Dynamics of first-order phase transitions in the \(\phi^4- \phi^6\) model caused by the parametric instability of the metastable vacuum

DOI10.1016/S0167-2789(01)00210-XzbMath0980.82023OpenAlexW2021826766MaRDI QIDQ5940247

Arkadi G. Shagalov, Eugene M. Maslov

Publication date: 11 March 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00210-x

zbMATH Keywords

parametric resonancenonlinear Klein-Gordon equationbubble dynamicsfirst-order phase transitionsnon-dissipative systemsquasi-turbulent state

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (3)

Perturbation approach to the Hill equation with a slowly varying parameter with application to the inflationary cosmology ⋮ The singular Hill equation and generalized Lindemann-Stieltjes method ⋮ Instability of coherent states of a real scalar field

Cites Work

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• Synergetics. An introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry, and biology. 3rd rev. and enl. ed
• Solitary domain walls at first-order phase transitions with three-fold symmetry breaking: Statics and dynamics
• On the dynamics of scalar wave collapse

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