The soliton: a new concept in applied science

AC Scott, FYF Chu, DW McLaughlin - Proceedings of the IEEE, 1973 - ieeexplore.ieee.org
The term soliton has recently been coined to describe a pulselike nonlinear wave (solitary
wave) which emerges from a collision with a similar pulse having unchanged shape and …

Foundations of statistical mechanics

O Penrose - Reports on Progress in Physics, 1979 - iopscience.iop.org
Developments in the foundations of statistical mechanics during the past ten years or so.
The author discusses how statistical concepts enter the treatment of deterministic …

Dynamical models of elliptical galaxies

CP Wilson - Symposium-International Astronomical Union, 1975 - cambridge.org
DYNAMICAL MODELS OF ELLIPTICAL GALAXIES Because the relaxation time of an elliptical
galaxy is greater than its age, such a syst Page 1 DYNAMICAL MODELS OF ELLIPTICAL …

Semiclassical theory of bound states

IC Percival - Adv. Chem. Phys, 1977 - books.google.com
B. Action function for the oscillator. C. Maslov index function and Maslov index D. Vibration
and rotation. III. Semiclassical mechanics for one degree of freedom A. Wave functions in …

Equipartition threshold in nonlinear large Hamiltonian systems: The Fermi-Pasta-Ulam model

R Livi, M Pettini, S Ruffo, M Sparpaglione, A Vulpiani - Physical Review A, 1985 - APS
Abstract The Fermi-Pasta-Ulam β model has been studied by integrating numerically the
equations of motion for a system of N nonlinearly coupled oscillators with N ranging from 64 …

Quantum ergodicity and vibrational relaxation in isolated molecules

KSJ Nordholm, SA Rice - The Journal of Chemical Physics, 1974 - pubs.aip.org
Recent advances in classical ergodic theory have produced qualitative information about
the dynamics of anharmonic systems that is relevant to internal molecular dynamics and to …

On the integrability of the Toda lattice

J Ford, SD Stoddard, JS Turner - Progress of Theoretical …, 1973 - academic.oup.com
This paper presents a variety of computer generated evidence indicating that the Toda
lattice behaves remarkably like an integrable, nonlinear system, where here integrability …

Killing tensors and the separation of the Hamilton-Jacobi equation

NMJ Woodhouse - Communications in Mathematical Physics, 1975 - Springer
This paper investigates the relationship between Killing Tensors and separable systems for
the geodesic Hamilton-Jacobi equation in Riemannian and Lorentzian manifolds: locally, a …

Exponentially long times to equipartition in the thermodynamic limit

L Berchialla, A Giorgilli, S Paleari - Physics letters A, 2004 - Elsevier
We investigate with numerical methods the scaling of the relaxation time to equipartition in
the celebrated Fermi–Pasta–Ulam model. Our numerical results strongly suggest that the …

Numerical computations on a stochastic parameter related to the Kolmogorov entropy

M Casartelli, E Diana, L Galgani, A Scotti - Physical Review A, 1976 - APS
A stochastic parameter which appears to be related to the Kolmogorov entropy is computed
for a system of N particles in a line with the nearest-neighbor Lennard-Jones interaction. It is …