If you have more than one particle, or define states as being further locational subdivisions of the box, the entropy is larger because the number of states is greater. What is the probability that a certain number, or all of the particles, will be found in one section versus the other when the particles are randomly allocated to different places within the box? If you only have one particle, then that system of one particle can subsist in two states, one side of the box versus the other. As an example, consider a box that is divided into two sections. This stems from Rudolf Clausius' 1862 assertion that any thermodynamic process always "admits to being reduced to the alteration in some way or another of the arrangement of the constituent parts of the working body" and that internal work associated with these alterations is quantified energetically by a measure of "entropy" change, according to the following differential expression: ∫ δ Q T ≥ 0, which relates entropy S to the number of possible states W in which a system can be found. In thermodynamics, entropy is often associated with the amount of order or disorder in a thermodynamic system. Boltzmann's molecules (1896) shown at a "rest position" in a solid
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