Thermodynamic limit: Difference between revisions
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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== | ==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/10.1119/1.16103 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/10.1119/1.1621028 Daniel F. Styer "What good is the thermodynamic limit?", American Journal of Physics '''72''' pp. 25-29 (2004)] | ||
Latest revision as of 12:42, 29 July 2008
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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N \rightarrow \infty} , and calculations using the various ensembles converge.
References[edit]
- H. Moraal "On the existence of the thermodynamic limit for classical systems with nonspherical potentials", Physica A 79 pp. 75-82 (1975)
- A. Compagner "Thermodynamics as the continuum limit of statistical mechanics", American Journal of Physics 57 pp. 106-117 (1989)
- Daniel F. Styer "What good is the thermodynamic limit?", American Journal of Physics 72 pp. 25-29 (2004)
- Daniel F. Styer "Erratum: "What good is the thermodynamic limit?"", American Journal of Physics 72 p. 1110 (2004)