Statistical Mechanics of Intermittent Chaos
نویسندگان
چکیده
منابع مشابه
Quantum Chaos and Statistical Mechanics
We briefly review the well known connection between classical chaos and classical statistical mechanics, and the recently discovered connection between quantum chaos and quantum statistical mechanics. Talk given at the Conference on Fundamental Problems in Quantum Theory Baltimore, June 18–22, 1994 Consider a dilute gas of hard spheres in a box with hard walls. Give the spheres some arbitrary i...
متن کاملDoes quantum chaos explain quantum statistical mechanics?
If a many-body quantum system approaches thermal equilibrium from a generic initial state, then the expectation value 〈ψ(t)|Ai|ψ(t)〉, where |ψ(t)〉 is the system’s state vector and Ai is an experimentally accessible observable, should approach a constant value which is independent of the initial state, and equal to a thermal average of Ai at an appropriate temperature. We show that this is the c...
متن کاملDynamical Chaos and Nonequilibrium Statistical Mechanics
Chaos in the motion of atoms and molecules composing fluids is a new topic in nonequilibrium physics. Relationships have been established between the characteristic quantities of chaos and the transport coefficients thanks to the concept of fractal repeller and the escape-rate formalism. Moreover, the hydrodynamic modes of relaxation to the thermodynamic equilibrium as well as the nonequilibriu...
متن کاملGeneralized Statistical Mechanics at the Onset of Chaos
Transitions to chaos in archetypal low-dimensional nonlinear maps offer real and precise model systems in which to assess proposed generalizations of statistical mechanics. The known association of chaotic dynamics with the structure of Boltzmann–Gibbs (BG) statistical mechanics has suggested the potential verification of these generalizations at the onset of chaos, when the only Lyapunov expon...
متن کاملChaos and Statistical Mechanics in the Hamiltonian Mean Field model
We study the dynamical and statistical behavior of the Hamiltonian Mean Field (HMF) model in order to investigate the relation between microscopic chaos and phase transitions. HMF is a simple toy model of N fully-coupled rotators which shows a second order phase transition. The canonical thermodynamical solution is briefly recalled and its predictions are tested numerically at finite N . The Vl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 1984
ISSN: 0375-9687
DOI: 10.1143/ptps.79.96