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Diffstat (limited to 'source/know/concept/thermodynamic-potential/index.md')
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1 files changed, 8 insertions, 2 deletions
diff --git a/source/know/concept/thermodynamic-potential/index.md b/source/know/concept/thermodynamic-potential/index.md index ece1551..b3bedda 100644 --- a/source/know/concept/thermodynamic-potential/index.md +++ b/source/know/concept/thermodynamic-potential/index.md @@ -15,8 +15,8 @@ Such functions are either energies (hence *potential*) or entropies. Which potential (of many) decides the equilibrium states for a given system? That depends which variables are assumed to already be in automatic equilibrium. Such variables are known as the **natural variables** of that potential. -For example, if a system can freely exchange heat with its surroundings, -and is consequently assumed to be at the same temperature $$T = T_{\mathrm{sur}}$$, +For example, if a system can freely exchange heat with its environment, +and is consequently assumed to be at the same temperature $$T = T_{\mathrm{env}}$$, then $$T$$ must be a natural variable. The link from natural variables to potentials @@ -32,6 +32,7 @@ Mathematically, the potentials are related to each other by [Legendre transformation](/know/concept/legendre-transform/). + ## Internal energy The **internal energy** $$U$$ represents @@ -76,6 +77,7 @@ to help keep track of which function depends on which variables. They are meaningless; these are normal partial derivatives. + ## Enthalpy The **enthalpy** $$H$$ of a system, in units of energy, @@ -115,6 +117,7 @@ $$\begin{aligned} \end{aligned}$$ + ## Helmholtz free energy The **Helmholtz free energy** $$F$$ represents @@ -154,6 +157,7 @@ $$\begin{aligned} \end{aligned}$$ + ## Gibbs free energy The **Gibbs free energy** $$G$$ represents @@ -192,6 +196,7 @@ $$\begin{aligned} \end{aligned}$$ + ## Landau potential The **Landau potential** or **grand potential** $$\Omega$$, in units of energy, @@ -230,6 +235,7 @@ $$\begin{aligned} \end{aligned}$$ + ## Entropy The **entropy** $$S$$, in units of energy over temperature, |