Calculating n-Point Charge Correlations in Evolving Systems

Understand

In dynamic systems, charge susceptibilities and local charge correlations change with time.

• These changes are accompanied by non-local correlations which spread diffusively with time and are constrained by local charge conservation.
• Assuming the local features of the correlation, which for a gas would be the correlation of charges within the same particle, are equilibrated, a diagrammatic formalism is presented for calculating the evolution of the associated non-local correlations.
• These provide correlations of $n$ density operators at different positions for arbitrary $n$.