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The two-dimensional one-component logarithmic Coulomb gas is mapped onto a non-hermitian fermionic field theory. At $\beta=2$, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for…

Statistical Mechanics · Physics 2015-06-25 M. B. Hastings

It has been proposed that multifragmentation can be related to the liquid-gas phase transition of nuclear matter. We study the statistical properties of finite nuclear matter near the phase transition with the help of a Lattice Gas Model…

Nuclear Theory · Physics 2008-01-30 Gregory Lehaut , Francesca Gullminelli , Olivier Lopez

Liquid-gas phase transition in statistical mechanics is a long-standing dilemma not yet well explained. In this paper we propose a novel approach to this dilemma, by: 1). Putting forth a new space homogeneity assumption. 2). Giving a new…

Statistical Mechanics · Physics 2007-05-23 Yuan-Xing Gui

The liquid-gas phase transition in finite nuclei is studied in a heated liquid-drop model where the drop is assumed to be in thermodynamic equilibrium with the vapour emanated from it. Changing pressure along the liquid-gas coexistence line…

Nuclear Theory · Physics 2007-05-23 Tapas Sil , S. K. Samaddar , J. N. De , S. Shlomo

The existence of phase transitions from liquid to gas phases in asymmetric nuclear matter (ANM) is related with the instability regions which are limited by the spinodals. In this work we investigate the instabilities in ANM described…

Nuclear Theory · Physics 2009-11-10 S. S. Avancini , L. Brito , D. P. Menezes , C. Providencia

The two dimensional Coulomb gas is the prototypical model of statistical mechanics displaying a special kind of phase transition, named after Berezinskii, Kosterlitz and Thouless. Physicists and mathematicians proposed several predictions…

Mathematical Physics · Physics 2013-11-27 Pierluigi Falco

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

We investigate the role of the Coulomb interaction on the liquid-gas phase transition of nuclear matter with three different values of proton fraction ($Y_p$=0.5,0.3 and 0.1), relevant for heavy-ion physics as well as various astrophysical…

Nuclear Theory · Physics 2017-06-14 Rana Nandi , Stefan Schramm

Relationship among Wigner crystal, charge order and Mott insulator is studied by the path-integral renormalization group method for two-dimensional lattices with long-range Coulomb interaction. In contrast to Hartree-Fock results, the solid…

Strongly Correlated Electrons · Physics 2007-05-23 Yohei Noda , Masatoshi Imada

We study the thermodynamics of asymmetric nuclear matter using a mean field approximation with a Skyrme effective interaction, in order to establish its phase diagram and more particularly the influence of isospin on the order of the…

Nuclear Theory · Physics 2007-05-23 C. Ducoin , P. Chomaz , F. Gulminelli

We first explore the liquid-gas mixed phase in a bulk calculation, where two phases coexist without the geometrical structures. In the case of symmetric nuclear matter, the system behaves congruently, and the Maxwell construction becomes…

Nuclear Theory · Physics 2015-06-04 Toshiki Maruyama , Toshitaka Tatsumi

A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs…

Mathematical Physics · Physics 2009-11-13 Alina Kargol , Yuri Kondratiev , Yuri Kozitsky

The effect of the Coulomb interaction on the phase diagram of finite nuclei is studied within the Canonical Thermodynamic Model. If Coulomb effects are artificially switched off, this model shows a phenomenology consistent with the…

Nuclear Theory · Physics 2008-12-18 G. Chaudhuri , S. Das Gupta , F. Gulminelli

The theory of first order density-driven phase transitions with frustration due to the long range Coulomb (LRC) interaction develop on paper I of this series is applied to the following physical systems: i) the low density electron gas ii)…

Strongly Correlated Electrons · Physics 2016-08-31 J. Lorenzana , C. Castellani , C. Di Castro

The liquid-gas phase transition in hot asymmetric nuclear matter is studied within density-dependent relativistic mean-field models where the density dependence is introduced according to the Brown-Rho scaling and constrained by available…

Nuclear Theory · Physics 2013-04-04 Guang-Hua Zhang , Wei-Zhou Jiang

A generalization of the Coulomb Gas model with modular SL(2, Z)-symmetry allows for a discrete infinity of phases which are characterized by the condensation of dyonic pseudoparticles and the breaking of parity and time reversal. Here we…

High Energy Physics - Theory · Physics 2009-10-31 G. Cristofano , D. Giuliano , G. Maiella

The properties of critical parameters and phase diagram structure of liquid-gas phase transition are investigated in thermal symmetric and asymmetric nuclear matter with the covariant density functional (CDF) theory. Although uncertainty…

Nuclear Theory · Physics 2019-11-20 Shen Yang , Bo Nan Zhang , Bao Yuan Sun

The dynamics of the domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity of the mean field theory is derived. It is shown that at…

Condensed Matter · Physics 2009-10-28 C. B. Muratov

We generalize the concept of quantum phase transitions, which is conventionally defined for a ground state and usually applied in the thermodynamic limit, to one for \emph{metastable states} in \emph{finite size systems}. In particular, we…

Other Condensed Matter · Physics 2010-05-11 R. Kanamoto , L. D. Carr , M. Ueda