Nonlinear chemical dynamics in low dimensions: An exactly soluble model

1993 ◽  
Vol 70 (5-6) ◽  
pp. 1195-1213 ◽  
Author(s):  
A. Provata ◽  
J. W. Turner ◽  
G. Nicolis
Keyword(s):  
Chemical Dynamics ◽  
Low Dimensions ◽  
Soluble Model ◽  
Exactly Soluble Model ◽  
Nonlinear Chemical Dynamics

An Introduction to Nonlinear Chemical Dynamics

1998 ◽  
Author(s):  
Irving R. Epstein ◽  
John A. Pojman
Keyword(s):  
Flow Reactor ◽  
Chemical Dynamics ◽  
Design Data ◽  
Chemical Oscillators ◽  
Starting Point ◽  
Hands On ◽  
Undergraduate Laboratory ◽  
History Of ◽  
Mechanistic Basis ◽  
Nonlinear Chemical Dynamics

Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.

Exactly soluble model of multi-species anyons and the braid group on a torus

1994 ◽  
Vol 419 (3) ◽  
pp. 529-552 ◽  
Author(s):  
Ikuo Ichinose ◽  
Toshiyuki Ohbayashi
Keyword(s):  
Braid Group ◽  
Soluble Model ◽  
Exactly Soluble Model

Study of Electron Correlation in Helium-Like Systems Using an Exactly Soluble Model

1962 ◽  
Vol 128 (6) ◽  
pp. 2687-2692 ◽  
Author(s):  
Neil R. Kestner ◽  
Oktay Sinanoḡlu
Keyword(s):  
Electron Correlation ◽  
Soluble Model ◽  
Exactly Soluble Model

Boson Expansions for an Exactly Soluble Model of Interacting Fermions with SU(3) Symmetry

1970 ◽  
Vol 11 (3) ◽  
pp. 975-985 ◽  
Author(s):  
Shou Yung Li ◽  
Abraham Klein ◽  
R. M. Dreizler
Keyword(s):  
Soluble Model ◽  
Exactly Soluble Model
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