2010/12/01 by В. Л. Кулинский, Vladimir L Kulinskii, N. P. Malomuzh +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Canonical ensemble #Classical mechanics #Covariant Hamiltonian field theory #Critical point (mathematics) #Entropy (arrow of time) #Hamiltonian (control theory) #Hamiltonian system #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.1016/j.molliq.2010.11.013
published as Journal of Molecular Liquids 158 166-169 (2011) · 15 pages
arxiv created 2010/12/01 · openalex publication_date 2010/12/14 · arxiv updated 2013/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose new canonical form of the fluctuational Hamiltonian which takes into account the fact that in the vicinity of the critical point there are two fluctuating fields. They are the field of the number density and the entropy. The proposed canonical form is based on the D5 catastrophe. In contrast to the standard approach of Landau-Ginzburg Hamiltonian which is based on A3 catastrophe the canonical form proposed for the fluctuational Hamiltonian naturally includes the asymmetric coupling between the fields.