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We consider the quantum creation of a closed universe within the Euclidean path-integral formalism. An analytical expression for the tunneling probability is derived, including both the exponential suppression and the exact Gaussian…

General Relativity and Quantum Cosmology · Physics 2026-05-18 L. Salasnich

We generalize the standard computation of homogeneous nucleation theory at zero temperature to a scenario in which the bubble shape is determined self-consistently with its quantum fluctuations. Studying two scalar models in 1+1 dimensions,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Y. Bergner , Luis M. A. Bettencourt

The periodic bounce configurations responsible for quantum tunneling are obtained explicitly and are extended to the finite energy case for minisuperspace models of the Universe. As a common feature of the tunneling models at finite energy…

High Energy Physics - Theory · Physics 2016-08-15 J. -Q. Liang , H. J. W. Müller-Kirsten , Y. -B. Zhang , A. V. Shurgaia , S. -P. Kou , D. K. Park

Parallel and series nucleation are the basic elements of the complex nucleation process when two saddle points exist on the free-energy landscape. It is pointed out that the nucleation rates follow formulas similar to those of parallel and…

Materials Science · Physics 2015-06-03 Masao Iwamatsu

Strongly first-order phase transitions, i.e., those with a large order parameter, are characterized by a considerable supercooling and high velocities of phase transition fronts. A very strong phase transition may have important…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-26 Ariel Megevand , Santiago Ramirez

We calculate the bubble nucleation rate in a fourth-order gravity theory whose action contains an $R^2$ term, under the thin-wall approximation, by two different methods. First the bounce solution is found for the Euclidean version of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yue Hu

New scaling behavior has been both predicted and observed in the spontaneous production of fluxons in quenched $Nb-Al/Al_{ox}/Nb$ annular Josephson tunnel junctions as a function of the quench time, $\tau_{Q}$. The probability $f_{1}$ to…

Superconductivity · Physics 2012-03-23 R. Monaco , J. Mygind , M. Aaroe , R. J. Rivers , V. P. Koshelets

The important, and often dominant, role of tunneling in low temperature kinetics has resulted in numerous theoretical explorations into the methodology for predicting it. Nevertheless, there are still key aspects of the derivations that are…

Chemical Physics · Physics 2021-06-02 Yuri Georgievskii , Stephen J. Klippenstein

Over the last number of years several simulation methods have been introduced to study rare events such as nucleation. In this paper we examine the crystal nucleation rate of hard spheres using three such numerical techniques: molecular…

Soft Condensed Matter · Physics 2012-08-17 Laura Filion , Michiel Hermes , Ran Ni , Marjolein Dijkstra

The Coleman formula for vacuum decay and bubble nucleation has been used to estimate the tunneling rate in models of axion monodromy in recent literature. However, several of Coleman's original assumptions do not hold for such models. Here…

High Energy Physics - Theory · Physics 2016-11-03 Jon Brown , William Cottrell , Gary Shiu , Pablo Soler

We used molecular dynamics simulations and the path sampling technique known as forward flux sampling to study homogeneous nucleation of NaCl crystals from supersaturated aqueous solutions at 298 K and 1 bar. Nucleation rates were obtained…

Chemical Physics · Physics 2018-02-14 Hao Jiang , Amir Haji-Akbari , Pablo G. Debenedetti , Athanassios Z. Panagiotopoulos

We study real-time nucleation in perturbative high-temperature quantum field theories. Specifically, we incorporate the evolution of thermally fluctuating plasma driven out of equilibrium by nucleation. This plasma forms the thermal bath…

High Energy Physics - Phenomenology · Physics 2025-06-27 Joonas Hirvonen

The short time behavior of nucleation probabilities is studied by representing nucleation as diffusion in a potential well with escape over a barrier. If initially all growing nuclei start at the bottom of the well, the first nucleation…

Statistical Mechanics · Physics 2007-05-23 Henk van Beijeren

We provide a field-theoretical description of thermal nucleation in a one-dimensional ferromagnetic superfluid, a quantum-gas analogue of false-vacuum decay. The rate at which ground-state domains nucleate follows an Arrhenius law, with an…

Quantum Gases · Physics 2026-01-13 Enrique Rozas Garcia , Johannes Hofmann

We present numerical results on bubble profiles, nucleation rates and time evolution for a weakly first-order quark-hadron phase transition in different expansion scenarios. We confirm the standard picture of a cosmological first-order…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. W. Mintz , A. Bessa , E. S. Fraga

We investigate rarely explored details of supercooled cosmological first-order phase transitions at the electroweak scale, which may lead to strong gravitational wave signals or explain the cosmic baryon asymmetry. The nucleation…

High Energy Physics - Phenomenology · Physics 2026-02-26 Peter Athron , Csaba Balázs , Lachlan Morris

In many systems in condensed matter physics and quantum field theory, first order phase transitions are initiated by the nucleation of bubbles of the stable phase. In homogeneous nucleation theory the nucleation rate $\Gamma$ can be written…

Statistical Mechanics · Physics 2009-11-07 Gernot Münster , Sergei B. Rutkevich

The nucleation of bubbles in first-order phase transitions is traditionally characterised by the critical bubble: defined as the saddle-point solution of the Euclidean action that separates collapsing from expanding field configurations.…

High Energy Physics - Phenomenology · Physics 2026-03-05 Tomasz P. Dutka

The Euclidean action is calculated in the thin-wall approximation for a first-order vacuum phase transition in which the bubble appears symmetrically around either a global monopole or a gauge cosmic string. The bubble is assumed to be much…

General Relativity and Quantum Cosmology · Physics 2009-10-28 William A. Hiscock

At first order phase transitions the transition proceeds through droplet nucleation and growth. We discuss a lattice method for calculating the droplet nucleation rate, including the complete dynamical factors. The method is especially…

High Energy Physics - Lattice · Physics 2010-02-03 Guy D. Moore , Kari Rummukainen , Anders Tranberg