What's the difference between Stat. Physics and Stat. Mech?

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Statistical Mechanics (StatMech) specifically focuses on the statistical methods applied to mechanical systems, emphasizing probability and statistics within that context. In contrast, Statistical Physics (StatPhys) encompasses a broader application of statistical methods across all areas of physics. The distinction lies in the scope, with StatMech being a subset of StatPhys. While StatMech deals with mechanics, StatPhys addresses a wider range of physical phenomena. Understanding this difference clarifies the relationship between the two fields.
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Pretty much as said; what is the practical distinction between Statistical Physics and Statistical Mechanics? The Wikipedia page for Statistical Physics has Statistical Mechanics as a subsection, but virtually all other subsections just talk about prominent figures, institutions, and developments. Is there any difference between the two or are they effectively synonymous?
 
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Strictly, StatMech refers to the statistical approach to the field of physics known as "mechanics" (i.e. probability and stats for mechanical systems) while StatPhys is the statistical approach to all fields in physics. So you are looking for the distinction between "mechanics" and "all of physics".
 
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I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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