Residual entropy refers to the entropy that remains in a system at absolute zero temperature, indicating that the system can still have multiple ground states. This concept is closely related to the idea that not all systems reach a unique state of order as they cool, which contradicts the expectations set by the Third Law of Thermodynamics. Essentially, residual entropy highlights the limitations of classical thermodynamic behavior in certain materials, particularly those with complex structures or degeneracies.
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