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Synergetics pp 147-189 | Cite as

Chance and Necessity

Reality Needs Both
  • Hermann Haken
Part of the Springer Series in Synergetics book series (SSSYN, volume 1)

Abstract

Consider a football dribbled ahead over the grass by a football (soccer) player. Its velocity v changes due to two causes. The grass continuously slows the ball down by a friction force whereas the football player randomly increases the velocity of the ball by his kicks. The equation of motion of the football is precisely given by Newton’s law: Mass · acceleration = force, i.e.,
$$ m \cdot \mathop{v}\limits^{ \bullet } = F $$
(6.1)

Keywords

Correlation Function Stationary Solution Friction Force Order Phase Transition Langevin Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

Langevin Equations: An Example For general approaches see

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Reservoirs and Random Forces

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The Fokker-Planck Equation Same references as for Section 6.1

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Phase Transition Analogy

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References to Systems Far from Thermal Equilibrium (and Nonphysical Systems)

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Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • Hermann Haken
    • 1
  1. 1.Institut für Theoretische PhysikUniversität StuttgartStuttgart 80Fed. Rep. of Germany

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