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Solitary shock waves and adiabatic phase transition in lipid interfaces and nerves

2014/11/30 by Shamit Shrivastava, Kevin Heeyong Kang, Kevin H. Kang +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Adiabatic process #Amplitude #Atomic physics #Curvature #Excited state #Geometry #Lipid Membrane Structure and Behavior #Materials science #Mathematics #Mechanics #Optics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Shock wave #Spectroscopy Techniques in Biomedical and Chemical Research #Spectroscopy and Quantum Chemical Studies #Thermodynamics #physics.bio-ph

paper · pdf · doi:10.1103/physreve.91.012715

published as Phys. Rev. E 91, 012715 (2015)

arxiv created 2015/01/10 · openalex publication_date 2015/01/30 · arxiv updated 2015/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This study shows that the stability of solitary waves excited in a lipid monolayer near a phase transition requires positive curvature of the adiabats, a known necessary condition in shock compression science. It is further shown that the condition results in a threshold for excitation, saturation of the wave's amplitude, and the splitting of the wave at the phase boundaries. Splitting in particular confirms that a hydrated lipid interface can undergo condensation on adiabatic heating, thus showing retrograde behavior. Finally, using the theoretical insights and state dependence of conduction velocity in nerves, the curvature of the adiabatic state diagram is shown to be closely tied to the thermodynamic blockage of nerve pulse propagation.

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