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The '''thermodynamic limit''' is reached as the number of particles (atoms or molecules) in a system  approaches infinity. The thermodynamic behavior of a system is asymptotically approximated by the results of [[statistical mechanics]] as <math>N \rightarrow \infty</math>, and calculations using the various ensembles converge.
The '''thermodynamic limit''' is reached as the number of particles (atoms or molecules) in a system  approaches infinity. The thermodynamic behavior of a system is asymptotically approximated by the results of [[statistical mechanics]] as <math>N \rightarrow \infty</math>, and calculations using the various ensembles converge.
==References==
#[http://dx.doi.org/10.1016/0378-4371(75)90089-8  H. Moraal "On the existence of the thermodynamic limit for classical systems with nonspherical potentials", Physica A '''79''' pp. 75-82  (1975)]
#[http://dx.doi.org/10.1119/1.16103  A. Compagner "Thermodynamics as the continuum limit of statistical mechanics",  American Journal of Physics '''57''' pp. 106-117 (1989)]
#[http://dx.doi.org/10.1119/1.1621028 Daniel F. Styer "What good is the thermodynamic limit?", American Journal of Physics '''72''' pp. 25-29 (2004)]
#[http://dx.doi.org/10.1119/1.1703547 Daniel F. Styer  "Erratum: "What good is the thermodynamic limit?"",  American Journal of Physics '''72''' p. 1110 (2004)]
[[category: classical thermodynamics]]
[[category: classical thermodynamics]]
[[category: statistical mechanics]]
[[category: statistical mechanics]]
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