Book

Self-Organization in Nonequilibrium Systems (with Gregoire Nicolis)

by Ilya Prigogine

Summary

This book argues that irreversible processes and energy flow through open systems can spontaneously generate ordered structures, a phenomenon Prigogine and Nicolis term "dissipative structures." The central thesis is that nonequilibrium conditions, far from being sources of disorder, can act as engines of self-organization, producing complex patterns like chemical oscillations, biological morphogenesis, and even social organization. The authors develop a mathematical framework using nonlinear thermodynamics and stability analysis to show how systems driven away from equilibrium can undergo bifurcations, leading to new, stable states with higher order. Key ideas include the role of fluctuations in triggering transitions, the concept of "order through fluctuations," and the classification of instabilities. A reader takes away a rigorous understanding of how physical, chemical, and biological systems can spontaneously evolve toward complexity, challenging the classical view that equilibrium is the sole attractor of natural processes.

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Key concepts

  • Dissipative structuresOrdered states that emerge and are maintained by the continuous dissipation of energy and matter in open systems far from equilibrium.
  • BifurcationA critical point at which a system’s behavior qualitatively changes, branching into multiple possible stable states as a control parameter (e.g., energy input) crosses a threshold.
  • Fluctuation-driven instabilitySmall random perturbations that, near a bifurcation point, can be amplified to trigger a transition to a new macroscopic order.
  • Entropy productionThe rate at which a system generates entropy, which in nonequilibrium systems can be minimized or structured to sustain organized patterns.
  • Nonlinear thermodynamicsThe study of systems where fluxes and forces are not linearly related, enabling feedback loops and multiple steady states.
  • Symmetry breakingThe process by which a homogeneous system spontaneously develops spatial or temporal patterns, reducing its initial symmetry.