Fractal

Author: Zhang Jizhong
Publisher:
Publish Date: 2004-06-01
Features: This book focuses on the various spatiotemporal ordered states (or structures) spontaneously formed in naturally occurring non-equilibrium nonlinear complex systems. It introduces the fundamental concepts and research methods of fractal theory, which has rapidly developed over the past decade, and its applications in disciplines such as condensed matter physics, materials science, chemistry, biology, medicine, seismology, economics, and others. The book is divided into 10 chapters, including: Nonlinear Complex Systems and Nonlinear Thermodynamics; The Mathematical Foundations of Fractals; Classical Fractals and the Mandelbrot Set; Measuring Fractal Dimensions; Physical Mechanisms and Growth Models for Fractal Formation; Computer Simulation of Fractal Growth; Gas-Solid Phase Transitions and Fractals; Experimental Studies of Fractal Growth; Applications of Fractal Theory; and The Development of Fractal Theory. The book is innovative, vividly illustrated, and includes appropriate mathematical derivations and computer simulation programs. It serves as an introductory text for researchers in various disciplines interested in non-equilibrium nonlinear studies, as well as a textbook and reference for undergraduate and graduate students learning about fractal theory.