The equation s = k_b ln ω represents the statistical definition of entropy, where 's' is the entropy, 'k_b' is Boltzmann's constant, and 'ω' (omega) is the number of accessible microstates of a system. This relationship highlights how the level of disorder or randomness in a system correlates with the number of ways the system can be arranged at a microscopic level. It emphasizes the connection between thermodynamics and statistical mechanics, revealing how macroscopic properties like entropy can be derived from microscopic behavior.
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