2017/07/05 by B. I. Lev, V. B. Tymchyshyn, Vitalii Tymchyshyn +5
Engineering · Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Elasticity and Wave Propagation #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1707.01520
8 pages, 6 figures
arxiv created 2017/07/05 · openalex publication_date 2017/07/05 · arxiv updated 2017/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A nonlinear model of the scalar field with a coupling between the field and its gradient is developed. It is shown, that such model is suitable for the description of phase transition accompanied by formation of spatial inhomogeneous distribution of the order parameter. The proposed model is analogous the mechanical nonlinear oscillator with the coordinate-dependent mass or velocity-dependent elastic module. Besides, for some value of energy the model under consideration possesses exact analytical solution. We assume that this model can related to the spinodal decomposition, quark confinement, or cosmological scenario. All predictions can be verified experimentally.