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We show that the presence and the location of first order phase transitions in a thermodynamic system can be deduced by the study of the topology of the potential energy function, V(q), without introducing any thermodynamic measure. In…

Statistical Mechanics · Physics 2009-11-07 L. Angelani , L. Casetti , M. Pettini , G. Ruocco , F. Zamponi

Native membranes of biological cells display melting transitions of their lipids at a temperature of 10-20 degrees below body temperature. Such transitions can be observed in various bacterial cells, in nerves, in cancer cells, but also in…

Biological Physics · Physics 2020-08-10 Thomas Heimburg

The finite temperature one-loop effective potential for a scalar field defined on an ultrastatic spacetime, whose spatial part is a compact hyperbolic manifold, is studied. Different analytic expressions, especially valuable at low and high…

High Energy Physics - Theory · Physics 2011-08-17 Guido Cognola , Klaus Kirsten , Luciano Vanzo , Sergio Zerbini

Geometric phase of an open quantum system that is interacting with a thermal environment (bath) is studied through some simple examples. The system is considered to be a simple spin-half particle which is weakly coupled to the bath. It is…

Quantum Physics · Physics 2009-11-11 A. T. Rezakhani , P. Zanardi

The q-state Potts model on a diamond chain has mathematical significance in analyzing phase transitions and critical behaviors in diverse fields, including statistical physics, condensed matter physics, and materials science. By focusing on…

Statistical Mechanics · Physics 2023-10-30 Yury Panov , Onofre Rojas

We discuss recent progress (and controversies) in the theory of finite temperature phase transitions. This includes the structure of the effective potential at a finite temperature, the infrared problem in quantum statistics of gauge…

High Energy Physics - Phenomenology · Physics 2019-08-17 M. Dine , R. Leigh , P. Huet , A. Linde , D. Linde

(abridged) In this paper, we present the issues we consider as essential as far as the statistical mechanics of finite systems is concerned. In particular, we emphasis our present understanding of phase transitions in the framework of…

Statistical Mechanics · Physics 2012-02-20 P. Chomaz , F. Gulminelli

In an extended Falicov-Kimball model, an excitonic insulator phase can be stabilised at zero temperature. With increasing temperature, the excitonic order parameter (interaction-induced hybridisation on-site, characterised by the absolute…

Strongly Correlated Electrons · Physics 2018-05-01 D. I. Golosov

We study a three matrix model with global SO(3) symmetry containing at most quartic powers of the matrices. We find an exotic line of discontinuous transitions with a jump in the entropy, characteristic of a 1st order transition, yet with…

High Energy Physics - Theory · Physics 2008-11-26 Rodrigo Delgadillo-Blando , Denjoe O'Connor , Badis Ydri

Many thermodynamic instabilities in one dimension (e.g. DNA thermal denaturation, wetting of interfaces) can be described in terms of simple models involving harmonic coupling between nearest neighbors and an asymmetric on-site potential…

Statistical Mechanics · Physics 2015-06-24 Thierry Dauxois , Nikos Theodorakopoulos , Michel Peyrard

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

Optimization and Control · Mathematics 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

Several useful thermodynamic relations are derived for metal-insulator transitions, as generalizations of the Clausius-Clapeyron and Eherenfest theorems. These relations hold in any spatial dimensions and at any temperatures. First, they…

Strongly Correlated Electrons · Physics 2007-05-23 Shinji Watanabe , Masatoshi Imada

Tackling the low-temperature fate of supercooled liquids is challenging due to the immense timescales involved, which prevent equilibration and lead to the operational glass transition. Relating glassy behaviour to an underlying,…

Statistical Mechanics · Physics 2017-08-16 Francesco Turci , C. Patrick Royall , Thomas Speck

We consider a Mott transition of the Hubbard model in infinite dimensions. The dynamical mean- field theory is employed in combination with a continuous-time quantum Monte Carlo (CTQMC) method for an accurate description at low…

Strongly Correlated Electrons · Physics 2014-05-20 Aaram J. Kim , M. Y. Choi , Gun Sang Jeon

The presence of nonmagnetic impurities in a 2D ``bad metal'' depresses the superconducting Berezinskii-Kosterlitz-Thouless transition temperature, while leaving the pairing energy scale unchanged. Thus the region of the pseudogap…

Superconductivity · Physics 2009-10-31 Vadim M. Loktev , Rachel M. Quick , Sergei G. Sharapov

We review the main results and ideas showing that quantum correlations at finite temperatures (T), in particular quantum discord, are useful tools in characterizing quantum phase transitions that only occur, in principle, at the…

Quantum Physics · Physics 2012-12-24 T. Werlang , G. A. P. Ribeiro , Gustavo Rigolin

We study symmetry restoration at finite temperature in the standard model during the electroweak phase transition in the presence of a weak magnetic field. We compute the finite temperature effective potential up to the contribution of ring…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jorge Navarro , Angel Sanchez , Maria Elena Tejeda-Yeomans , Alejandro Ayala , Gabriella Piccinelli

Due to embedded systems` stringent design constraints, much prior work focused on optimizing energy consumption and/or performance. Since embedded systems typically have fewer cooling options, rising temperature, and thus temperature…

Hardware Architecture · Computer Science 2016-02-16 Tosiron Adegbija , Ann Gordon-Ross

The equilibrium properties of a minimal tiling model are investigated. The model has extensive ground state entropy, with each ground state having a quasiperiodic sequence of rows. It is found that the transition from the quasiperiodic…

Statistical Mechanics · Physics 2013-03-27 Nikolai Nikola , Daniel Hexner , Dov Levine

According to the reparametrization invariance of the microcanonical ensemble, the only microcanonically relevant phase transitions are those involving an ergodicity breaking in the thermodynamic limit: the zero-order phase transitions and…

Statistical Mechanics · Physics 2007-05-23 L. Velazquez , F. Guzman