Liouville equation
differential equation for the evolution of distribution functions
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Liouville equation
Summary
Liouville equation is a partial differential equation[1].
Key Facts
- Liouville equation's instance of is recorded as partial differential equation[2].
- Joseph Liouville is named after Liouville equation[3].
- Liouville equation's represents is recorded as evolution[4].
- Liouville equation's defining formula is recorded as \frac{\mathrm{d}\rho}{\mathrm{d}t} = \frac{\partial\rho}{\partial t} + \sum_{i = 1}^{n} \left(\frac{\partial\rho}{\partial q_i} \dot q_i + \frac{\partial\rho}{\partial p_i} \dot p_i \right) = 0[5].
- Liouville equation's studied by is recorded as statistical mechanics[6].
- Liouville equation's Google Knowledge Graph ID is recorded as /g/11bc5cxfx6[7].
- Liouville equation's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- Liouville equation's in defining formula is recorded as \rho[9].
- Liouville equation's in defining formula is recorded as t[10].
- Liouville equation's in defining formula is recorded as q[11].
- Liouville equation's in defining formula is recorded as p[12].