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Lesson 04
Stage 5

Lesson 04

Phase Waves

A change applied to one part of a connected system does not instantly affect every other part. Instead, the change travels through the relationships between neighbouring systems.

Click a node in the chain below to disturb it. Watch how the change propagates outwards to its neighbours — a phase wave, built from local interactions alone.

Learning objectives

  • See that a disturbance travels through neighbouring relationships.
  • Observe how coupling strength changes propagation speed.
  • Watch damping reduce motion over time.
  • Compare fixed, free and ring boundaries.
  • Recognise that phase can travel without every system changing at once.

Click any node to send a phase disturbance along the chain.

Energy

0%

The disturbance becomes more spread out as it travels.

Wave speed

Fast

60

Live explanation

Click any node in the chain to send a disturbance through the neighbouring systems.

What to notice

  • Disturbances travel through neighbouring relationships.
  • Coupling controls how quickly information spreads.
  • Damping gradually reduces motion.
  • Boundaries affect wave behaviour.
  • Phase can propagate without every system changing simultaneously.

A note on this lesson

This lesson uses a simplified deterministic model of a chain of coupled phase systems. It illustrates general wave behaviour that emerges from local interactions.

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