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We use a free-energy minimization approach to describe the secular and dynamical instabilities as well as the bifurcations along equilibrium sequences of rotating, self-gravitating fluid systems. Our approach is fully nonlinear and stems…

Astrophysics · Physics 2009-10-28 D. M. Christodoulou , D. Kazanas , I. Shlosman , J. E. Tohline

We identify the possible ground states for a mixture of two superfluid condensates (one neutral, the other electrically charged) using a phenomenological Ginzburg-Landau model. While this framework is applicable to any interacting…

Superconductivity · Physics 2021-03-01 Toby S. Wood , Vanessa Graber , William G. Newton

We review how phase-field models contributed to the understanding of various aspects of crystal nucleation including homogeneous and heterogeneous processes, and their role in microstructure evolution. We recall results obtained both by the…

A phase eld approach is developed to model wetting and heterogeneous crystal nucleation of an undercooled pure liquid in contact with a sharp wall. We discuss various choices for the boundary condition at the wall and determine the…

Materials Science · Physics 2009-11-11 László Gránásy , Tamás Pusztai , David Saylor , James A. Warren

Nucleation is an activated process in which the system has to overcome a free energy barrier in order for a first-order phase transition between the metastable and the stable phases to take place. In the liquid-to-solid transition the…

Soft Condensed Matter · Physics 2016-11-28 John Russo , Hajime Tanaka

The properties of excited nuclear matter and the quest for a phase transition which is expected to exist in this system are the subject of intensive investigations. High energy nuclear collisions between finite nuclei which lead to matter…

Nuclear Theory · Physics 2009-11-06 J. Richert , P. Wagner

The study of critical phenomena and phase transitions is an important part of modern condensed matter physics. In this regard, the phenomenological Landau theory has been extraordinarily useful. Hereby we present an alternative theoretical…

Statistical Mechanics · Physics 2014-02-24 Yi Wang , Long-Qing Chen , Zi-Kui Liu

In this paper we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of temperature and density. The phase transition is described by means of an order parameter,…

Mathematical Physics · Physics 2015-06-12 Alessia Berti , Valeria Berti

The kinetics of nucleation of a core-shell composite nucleus that consists of a core of stable final phase surrounded by a wetting layer of intermediate metastable phase is studied using the kinetic theory of binary nucleation not only in…

Materials Science · Physics 2015-06-11 Masao Iwamatsu

We consider a Bose gas with an attractive interaction in a symmetric double well potential. In the Hartree approximation, the ground state solution spontaneously breaks the symmetry of the trapping potential above certain value of the…

Other Condensed Matter · Physics 2009-11-13 P. Ziń , J. Chwedeńczuk , B. Oleś , K. Sacha , M. Trippenbach

The dynamics of dislocations can be formulated in terms of the evolution of continuous variables representing dislocation densities ('continuum dislocation dynamics'). We show for various variants of this approach that the resulting models…

Materials Science · Physics 2024-10-23 Yufan Zhang , Ronghai Wu , Michael Zaiser

We study the time evolution of thermodynamic observables that characterise the dissipative nature of thermal relaxation after an instantaneous temperature quench. Combining tools from stochastic thermodynamics and large-deviation theory, we…

Statistical Mechanics · Physics 2023-03-06 Jan Meibohm , Massimiliano Esposito

In the framework of the Ginzburg-Landau equation, the temperature dependence of the upper critical field of small ring-like superconductors is studied. At equilibrium small parts of the phase diagram show paramagnetism for width / radius…

Superconductivity · Physics 2009-11-07 C. Meyers

The nucleation process under different external conditions is considered. It is shown that the duration of this process can be connected with the microscopic corrections to the free energy of the critical embryo. Connection between…

Statistical Mechanics · Physics 2008-08-25 Victor Kurasov

Within the framework of Ginzburg-Landau theory we study the rich variety of interfacial phase transitions in twinning-plane superconductors. We show that the phase behaviour strongly depends on the transparency of the twinning plane for…

Superconductivity · Physics 2009-11-07 F. Clarysse , J. O. Indekeu

A continuum model for the phase separation and coarsening, observed in electrostatically driven granular media, is formulated in terms of a Ginzburg-Landau equation subject to conservation of the total number of grains. In the regime of…

Soft Condensed Matter · Physics 2016-08-31 I. S. Aranson , B. Meerson , P. V. Sasorov , V. M. Vinokur

An analytical model for the evolution of the boundary of the new phase in transformations ruled by nucleation and growth is presented. Both homogeneous and heterogeneous nucleation have been considered: The former includes transformations…

Materials Science · Physics 2020-08-26 Massimo Tomellini

Materials with nanoscale phase separation are considered. A system representing a heterophase mixture of ferromagnetic and paramagnetic phases is studied. After averaging over phase configurations, a renormalized Hamiltonian is derived…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 V. I. Yukalov , E. P. Yukalova

Several field theoretical approaches to the superconducting phase transition are discussed. Emphasis is given to theories of scaling and renormalization group in the context of the Ginzburg-Landau theory and its variants. Also discussed is…

Superconductivity · Physics 2016-11-23 Flavio S. Nogueira , Hagen Kleinert

We report a numerical study of the rate of crystal nucleation in a binary suspension of oppositely charged colloids. Two different crystal structures compete in the thermodynamic conditions under study. We find that the crystal phase that…

Soft Condensed Matter · Physics 2011-11-10 Eduardo Sanz , Chantal Valeriani , Daan Frenkel , Marjolein Dijkstra
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