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The theory of perfect fluids is reconsidered from the point of view of a covariant Lagrangian theory. It has been shown that the Euler-Lagrange equations for a perfect fluid could be found in spaces with affine connections and metrics from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in…

High Energy Physics - Lattice · Physics 2008-11-26 Hildegard Meyer-Ortmanns

There is a long-standing question as to whether and to what extent it is possible to describe nonequilibrium systems in stationary states in terms of global thermodynamic functions. The positive answers have been obtained only for…

Statistical Mechanics · Physics 2022-11-30 Robert Hołyst , Karol Makuch , Anna Maciołek , Paweł J. Żuk

We study various dynamical aspects of systems possessing a first order phase transition in their phase diagram. We isolate three qualitatively distinct types of theories depending on the structure of instabilities and the nature of the low…

High Energy Physics - Theory · Physics 2019-11-05 Loredana Bellantuono , Romuald A. Janik , Jakub Jankowski , Hesam Soltanpanahi

It is known that any nondegenerate Lagrangian containing time derivative terms higher than first order suffers from the Ostrogradsky instability, pathological excitation of positive and negative energy degrees of freedom. We show that,…

Classical Physics · Physics 2015-04-16 Hayato Motohashi , Teruaki Suyama

Nuclear thermodynamics studies evidenced the existence of a first order phase transition, namely of the liquid-gas type, without paying attention to the isospin degree of freedom. On the other hand, only few results with the introduction of…

Nuclear Experiment · Physics 2017-04-26 B. Borderie

In a previous contribution, Phys. Rev. Lett 107, 230601 (2011), we have proposed a method to treat first order phase transitions at low temperatures. It describes arbitrary order parameter through an analytical expression $W$, which depends…

Statistical Mechanics · Physics 2015-06-12 Carlos. E. Fiore , M. G. E. da Luz

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

Analysis of PDEs · Mathematics 2025-02-05 Tomáš Roubíček

We study the finite temperature properties of the extended Bose-Hubbard model on a cubic lattice. This model exhibits the so-called supersolid state. To start with, we investigate ordering processes by quantum Monte Carlo simulations, and…

Statistical Mechanics · Physics 2009-11-13 Keisuke Yamamoto , Synge Todo , Seiji Miyashita

In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order…

High Energy Physics - Phenomenology · Physics 2016-03-03 Aritra Bandyopadhyay , Najmul Haque , Munshi G. Mustafa , Michael Strickland , Nan Su

The basic Landau model for the incommensurate-commensurate transition to the uniform or dimerized uniaxial ordering is critically reexamined. The previous analyses identified only sinusoidal and homogeneous solutions as thermodynamically…

Condensed Matter · Physics 2009-10-22 V. Dananic , A. Bjelis , Zagreb , Croatia

We study first order phase transitions that occur when the temperature of the system increases and we identify the conditions that lead to super-heating, a phase where the system can heat up arbitrarily. First order phase transitions with…

High Energy Physics - Phenomenology · Physics 2026-03-24 Giulio Barni , Andrea Tesi

Massless scalar electrodynamics is studied at high temperature and zero chemical potential. I derive the free energy to order $\lambda^2$, $\lambda e^2$ and $e^4$ by effective field theory methods. The first step consists of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. O. Andersen

One of the main objectives of science is the recognition of a general pattern in a particular phenomenon in some particular regime. In this work, this is achieved with the analytical expression for the optimal protocol that minimizes the…

Statistical Mechanics · Physics 2025-10-03 Pierre Nazé

The transition between the two phases of 4D Euclidean Dynamical Triangulation [1] was long believed to be of second order until in 1996 first order behavior was found for sufficiently large systems [5,9]. However, one may wonder if this…

High Energy Physics - Lattice · Physics 2021-11-18 Tobias Rindlisbacher , Philippe de Forcrand

The electroweak phase transition is investigated by means of the perturbatively calculated high temperature effective potential. An analytic result to order $g^4,\lambda^2$ is presented for the Abelian Higgs model, the SU(2)-Higgs model and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hebecker

We consider geometric variational problems for a functional defined on a curve in three-dimensional space. The functional is assumed to be written in a form invariant under the group of Euclidean motions. We present the Euler-Lagrange…

Classical Physics · Physics 2009-06-16 E. L. Starostin , G. H. M. van der Heijden

Detailed studies of the thermodynamic properties of selected binary Lennard-Jones clusters of the type X_{13-n}Y_n (where n=1,2,3) are presented. The total energy, heat capacity and first derivative of the heat capacity as a function of…

Statistical Mechanics · Physics 2009-11-10 Dubravko Sabo , Cristian Predescu , J. D. Doll , David L. Freeman

The study of the O(N) model at nonzero temperature is presented applying the auxiliary field method, which allows to obtain a continuous transformation between the linear and the nonlinear version of the model. In case of explicitly broken…

High Energy Physics - Phenomenology · Physics 2011-08-11 Elina Seel

We construct a novel approach, based on thermodynamic geometry, to characterize first-order phase transitions from a microscopic perspective, through the scalar curvature in the equilibrium thermodynamic state space. Our method resolves key…

Statistical Mechanics · Physics 2013-05-30 George Ruppeiner , Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta