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We analyse the evolution of scalar and gauge fields during a second order phase transition using a Langevin equation approach. We show that topological defects formed during the phase transition are stable to thermal fluctuations. Our…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. P. Martin , A. C. Davis

Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

Statistical Mechanics · Physics 2017-03-29 Uwe C. Täuber

The ordering dynamics of the Higgs field is studied, using techniques inspired by the study of phase ordering in condensed matter physics, as a first step to understanding the evolution of cosmic structure through the formation of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Joao A. N. Filipe , Alan J. Bray

I consider several Langevin and Fokker-Planck classes of dynamics for scalar field theories in contact with a thermal bath at temperature T. These models have been applied recently in the numerical description of the dynamics of second…

High Energy Physics - Phenomenology · Physics 2009-10-31 Luis M. A. Bettencourt

First order phase transitions (FOPTs) are usually described by the nucleation and expansion of new phase bubbles in the old phase background. While the dynamics of new phase bubbles have been extensively studied, a comprehensive treatment…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-15 Philip Lu , Kiyoharu Kawana , Ke-Pan Xie

In this work we consider five different lattice models which exhibit continuous phase transitions into absorbing states. By measuring certain universal functions, which characterize the steady state as well as the dynamical scaling…

Statistical Mechanics · Physics 2009-11-11 S. Lubeck , R. D. Willmann

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

We use an optimized hopping parameter expansion (linear \delta expansion) for the free energy to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector in the continuum and on the…

High Energy Physics - Phenomenology · Physics 2017-08-23 D. Winder

We study quantum fluctuation driven first-order phase transitions of a two-species bosonic system in a three-dimensional optical lattice. Using effective potential method we find that the superfluid-Mott insulator phase transition of one…

Quantum Gases · Physics 2015-07-09 Boyang Liu , Jiangping Hu

We consider quantum and classical first-order transitions, at equilibrium and under out-of-equilibrium conditions, mainly focusing on quench and slow quasi-adiabatic protocols. For these phenomena, we review the finite-size scaling theory…

Statistical Mechanics · Physics 2025-07-01 Andrea Pelissetto , Ettore Vicari

We propose a general Langevin equation describing the universal properties of synchronization transitions in extended systems. By means of theoretical arguments and numerical simulations we show that the proposed equation exhibits,…

Statistical Mechanics · Physics 2009-11-10 Miguel A. Munoz , Romualdo Pastor-Satorras

We use an optimised hopping parameter expansion for the free energy (linear delta expansion) to study the phase transitions at finite temperature and finite charge density in a global U(1) scalar Higgs sector on the lattice at large lattice…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. S. Evans , H. F. Jones , D. Winder

A novel kind of irreversible phase transitions (IPT's) driven by an oscillatory input parameter is studied by means of computer simulations. Second order IPT's showing scale invariance in relevant dynamic critical properties are found to…

Statistical Mechanics · Physics 2009-10-31 Alfredo C. Lopez , Gustavo P. Saracco , Ezequiel V. Albano

The universal theory of order parameter fluctuations (delta scaling laws) is applied to a wide range of intermediate energy heavy-ion collision data obtained with INDRA. This systematic study confirms that the observed fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , R. Bougault , A. Chbihi , S. Hudan , A. Mignon

We revisit phase transitions in Twin Higgs (TH) models. We show that strong first-order phase transitions (FOPTs) can occur provided that appropriate source of $\mathbb{Z}_2$ symmetry breaking between the twin and Standard Model (SM)…

High Energy Physics - Phenomenology · Physics 2023-03-22 Marcin Badziak , Ignacy Nałęcz

When traversing a symmetry breaking second order phase transition at a finite rate, topological defects form whose number dependence on the quench rate is given by simple power laws. We propose a general approach for the derivation of such…

Statistical Mechanics · Physics 2016-03-02 G. Nikoghosyan , R. Nigmatullin , M. B. Plenio

We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same…

Statistical Mechanics · Physics 2011-03-24 Ole Peters , Michelle Girvan

Dynamical universality plays a fundamental role in understanding the scaling properties of critical dynamics, including absorbing phase transitions and physical aging. Although individual universality classes have been extensively studied,…

Statistical Mechanics · Physics 2025-03-10 Rong Li , Qirui Ding , Weicheng Cui

First-order phase transitions produce gravitational waves and primordial black holes. They always occur in field theories where symmetries are radiatively broken and masses are correspondingly generated. These theories predict a period of…

High Energy Physics - Phenomenology · Physics 2026-05-19 Alberto Salvio