# Editing Uhlenbeck-Ford model

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The excess [[Helmholtz energy function | Helmholtz free-energy]] expression for the UFM, which can be obtained integrating the equation of state with respect to volume <ref name="JCP"></ref>, is given by | The excess [[Helmholtz energy function | Helmholtz free-energy]] expression for the UFM, which can be obtained integrating the equation of state with respect to volume <ref name="JCP"></ref>, is given by | ||

− | :<math>\frac{\beta F^{\rm (exc)}_{\rm UF}(x,p)}{N} =\sum_{n=1}^{\infty} \frac{\tilde{B}_{n+1}(p)}{n} \,x^n</math> | + | :<math>\frac{\beta F^{\rm (exc)}_{\rm UF}(x,p)}{N} =\sum_{n=1}^{\infty} \frac{\tilde{B}_{n+1}(p)}{n} \,x^n</math> |

where | where | ||

− | * <math>F^{\rm (exc)}_{\rm UF}(x,p)</math> is the | + | * <math>F^{\rm (exc)}_{\rm UF}(x,p)</math> is the Helmholtz free energy; |

− | * <math>N</math> is the number of particles | + | * <math>N</math> is the number of particles; |

== Virial coefficients == | == Virial coefficients == |