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We introduce and study dynamical probes of band structure topology in the post-quench time-evolution from mixed initial states of quantum many-body systems. Our construction generalizes the notion of dynamical quantum phase transitions…

Quantum Gases · Physics 2017-11-29 M. Heyl , J. C. Budich

The liquid-gas phase transition and associated instability in two component systems are investigated using a mean field theory. The importance of the role of both the Coulomb force and symmetry energy terms are studied. The addition of the…

Nuclear Theory · Physics 2009-11-07 S. J. Lee , A. Z. Mekjian

Thermodynamical properties of nuclear matter undergoing multifragmentation are studied within a simplified version of the statistical model. An exact analytical solution has been found for the grand canonical ensemble. Excluded volume…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

We have observed the superfluid phase transition in a strongly interacting Fermi gas via high-precision measurements of the local compressibility, density and pressure down to near-zero entropy. Our data completely determine the universal…

Quantum Gases · Physics 2012-02-23 Mark J. H. Ku , Ariel T. Sommer , Lawrence W. Cheuk , Martin W. Zwierlein

This paper is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation of state and a modified Allen-Cahn equation. The global…

Analysis of PDEs · Mathematics 2018-10-02 Qiaolin He , Ming Mei , Xiaoding Shi , Xiaoping Wang

Using a minimal algebraic model for the thermodynamics of binary rod--polymer mixtures, we provide evidence for a quintuple phase equilibrium; an observation that seems to be at odds with the Gibbs phase rule for two-component systems. Our…

Soft Condensed Matter · Physics 2020-09-21 V. F. D. Peters , M. Vis , Á. González García , H. H. Wensink , R. Tuinier

This is a chapter for a book. The first paragraph of this chapter is as follows: "Ultracold quantum gases offer a wonderful playground for quantum many body physics, as experimental systems are widely controllable, both statically and…

Quantum Gases · Physics 2015-05-18 Lincoln D. Carr , Rina Kanamoto , Masahito Ueda

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

We prove that, for low-temperature systems considered in the Pirogov-Sinai theory, uniqueness in the class of translation-periodic Gibbs states implies global uniqueness, i.e. the absence of any non-periodic Gibbs state. The approach to…

Statistical Mechanics · Physics 2009-10-30 J. L. Lebowitz , A. E. Mazel

We study the structural and thermodynamic properties of a model of point particles interacting by means of a Gaussian pair potential first introduced by Stillinger [Stillinger F H 1976 J. Chem. Phys. 65, 3968]. By employing integral…

Soft Condensed Matter · Physics 2009-10-31 A. Lang , C. N. Likos , M. Watzlawek , H. Lowen

We prove existence of infinite volume $d$-dimensional Coulomb gases which are not number rigid for $d \geq 3$. This makes the Coulomb gas the Gibbs point process with the longest range pairwise interaction (i.e.\ with the smallest $s$ in…

Probability · Mathematics 2023-03-22 Eric Thoma

The Gibbs point processes (GPP) constitute a large class of point processes with interaction between the points. The interaction can be attractive, repulsive, depending on geometrical features whereas the null interaction is associated to…

Probability · Mathematics 2018-04-09 David Dereudre

A gas-liquid type of phase transition is found based on the particle dynamics on radius-$R$ circle in which the coordinate appears as the angle-variable of 1D XY-model. Due to the specific appearance of compact-space radius (volume) in the…

Statistical Mechanics · Physics 2019-12-06 Amir H. Fatollahi

In a finite temperature Thomas-Fermi framework, we calculate density distributions of hot nuclei enclosed in a freeze-out volume of few times the normal nuclear volume and then construct the caloric curve, with and without inclusion of…

Nuclear Theory · Physics 2009-10-30 J. N. De , S. K. Samaddar , S. Shlomo

We consider the canonical ensemble of a system of point particles on the sphere interacting via a logarithmic pair potential. In this setting, we study the associated Gibbs measure and partition function, and we derive explicit formulas…

Mathematical Physics · Physics 2025-10-31 Rolf Andreasson , Ludvig Svensson

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field…

Quantum Gases · Physics 2025-07-16 Wilhelm Zwerger

A two-components isospin lattice gas model has been employed to study the liquid-gas phase transition for asymmetric nuclear matter. An additional degree of freedom, namely, the asymmetry parameter alpha has been considered carefully for…

Nuclear Theory · Physics 2008-11-26 Wei Liang Qian , Ru-Keng Su

We study quantum phases and phase transitions in a one-dimensional interacting fermion system with a Lieb-Schultz-Mattis (LSM) type anomaly. Specifically, the inversion symmetry enforces any symmetry-preserving gapped ground state of the…

Strongly Correlated Electrons · Physics 2022-03-14 Wayne Zheng , D. N. Sheng , Yuan-Ming Lu

States of thermal equilibrium of an infinite system of interacting particles in a Euclidean space are studied. The particles bear 'unbounded' spins with a given symmetric a priori distribution. The interaction between the particles is…

Mathematical Physics · Physics 2015-05-12 Alexei Daletskii , Yuri Kondratiev , Yuri Kozitsky