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The crumpled-to-flat phase transition that occurs in D-dimensional polymerized phantom membranes embedded in a d-dimensional space is investigated nonperturbatively using a field expansion up to order eight in powers of the order parameter.…

Statistical Mechanics · Physics 2014-04-11 K. Essafi , J. -P. Kownacki , D. Mouhanna

We consider polymers made of magnetic monomers (Ising or Heisenberg-like) in a good solvent. These polymers are modeled as self-avoiding walks on a cubic lattice, and the ferromagnetic interaction between the spins carried by the monomers…

Statistical Mechanics · Physics 2009-10-31 T. Garel , H. Orland , E. Orlandini

We propose a new criterion to analyse the order of phase transitions within a finite size scaling analysis. It refers to response functions like order parameter susceptibilities and the specific heat and states different monotony behaviour…

High Energy Physics - Lattice · Physics 2015-06-25 H. Meyer-Ortmanns , T. Reisz

Making use of both the stochastic approach to the tunneling phenomenon and the threshold statistics, we offer a simple argument to show that critical bubbles may be correlated in first-order phase transitions and biased compared to the…

High Energy Physics - Phenomenology · Physics 2022-01-05 V. De Luca , G. Franciolini , A. Riotto

We show that the study of critical properties of the Blume-Capel model at two dimensions can be deduced from Monte Carlo simulations with good accuracy even for small system sizes when one analyses the behaviour of the zeros of the…

Statistical Mechanics · Physics 2024-09-10 Leïla Moueddene , Nikolaos G Fytas , Yurij Holovatch , Ralph Kenna , Bertrand Berche

The phase behavior of a cross-linked polymer blend made of two incompatible species, $A$ and $B$, of different chemical nature is analyzed. Besides a homogeneous phase, this system also exhibits two microphases and a phase of total…

Condensed Matter · Physics 2007-05-23 Edilson Vargas , Marcia C. Barbosa

We investigate the thermodynamic phase transition taking place in the Blume-Capel model in presence of quenched disorder in three dimensions (3D). In particular, performing Exchange Montecarlo simulations, we study the behavior of the order…

Disordered Systems and Neural Networks · Physics 2015-05-19 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

The well known scaling laws relating critical exponents in a second order phase transition have been generalized to the case of an arbitrarily higher order phase transition. In a higher order transition, such as one suggested for the…

Superconductivity · Physics 2009-11-07 P. Kumar , A. Saxena

Long linear polymers in dilute solutions are known to undergo a collapse transition from a random coil (expand itself) to a compact ball (fold itself up) when the temperature is lowered, or the solvent quality deteriorates. A natural model…

Probability · Mathematics 2015-06-12 Gia Bao Nguyen , Nicolas Petrelis

We analyze the nucleation of supersolid order out of the superfluid ground state of bosons on the triangular lattice. While the stability of supersolidity against phase separation in this system is by now well established for…

Quantum Gases · Physics 2012-01-20 Lars Bonnes , Stefan Wessel

We provide an introductory account of a tricritical phase diagram, in the setting of a mean-field random walk model of a polymer density transition, and clarify the nature of the density transition in this context. We consider a…

Mathematical Physics · Physics 2020-11-25 Roland Bauerschmidt , Gordon Slade

We develop a new quantitative molecular theory of liquid-phase dipolar polymer gels. We model monomer units of the polymer network as a couple of charged sites separated by a fluctuating distance. For the first time, within the random phase…

Soft Condensed Matter · Physics 2021-03-09 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

The intermediate 3D XY scaling theory of superconductivity at zero and nonzero magnetic fields is developed, based only upon the dimensional hypothesis $B\sim (Length)^{-2}$. Universal as well as nonuniversal aspects of the theory are…

Superconductivity · Physics 2015-06-25 Mark Friesen , Paul Muzikar

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $\Delta$ with the goal of determining the universality class of transitions along the second-order part of the…

Statistical Mechanics · Physics 2023-08-28 A. R. S. Macedo , A. Vasilopoulos , M. Akritidis , J. A. Plascak , N. G. Fytas , M. Weigel

The tricritical point, which separates first and second order phase transitions in three-dimensional superconductors, is studied in the four-dimensional Coleman-Weinberg model, and the similarities as well as the differences with respect to…

High Energy Physics - Phenomenology · Physics 2013-06-28 Miguel C. N. Fiolhais , Hagen Kleinert

Within the proper-time renormalization group approach, the chiral phase diagram of a two-flavor quark-meson model is studied. In the chiral limit, the location of the tricritical point which is linked to a Gaussian fixed point, is…

Nuclear Theory · Physics 2009-11-10 Bernd-Jochen Schaefer , Jochen Wambach

Quantum phase transitions in Mott insulators do not fit easily into the Landau-Ginzburg-Wilson paradigm. A recently proposed alternative to it is the so called deconfined quantum criticality scenario, providing a new paradigm for quantum…

Strongly Correlated Electrons · Physics 2007-05-23 S. Kragset , E. Smorgrav , J. Hove , F. S. Nogueira , A. Sudbo

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first…

Statistical Mechanics · Physics 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

We have studied the transition in shape of two dimensional polyampholytes using Monte Carlo simulation. We observe that polymers with randomly charged monomers get into a globular shape at lower temperatures, provided that their total…

Condensed Matter · Physics 2007-05-23 M. R. Ejtehadi , S. Rouhani

We investigate the scaling of the interfacial adsorption of the two-dimensional Blume-Capel model using Monte Carlo simulations. In particular, we study the finite-size scaling behavior of the interfacial adsorption of the pure model at…

Statistical Mechanics · Physics 2020-12-07 Nikolaos G. Fytas , Argyro Mainou , Panagiotis E. Theodorakis , Anastasios Malakis