Title Index

Complexity Science

An Introduction edited by Mark A Peletier (Eindhoven University of Technology, The Netherlands), Rutger A van Santen (Eindhoven University of Technology, The Netherlands) & Erik Steur (Delft University of Technology, The Netherlands)

This book on complexity science comprises methods and principles from a wide variety of disciplinary fields — from physics and chemistry to biology and the social sciences.

The first part of this book consists of introductory chapters highlighting the common basis and principles of the different complexity science approaches; the second provides in-depth discussions of illustrative applications. The fundamental topics include self-organization, pattern formation, forecasting uncertainties, synchronization and revolutionary change, self-correcting systems and complex networks.

Readership: A broad range of graduate students and researchers interested in complexity ranging from mathematical and physical to biology and social sciences.

978-981-3239-59-3 428pp US$138

Apr 2019 £120

High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion

Algorithm and Models for Anomalous Diffusion by Weihua Deng (Lanzhou University, China), Zhijiang Zhang (Lanzhou University, China)

The aim of this book is to extend the application field of ‘anomalous diffusion’, and describe the newly built models and the simulation techniques to the models. The book first introduces ‘anomalous diffusion’ from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and its applications, such as the Fokker-Planck equation, the Feymann-Kac equations and also the microscopic model — Langevin type equation. The second main part focuses on providing the high accuracy schemes for these kinds of models, and the corresponding convergence and stability analysis.

978-981-3142-20-6 296pp US$118

Feb 2019 £105

Fractional Dynamics in Comb-like Structures

by Alexander Iomin (Technion-Israel Institute of Technology, Israel), Vicenç Méndez (Universitat Autò noma de Barcelona, Spain) & Werner Horsthemke (Southern Methodist University, USA)

Random walks often provide the underlying mesoscopic mechanism for transport phenomena in physics, chemistry and biology. In particular, anomalous transport in branched structures has attracted considerable attention. The authors present a random walk description of the transport in specific comb geometries, ranging from simple random walks on comb structures, which provide a geometrical explanation of anomalous diffusion, to more complex phenomena, such as non-Markovian continuous-time random walks. The simplicity of comb models allows us to perform a rigorous analysis and describe various kinetic processes in medical physics and biophysics, chemistry of polymers, semiconductors, and many other interdisciplinary applications.

978-981-3273-43-6 248pp US$98

Oct 2018 £85

Peking University-World Scientific Advanced Physics Series - Vol 4

Applied Symbolic Dynamics and Chaos (2nd Edition)

by Bailin Hao (Fudan Unversity, China), Weimou Zheng (Chinese Academy of Sciences, China)

Symbolic dynamics is a coarse-grained description of dynamics. It has been a longstudied chapter of the mathematical theory of dynamical systems, but its abstract formulation has kept many practitioners of physical sciences and engineering from appreciating its simplicity, beauty, and power. At the same time, symbolic dynamics provides almost the only rigorous way to understand global systematics of periodic and, especially, chaotic motion in dynamical systems. This book is an attempt at partially filling up the existing gap in literatures by emphasizing the applied aspects of symbolic dynamics without mathematical rigor.

Readership: Researchers and students interested in chaotic dynamics.

978-981-3236-42-4 520pp US$168

Jun 2018 £148

Molecular Vibrations

Oct 2018 £85

An Algebraic and Nonlinear Approach by Guozhen Wu (Tsinghua University, China)

This book focuses on the main idea that highlyexcited molecular vibration is a nonlinear, manybody and semiclassical system. Therefore, many ideas and techniques in nonlinear fields such as chaos, resonance, Lyapunov exponent, etc. can be incorporated into this study. Together with the Lie algebraic coset algorithm, readers are able to approach the topics in a simple arithmetic and realistic way, in contrast to the traditional solving of Schrödinger equation. Covering the author’s research in over two decades, this book bridges the gaps between molecular vibration and nonlinear sciences.

Readership: Postgrads and researchers in nonlinear science and analysis.

978-981-3270-69-5 248pp US$98

CLASSIC TEXTBOOKS THERMODYNAMICS: PRINCIPLES AND APPLICATIONS

TOSUN İSMAIL (MIDDLE EAST TECHNICAL UNIVERSITY, TURKEY) 9789814696937

INTRODUCTION TO STATISTICAL MECHANICS

BY WALECKA JOHN DIRK (COLLEGE OF WILLIAM AND MARY, USA) 9789814366205

STATISTICAL MECHANICS MADE SIMPLE (SECOND EDITION)

MATTIS DANIEL C (UNIVERSITY OF UTAH, USA), SWENDSEN ROBERT (CARNEGIE MELLON UNIVERSITY, USA) 9789812779083

EQUILIBRIUM STATISTICAL PHYSICS (THIRD EDITION)

PLISCHKE MICHAEL (SIMON FRASER UNIVERSITY, CANADA), BERGERSEN BIRGER (UNIVERSITY OF BRITISH COLUMBIA, CANADA) 9789812560483

COMPLEXITY AND CRITICALITY

CHRISTENSEN KIM (IMPERIAL COLLEGE LONDON, UK), MOLONEY NICHOLAS R (IMPERIAL COLLEGE LONDON, UK) 9781860945045

STATISTICAL MECHANICS OF MEMBRANES AND SURFACES (2ND EDITION)

NELSON D ET AL (HARVARD UNIVERSITY, USA), 9789812387608

STATISTICAL PHYSICS: AN INTRODUCTORY COURSE

AMIT DANIEL J (UNIVERSITA DI ROMA “LA SAPIENZA” & THE HEBREW UNIVERSITY), VERBIN YOSEF (THE OPEN UNIVERSITY OF ISRAEL) 9789810231927