Editing 1-dimensional hard rods
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'''1-dimensional hard rods''' (sometimes known as a ''Tonks | '''1-dimensional hard rods''' (sometimes known as a ''Tonks Gas'' <ref>[http://dx.doi.org/10.1103/PhysRev.50.955 Lewi Tonks "The Complete Equation of State of One, Two and Three-Dimensional Gases of Hard Elastic Spheres", Physical Review '''50''' pp. 955- (1936)]</ref>) consist of non-overlapping line segments of length <math>\sigma</math> who all occupy the same line which has length <math>L</math>. One could also think of this model as being a string of [[hard sphere model | hard spheres]] confined to 1 dimension (not to be confused with [[3-dimensional hard rods]]). The model is given by the [[intermolecular pair potential]]: | ||
: <math> \Phi_{12}(x_{i},x_{j})=\left\{ \begin{array}{lll} | : <math> \Phi_{12}(x_{i},x_{j})=\left\{ \begin{array}{lll} |