Energy System: Minimizing & Stabilizing

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A system minimizes energy and stabilizes to maintain stable equilibrium, which is essential for its persistence. Systems in stable equilibrium remain there due to the inherent properties that define stability. Conversely, systems in non-equilibrium or unstable states tend to rapidly move away from those conditions. The relationship between stable equilibrium and minimal energy is rooted in the fundamental definitions of energy. Understanding these concepts is crucial for studying the behavior of various systems.
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I was just wondering why a system wants to mininmize its energy? Why a system wants to be stabalized at all?
 
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A system doesn't WANT to do either. It doesn't WANT anything.

Systems we can look at tend to be in stable equilibrium for a very good reason: they stay in stable equilibrium- that's the definition of stable equilibrium! A system in a non-equilibrium or unstable equilibrium state will move away from it very rapidly. Again, that's the definition of "non-equilibrium" and "unstable equilibrium". Those systems that "stand still" for us to study are the ones that are in stable equilibrium.

The fact that stable equilibrium corresponds to minimal energy is due pretty much to the fact that energy is defined so as to make that so.
 

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