The Onsager equation for corpora

TL;DR

This paper extends the Onsager equation framework to complex corpora with generalized excluded volume interactions, analyzing phase space reduction and providing detailed examples including interacting 2-rods.

Contribution

It introduces a generalized Onsager equation for complex corpora, encompassing articulated and interacting particles, with a focus on phase space reduction in high interaction regimes.

Findings

Formalism describes both articulated and interacting N-rods

Phase space dimension reduction demonstrated in high interaction limit

Detailed example provided for interacting 2-rods

Abstract

We consider extensions of excluded volume interactions for complex corpora that generalize simple rod-like particles. The Onsager equation can be defined for quite general configuration spaces, and the dimension reduction of the phase space in the limit of highly intense interaction can be shown. The formalism describes both freely articulated and interacting N-rods and the example of interacting 2-rods is given in detail.