
Condensed Matter ◽  
Quantum Systems ◽  
Integrable Models ◽  
One Dimensional ◽  
Integrable Quantum ◽  
Linear Response Regime

These notes are based on a series of three lectures given at the Les Houches summer school on ’Integrability in Atomic and Condensed Matter Physics’ in August 2018. They provide an introduction into the unusual transport properties of integrable models in the linear response regime focussing, in particular, on the spin-1/21/2 XXZ spin chain.

scholarly journals Dynamical Properties of One-Dimensional Multicomponent Quantum Liquids in Metallic Phase

2002 ◽  
Vol 71 (8) ◽  
pp. 1947-1955 ◽  
Author(s):  
Satoshi Miyashita ◽  
Akira Kawaguchi ◽  
Norio Kawakami
Keyword(s):  
Metallic Phase ◽  
One Dimensional ◽  
Quantum Liquids ◽  
Dynamical Properties

Dynamical properties of one-dimensional antiferromagnets: A Monte Carlo study

1993 ◽  
Vol 48 (14) ◽  
pp. 10227-10239 ◽  
Author(s):  
J. Deisz ◽  
M. Jarrell ◽  
D. L. Cox
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Study ◽  
One Dimensional ◽  
Dynamical Properties

Topological classification of periodic orbits in the Kuramoto–Sivashinsky equation

2018 ◽  
Vol 32 (15) ◽  
pp. 1850155 ◽  
Author(s):  
Chengwei Dong
Keyword(s):  
Nonlinear System ◽  
Variational Method ◽  
Periodic Orbits ◽  
Symbolic Dynamics ◽  
Chaotic Systems ◽  
Building Blocks ◽  
Topological Classification ◽  
One Dimensional ◽  
Sivashinsky Equation

In this paper, we systematically research periodic orbits of the Kuramoto–Sivashinsky equation (KSe). In order to overcome the difficulties in the establishment of one-dimensional symbolic dynamics in the nonlinear system, two basic periodic orbits can be used as basic building blocks to initialize cycle searching, and we use the variational method to numerically determine all the periodic orbits under parameter [Formula: see text] = 0.02991. The symbolic dynamics based on trajectory topology are very successful for classifying all short periodic orbits in the KSe. The current research can be conveniently adapted to the identification and classification of periodic orbits in other chaotic systems.

Sign in / Sign up

Export Citation Format

Share Document