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Updated: Jul 11, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems
1Optique Nonlinéaire Théorique, Université Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 231, Boulevard du Triomphe, B-1050 Bruxelles, Belgium.
Abstract:
We derive asymptotically an order parameter equation in the limit where nascent bistability and long-wavelength modulation instabilities coalesce. This equation is a variant of the Swift-Hohenberg equation that generally contains nonvariational terms of the form psinabla(2)psi and /nablapsi/(2). We briefly review some of the properties already derived for this equation and derive it on three examples taken from chemical, biological, and optical contexts. Finally, we derive the equation on a general class of partial differential systems.
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