# Editing Cole equation of state

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:<math>p = B \left[ \left( \frac{\rho}{\rho_0} \right)^\gamma -1 \right]</math> | :<math>p = B \left[ \left( \frac{\rho}{\rho_0} \right)^\gamma -1 \right]</math> | ||

β | In it, <math>\rho_0</math> is a reference density around which the density varies | + | In it, <math>\rho_0</math> is a reference density around which the density varies |

β | <math>\gamma</math> is the [[Heat capacity#Adiabatic index | adiabatic index]] | + | <math>\gamma</math> is the [[Heat capacity#Adiabatic index | adiabatic index]] and <math>B</math> is a pressure parameter. |

Usually, the equation is used to model a nearly incompressible system. In this case, | Usually, the equation is used to model a nearly incompressible system. In this case, | ||

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Therefore, if <math>B=100 \rho_0 v^2 / \gamma</math>, the relative density fluctuations | Therefore, if <math>B=100 \rho_0 v^2 / \gamma</math>, the relative density fluctuations | ||

β | will be about 0.01. | + | will be of about 0.01. |

If the fluctuations in the density are indeed small, the | If the fluctuations in the density are indeed small, the |