No . When a system is in equilibrium, its entropy reaches its maximum value and stops growing.
However, this only occurs when the system and its surroundings are in thermodynamic equilibrium. Physical equilibrium, thermal equilibrium, and chemical equilibrium are all parts of the thermodynamic equilibrium. As a result, the system is said to be in Dead state when it reaches thermodynamic equilibrium. Entropy decreases if the system is significantly diverted from its dead state for any cause. The system works diligently to increase its entropy in an effort to reach the dead state. The spontaneous process of reaching the dead state is more irreversible and the rate of rise in entropy is greater the further the system is from its dead state.
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