Does chaos theory contend with the second law of thermodynamics?

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SUMMARY

The discussion clarifies the relationship between chaos theory and the second law of thermodynamics. The second law states that closed systems inevitably progress from order to disorder, while chaos theory suggests that patterns can emerge from chaotic systems, provided there is an external energy source. This distinction highlights that dissipative systems require energy input to maintain order, contrasting with Hamiltonian systems where energy is conserved but does not lead to self-organization.

PREREQUISITES
  • Understanding of the second law of thermodynamics
  • Familiarity with chaos theory concepts
  • Knowledge of dissipative systems and their energy requirements
  • Basic principles of Hamiltonian mechanics
NEXT STEPS
  • Research the implications of dissipative systems in thermodynamics
  • Explore chaos theory applications in real-world systems
  • Study Hamiltonian mechanics and its relevance to energy conservation
  • Investigate the role of external energy sources in maintaining system order
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Physicists, engineers, and students studying thermodynamics and chaos theory, as well as anyone interested in the dynamics of complex systems.

mitcho
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Of course, the second law of thermodynamics implies that all closed systems will go from a state of state of order to disorder. Chaos theory offers the possibility of systems developing patterns and order from seemingly disordered or chaotic systems. Do these theories contradict or is there something that I do not understand?
 
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In short, you miss energy.

For dissipative systems you need an energy source in order for the system state not to dissipate and this energy flows in from outside the system, that is, the system is not closed.

For hamiltonian systems the system energy is conserved and the system may be closed, but there is not real self-organizing going on as in the dissipative case.
 

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