On the other hand, the number of randomly moving particles inside a system can be considered to be representative of the amount of information that is needed to define the exact state of a system given its macroscopic state.Īccording to the above discussions, the thermodynamic concept of entropy connects uncontrolled energy inside a system to disorder, randomness and unavailable information. The Boltzmann constant converts this number to the total uncontrolled kinetic energy of the random particles. In other words, ln Ω is proportional to the number of random particles inside the system, which is a measure of randomness. ![]() Under the equiprobability assumption, it is obvious that Ω is an exponential function of the number of particles that can randomly move within the system. ![]() In Equation ( 1), S is referred to as the entropy of the system, and k B is called the Boltzmann constant.
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