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Quantum chaos and thermalization in isolated systems of interacting particles
This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …
interacting constituents. A variety of physically important systems of intensive current interest …
Wave Turbulence and thermalization in one-dimensional chains
One-dimensional chains are used as a fundamental model of condensed matter, and have
constituted the starting point for key developments in nonlinear physics and complex …
constituted the starting point for key developments in nonlinear physics and complex …
[ספר][B] Chaos: from simple models to complex systems
A Vulpiani - 2010 - books.google.com
Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …
students through chaos and nonlinear dynamics from classical examples to the most recent …
The Fermi–Pasta–Ulam problem: fifty years of progress
A brief review of the Fermi–Pasta–Ulam (FPU) paradox is given, together with its suggested
resolutions and its relation to other physical problems. We focus on the ideas and concepts …
resolutions and its relation to other physical problems. We focus on the ideas and concepts …
[PDF][PDF] A tutorial on KAM theory
This is a tutorial on some of the main ideas in KAM theory. The goal is to present the
background and to explain and compare somewhat informally some of the main methods of …
background and to explain and compare somewhat informally some of the main methods of …
[ספר][B] Geometry and topology in Hamiltonian dynamics and statistical mechanics
M Pettini - 2007 - Springer
Phase transitions are among the most impressive phenomena occurring in nature. They are
an example of emergent behavior, ie, of collective properties having no direct counterpart in …
an example of emergent behavior, ie, of collective properties having no direct counterpart in …
Route to thermalization in the α-Fermi–Pasta–Ulam system
We study the original α-Fermi–Pasta–Ulam (FPU) system with N= 16, 32, and 64 masses
connected by a nonlinear quadratic spring. Our approach is based on resonant wave–wave …
connected by a nonlinear quadratic spring. Our approach is based on resonant wave–wave …
Localization and equipartition of energy in the β-FPU chain: Chaotic breathers
The evolution towards equipartition in the β-FPU chain is studied considering as initial
condition the highest frequency mode. Above an analytically derived energy threshold, this …
condition the highest frequency mode. Above an analytically derived energy threshold, this …
Onset of chaos and relaxation in isolated systems of interacting spins: Energy shell approach
We study the onset of chaos and statistical relaxation in two isolated dynamical quantum
systems of interacting spins 1/2, one of which is integrable and the other chaotic. Our …
systems of interacting spins 1/2, one of which is integrable and the other chaotic. Our …
The Fermi-Pasta-Ulam problem and its underlying integrable dynamics
This paper is devoted to a numerical study of the familiar α+ β FPU model. Precisely, we
here discuss, revisit and combine together two main ideas on the subject:(i) In the system, at …
here discuss, revisit and combine together two main ideas on the subject:(i) In the system, at …