What is the definition of correlation and coupling?

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SUMMARY

Coupling refers to the interaction between particles in a system, particularly in contexts involving statistical mechanics, such as systems with millions of charged or magnetic particles. Correlation, on the other hand, can arise from symmetries within the system, independent of direct interactions. This distinction is crucial for understanding the behaviors of complex particle systems.

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lsloneil
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When dealing with system containing millions of particles( for example, charged particles or magnetic particles) with statistical mechanics, I may often see the description or explanation that the certain effect is due to the coupling or correlation of particles. So can anybody give me a specific definition of coupling and correlation? Does coupling or correlation simply mean the interaction between particles?

Thanks a lot!
 
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Coupling means interaction.
Correlation can occur because of symmetries without explicit interaction.
 

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