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Updated: Nov 27, 2025

Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
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On the van der Waals Gas, Contact Geometry and the Toda Chain

Diego Alarcón1, P Fernández de Córdoba1, J M Isidro1

  • 1Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

A Toda-chain symmetry unifies the van der Waals and ideal gas models. This fundamental symmetry is linked to contact geometry, revealing deeper connections in statistical mechanics.

Keywords:
Toda chaincontact geometryvan der Waals gas

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