2. Articole

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Author: search.filters.author.Paladi, FlorentinSubject: search.filters.subject.Metastable state

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    EQUILIBRIUM STATES OF THERMODYNAMIC SYSTEMS IN A SMALL VICINITY OF THE EQUILIBRIUM VALUES OF PARAMETERS: BIFURCATION, STABILITY AND SENSITIVITY ANALYSES
    (Elsevier, 2019) Barsuk, Alexandr A.; Paladi, Florentin
    The dynamic behavior of thermodynamic systems described by a single order parameter and several control parameters is studied in a small neighborhood of ordinary and bifurcation equilibrium values of the system parameters. Using the general methods of investigating the branching (bifurcations) of solutions for nonlinear equations, we performed an exhaustive analysis of the order parameter dependences on the control parameters in a small vicinity of the equilibrium values of parameters, including the stability analysis of the equilibrium states, and the asymptotic behavior of the order parameter dependences on the control parameters (bifurcation diagrams). Relations between the infinitesimal quantities of order parameters and the control of dynamical systems are given, and the formulae for the order parameter sensitivity are presented depending on the variations in the control parameters. In addition, we carried out specific calculations with respect to the thermodynamic systems described by one order parameter and several control parameters in the Landau-type kinetic potential. The peculiarities of the anomalous generation and extinction phenomenon of crystal nuclei at very low temperatures in non-equilibrium supercooled liquids are also presented.
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    GENERALIZED PARAMETRIC MODEL FOR PHASE TRANSITIONS IN THE PRESENCE OF AN INTERMEDIATE METASTABLE STATE AND ITS APPLICATION
    (Elsevier, 2017) Barsuk, Alexandr A.; Paladi, Florentin
    The previously proposed model for the kinetics of first-order phase transitions (Barsuk et al., 2013) is generalized for r order and m control parameters. Bifurcation and stability analyses of the equilibrium states in thermodynamic systems described by the Landau-type kinetic potential with two order parameters is performed both in the absence of an external field, and in the presence of constant and periodic external fields. Kinetics of thermodynamic systems described by such potential in a small neighborhood of the equilibrium states is also studied. Mean transition time for lysozyme protein in dependence of control parameters is obtained based on the developed model. A detailed bifurcation analysis of the cubic equation solutions is given in Appendix.