In thermodynamics Entropy is a measure of disorder in the system. This term is closely related to the heat. The change of Entropy is related to the reversible process and loosely equals to the change of heat in the reversible process by the temperature.
The Entropy is firstly introduce by the scientist Lazare Carnot in his 1803 paper Fundamental Principles of Equilibrium and Movement. It seems from his paper that in any natural process there exists an inherent tendency towards the dissipation of useful energy.
This entropy has an enormous effect to define the arrow of time. As the time pass the total entropy of system and surrounding is ever increasing. This defines arrow of time.
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