Disequilibrium and Self-Organisation

1. Front Matter

   Pages i-ix

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2. Self-Organization and Information Theory

   • Karl-Erik Eriksson

   Pages 1-10

3. The Mathematics Needed for Self-Organisation

   • C. W. Kilmister

   Pages 11-17

4. Entropy and Order

   • Peter T. Landsberg

   Pages 19-21

5. Pattern Formation for a One Dimensional Evolution Equation Based on Thom’s River Basin Model.

   • Michiel Hazewinkel, Johan F. Kaashoek, Bart Leynse

   Pages 23-46

6. On the Modelling of Vehicular Traffic Flow

   • Alfred E. Beylich

   Pages 47-63

7. Alternative Exploitation of Dissipation Inequality Demonstrated for Hyperbolic Heat Conduction

   • W. Muschik

   Pages 65-74

8. A New Approach to Thermodynamics of Irreversible Processes by Means of Lagrange-Formalism

   • K.-H. Anthony

   Pages 75-92

9. A Boundary-Layer Theory for the Dynamics and Thermodynamics of Phase-Interfaces

   • Thorsten Alts

   Pages 93-127

10. Large Scale Magnetic Fields in Fluids — An Example of a Dissipative Structure

    • Konrad Bajer

    Pages 129-140

11. Facing Some Problems with Entropy

    • C. Blöss

    Pages 141-153

12. On the Spontaneous Emission from Two-Level Atoms in a Damped Cavity

    • J. Seke

    Pages 155-163

13. Polynucleotides — A Class of Self-Organizing Biomolecules

    • Peter Schuster

    Pages 165-168

14. Stages of Emerging Life — Five Principles of Early Organization

    • M. Eigen, P. Schuster

    Pages 169-183

15. The Physical Matrix for Self-Organisation

    • R. K. Mishra

    Pages 185-195

16. Spontaneously Broken Symmetries and Dissipative Structures

    • E. Del Giudice, S. Doglia, M. Milani, G. Vitiello

    Pages 197-205

17. On the Coherence of Ultraweak Photonemission from Living Tissues

    • Fritz-Albert Popp

    Pages 207-230

18. Evolution: Natural Selection or Self-Organization?

    • M. W. Ho, P. T. Saunders

    Pages 231-242

19. Thermodynamics and Complex Systems

    • P. T. Saunders, M. W. Ho

    Pages 243-253

20. The Transition from Town to City: Metropolitan Behaviour in the 19th Century

    • Rainer E. Zimmermann

    Pages 255-284

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chif1ese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non­ trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

• Information
• complex systems
• entropy
• information theory
• model
• modeling
• thermodynamics

• King’s College, University of London, England

  C. W. Kilmister

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