Generalization of tropical geometry and amebas to the region of negative pressures: comparison with van der Waals gas

DOI10.1134/S0001434615090084zbMath1341.82069OpenAlexW2174313461MaRDI QIDQ276640

V. P. Maslov

Publication date: 4 May 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615090084

zbMATH Keywords

number of degrees of freedomFermi-Dirac distributionameba in tropical analysisnegative pressure

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Statistical mechanics of gases (82D05)

Related Items (7)

Probability distributions of partition theory in number theory arising in classical thermodynamics and economics ⋮ Thermodynamics and tropical mathematics. Definition of quasistatistical processes ⋮ The Zipf-Mandelbrot law: quantization and an application to the stock market ⋮ A survey on computational aspects of polynomial amoebas ⋮ New approach to classical thermodynamics ⋮ Large negative numbers in number theory, thermodynamics, information theory, and human thermodynamics ⋮ Bubbles in the negative pressure domain

Cites Work

• Case of less than two degrees of freedom, negative pressure, and the Fermi-Dirac distribution for a hard liquid
• Quasithermodynamic correction to the Stefan-Boltzmann law
• Undistinguishing statistics of objectively distinguishable objects: thermodynamics and superfluidity of classical gas
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