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... collision. Collisions form a class of problems in physics that involve two or more particles interacting in such a way that their states of motion are changed. We shall simplify our description by defining another kinematic quantity: linear momentum. 1 Isaac Newton called momentum an object’s “quant ...
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Gibbs paradox

In statistical mechanics, a semi-classical derivation of the entropy that does not take into account the indistinguishability of particles, yields an expression for the entropy which is not extensive (is not proportional to the amount of substance in question). This leads to a paradox known as the Gibbs paradox, after Josiah Willard Gibbs. The paradox allows for the entropy of closed systems to decrease, violating the second law of thermodynamics. A related paradox is the ""mixing paradox"". If one takes the perspective that the definition of entropy must be changed so as to ignore particle permutation, the paradox is averted.
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