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One possible way in which phase transitions in the early universe may have ocurred is via nucleation of bubbles of the new phase (true vacuum) in the old phase (false vacuum). The technique most widely used to compute the probability of…

High Energy Physics - Phenomenology · Physics 2009-10-28 Antonio Ferrera

In standard nucleation theory, the nucleation process is characterized by computing $\Delta\Omega(V)$, the reversible work required to form a cluster of volume $V$ of the stable phase inside the metastable mother phase. However, other…

Statistical Mechanics · Physics 2015-06-18 Santi Prestipino , Alessandro Laio , Erio Tosatti

We investigate quantum tunneling in the theory of a complex scalar field with a global $U(1)$ symmetry when the charge density of the initial configuration does not vanish. We discuss the possible final configurations and set up the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kimyeong Lee

The Kibble Zurek mechanism in a relativistic $\phi^{4}$ scalar field theory in $D = (1 + 1)$ is studied using uniform matrix product states. The equal time two point function in momentum space $G_{2}(k)$ is approximated as the system is…

Quantum Physics · Physics 2018-08-14 Edward Gillman , Arttu Rajantie

In this work we show that the standard method to obtain nucleation rate-predictions with the aid of atomistic Monte-Carlo simulations leads to nucleation rate predictions that deviate $3-5$ orders of magnitude from the recent brute-force…

Nuclear Theory · Physics 2015-09-30 Marco Schweizer , Leonard Sagis

In the standard procedure for calculating the decay rate of a metastable vacuum the solution of the classical Euclidean equation of motion of the background field is needed. On the other hand radiative corrections have to be taken into…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arnd Surig

The task of a first principles theoretical calculation of the rate of gas to liquid nucleation has remained largely incomplete despite the existence of reliable results from unbiased simulation studies at large supersaturation. Although the…

Soft Condensed Matter · Physics 2024-02-26 Subhajit Acharya , Biman Bagchi

The phenomenon of quantum nucleation is studied in a nanometer-scale antiferromagnet with biaxial symmetry in the presence of a magnetic field at an arbitrary angle. Within the instanton approach, we calculate the dependence of the rate of…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Rong Lu , Yi Zhou , Jia-Lin Zhu , Bing-Lin Gu

The tunneling decay rate per unit volume in Quantum Field Theory (QFT), at order $\hbar$, is given by $\Gamma/V = Ae^{-B}$, where $B$ is the Euclidean action evaluated at the so-called bounce, and $A$ is proportional to the determinant of a…

High Energy Physics - Theory · Physics 2025-12-16 G. Flores-Hidalgo

It has been argued by Zurek and Kibble that the likelihood of producing defects in a continuous phase transition depends in a characteristic way on the quench rate. In this paper we discuss our experiment for measuring the Zurek-Kibble…

Superconductivity · Physics 2007-05-23 R. Monaco , R. J. Rivers

The decay rates of quasistable states in quantum field theories are usually calculated using instanton methods. Standard derivations of these methods rely in a crucial way upon deformations and analytic continuations of the physical…

High Energy Physics - Theory · Physics 2016-12-07 Anders Andreassen , David Farhi , William Frost , Matthew D. Schwartz

This paper extends classical results by Langer and Kramers and combines them with modern methods from high-temperature field theory. Assuming Langevin dynamics, the end-product is an all-orders description of bubble-nucleation at high…

High Energy Physics - Phenomenology · Physics 2022-10-03 Andreas Ekstedt

A recent description of diffusion-limited nucleation based on fluctuating hydrodynamics that extends classical nucleation theory predicts a very non-classical two-step scenario whereby nucleation is most likely to occur in…

Soft Condensed Matter · Physics 2015-06-04 James F. Lutsko

First order phase transitions proceed via nucleation. The rate of nucleation varies exponentially with the free-energy barrier to nucleation, and so is highly sensitive to variations in this barrier. In practice, very few systems are…

Statistical Mechanics · Physics 2009-11-10 Richard P. Sear

The kinetics of nucleation of a core-shell composite nucleus that consists of a core of stable final phase surrounded by a wetting layer of intermediate metastable phase is studied using the kinetic theory of binary nucleation not only in…

Materials Science · Physics 2015-06-11 Masao Iwamatsu

Membrane nucleation, a higher dimensional analog of the Schwinger effect, is a useful toy model for vacuum decay. While a non-perturbative effect, the computation of nucleation rates has only been accomplished at weak coupling in the field…

High Energy Physics - Theory · Physics 2023-01-18 Maite Arcos , Willy Fischler , Juan F. Pedraza , Andrew Svesko

In this paper, we investigate the dynamics of the nucleating scalar field during the first-order phase transitions by incorporating one-loop corrections of classical fluctuations. We assume that a high-temperature expansion is valid\te…

High Energy Physics - Phenomenology · Physics 2025-03-07 Andrii Dashko , Andreas Ekstedt

The dynamics of bubbles nucleated during a first-order phase transition is controlled by the non-equilibrium fluctuations generated by the traveling domain wall. An accurate modelling of the out-of-equilibrium properties of the plasma is…

High Energy Physics - Phenomenology · Physics 2024-07-10 Andrea Guiggiani

The evaluation of nucleation rates from molecular dynamics trajectories is hampered by the slow nucleation time scale and impact of finite size effects. Here, we show that accurate nucleation rates can be obtained in a very general fashion…

Chemical Physics · Physics 2021-11-03 Kristof M. Bal

The nucleation rates derived for the condensation from a supersaturated vapor are examined both in the classical theory and in the modern coarse-grained field theory. By virtue of the scaling variable $\lambda_Z$ it is shown that the method…

Disordered Systems and Neural Networks · Physics 2009-10-31 Larissa V. Bravina , Eugene E. Zabrodin