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- FN = − kBT ln ZNTo prepare for taking the thermodynamic limit, we divide both sides by V and employ the definition FN = − kBT ln ZN, resulting in max { − αN V − FN kBTV} ≤ lnΞ V ≤ ln(N ∗ + 1) V + max { − αN V − FN kBTV}.phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/S…
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In statistical mechanics, the thermodynamic limit or macroscopic limit, of a system is the limit for a large number N of particles (e.g., atoms or molecules) where the volume V is taken to grow in proportion with the number of particles. The thermodynamic limit is defined as the limit of a system with a large volume, with the … See more
The thermodynamic limit is essentially a consequence of the central limit theorem of probability theory. The internal energy of a gas of N molecules … See more
A thermodynamic limit does not exist in all cases. Usually, a model is taken to the thermodynamic limit by increasing the volume together … See more
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