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Complex interactions leading to phase transitions continue to hold a due interest in the scientific community. We charactersize a phase transition in a coupled oscillators model where interactions are not local in nature. At a first order…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Ayushi suman , Sarika Jalan

Quantum phase transitions occur when quantum fluctuation destroys order at zero temperature. With an increase in temperature, normally the thermal fluctuation wipes out any signs of this transition. Here we identify a physical quantity that…

Statistical Mechanics · Physics 2022-06-17 Protyush Nandi , Sirshendu Bhattacharyya , Subinay Dasgupta

We consider a system of $N$ disordered mean-field interacting diffusions within spatial constraints: each particle $\theta_i$ is attached to one site $x_i$ of a periodic lattice and the interaction between particles $\theta_i$ and…

Probability · Mathematics 2020-01-16 Eric Luçon , Wilhelm Stannat

The quantum phase transitions in the one-dimensional asymmetric Hubbard model are investigated with the bosonization approach. The conditions for the phase transition from density wave to phase separation, the correlation functions and…

Strongly Correlated Electrons · Physics 2009-11-13 Z. G. Wang , Y. G. Chen , S. J. Gu

Nuclear matter at finite temperature and barion density exhibits several phase transitions that could happen at the early stages of the Universe evolution and could be realized in heavy-ion or hadron-hadron collisions. Microscopic…

High Energy Physics - Phenomenology · Physics 2015-02-26 V. I. Yukalov , E. P. Yukalova

In this paper we consider models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Bethe lattice (Cayley tree) of an arbitrary order. These models depend on parameter $\theta$. We describe all of Gibbs measures…

Mathematical Physics · Physics 2017-03-28 Yu. Kh. Eshkabilov , G. I. Botirov , F. H. Haydarov

We analyze the phase diffusion, quantum fluctuations and their spectral features of an one-dimensional Bose-Josephson junction (BJJ) coupled to a bosonic heat bath. We show the dependence of the phase diffusion coefficient on the on-site…

Atomic Physics · Physics 2023-04-04 Abhik Kumar Saha , Deb Shankar Ray , Bimalendu Deb

We proposed and theoretically studied a model of two separated spins coupled to a common bosonic bath. In our SU(2)-symmetric model, the phase transition point and the stable fixed point representing the nonclassical phase can be…

Strongly Correlated Electrons · Physics 2023-05-10 Xingdong Luo

We analyze the phase diagram of a quantum mean spherical model in terms of the temperature $T$, a quantum parameter $g$, and the ratio $p=-J_{2}/J_{1}$, where $J_{1}>0$ refers to ferromagnetic interactions between first-neighbor sites along…

Statistical Mechanics · Physics 2012-10-25 P. F. Bienzobaz , S. R. Salinas

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

We investigate a phase separation instability that occurs in a system of nearly elastically colliding hard spheres driven by a thermal wall. If the aspect ratio of the confining box exceeds a threshold value, granular hydrostatics predict…

Soft Condensed Matter · Physics 2013-05-29 Baruch Meerson , Thorsten Poeschel , Pavel V. Sasorov , Thomas Schwager

We investigate non-equilibrium phase coexistence associated with a first-order phase transition by numerically studying a one-dimensional Hamiltonian-Potts model with fractional spatial derivatives. The fractional derivative is introduced…

Statistical Mechanics · Physics 2026-02-04 Hitomi Endo , Michikazu Kobayashi

We consider near-critical two-dimensional statistical systems with boundary conditions inducing phase separation on the strip. By exploiting low-energy properties of two-dimensional field theories, we compute arbitrary $n$-point correlation…

High Energy Physics - Theory · Physics 2021-12-01 Alessio Squarcini

We study an ideal-gas-like model where the particles exchange energy stochastically, through energy conserving scattering processes, which take place if and only if at least one of the two particles has energy below a certain energy…

Statistical Mechanics · Physics 2015-05-27 Asim Ghosh , Urna Basu , Anirban Chakraborti , Bikas K. Chakrabarti

The quark meson (linear sigma) model with linearized fluctuations displays at a critical end point the onset of a curve of first-order phase transitions (FOPTs) located at non-zero chemical potentials and temperatures below a certain…

High Energy Physics - Phenomenology · Physics 2017-02-01 Falk Wunderlich , Burkhard Kampfer

I review some numerical ways to determine the parameters of systems close to a first order phase transition point: energy and specific heat of the coexisting phases and interface tension. Numerical examples are given for the 2-d $q$ states…

High Energy Physics - Lattice · Physics 2016-08-31 A. Billoire

We present a unified perspective on symmetry protected topological (SPT) phases in one dimension and address the open question of what characterizes their phase transitions. In the first part of this work we use symmetry as a guide to map…

Strongly Correlated Electrons · Physics 2017-10-17 Ruben Verresen , Roderich Moessner , Frank Pollmann

We derive the phase diagram of the one-dimensional three-state Potts model with an additional mean-field interaction in the canonical ensemble. The free energy is obtained by mapping the model onto the spin-$1$ Blume-Emery-Griffiths model…

Statistical Mechanics · Physics 2026-02-24 Alessandro Campa , Vahan Hovhannisyan , Stefano Ruffo , Andrea Trombettoni

Quantum phase transitions are sudden changes in the ground-state wavefunction of a many-body system that can occur as a control parameter such as a concentration or a field strength is varied. They are driven purely by the competition…

Strongly Correlated Electrons · Physics 2017-09-21 Jun Jing , Mike Guidry , Lian-Ao Wu

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets after a temperature quench. The transition is characterized by a sudden switch in the…

Statistical Mechanics · Physics 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm
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