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Full Description
This volume contains selected papers of Dr Morikazu Toda. The papers are arranged in chronological order of publishing dates. Among Dr Toda's many contributions, his works on liquids and nonlinear lattice dynamics should be mentioned. The one-dimensional lattice where nearest neighboring particles interact through an exponential potential is called the Toda lattice which is a miracle and indeed a jewel in theoretical physics. The papers in this volume can be grouped into five subjects: statistical mechanics, theory of liquids and solutions, lattice dynamics, Toda lattice and soliton theory and its applications.
Contents
On the relation between fermions and bosons; notes on fermi and bose statistics; some properties of the pair distribution function; vibration of chain with nonlinear interaction; wave propagation in anharmonic lattices; the criterion for the existence of a gap in the optical band of disordered mixed crystal; an evidence for the existence of Kirkwood-Alder transition; the exact n-soliton solution of the Korteweg-de Vries equation; a soliton and two solitons in a exponential lattice and related equations; problems in nonlinear dynamics; experiment on soliton-impurity interaction in the Toda lattice by using nonlinear circuit; the classical specific heat of the exponential lattice; and others.
