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Scalar field theory with an asymmetric potential is studied at zero temperature and high-temperature for phi^4 theory with both phi and phi^3 symmetry breaking. The equations of motion are solved numerically to obtain O(4) symmetric and…

High Energy Physics - Theory · Physics 2007-05-23 Hatem Widyan , A. Mukherjee , N. Panchapakesan , R. P. Saxena

Consider the steady Boltzmann equation with slab symmetry for a monatomic, hard sphere gas in a half space. At the boundary of the half space, it is assumed that the gas is in contact with its condensed phase. The present paper discusses…

Analysis of PDEs · Mathematics 2021-03-19 Niclas Bernhoff , François Golse

Within wall turbulence, there is a sublayer where the mean wall-normal flux of the streamwise momentum is constant and related to the logarithmic wall-normal profile of the mean streamwise velocity. This relation, i.e., the law of the wall,…

Fluid Dynamics · Physics 2022-03-04 H. Mouri , J. Ito

We analyze the escape of Brownian particles over potential barriers using the Fokker-Planck equation in a similar way to that of Chandrasekhar (Rev. Modern Phys., 1943), deriving a formula for the particle deposition velocity to a surface…

Statistical Mechanics · Physics 2014-11-05 Michael W. Reeks

Recently linear dissipative models of the Boltzmann equation have been introduced. In this work, we consider the problem of constructiing suitable hydrodynamic approximations for such models where the mean velocity and the temperature of…

Analysis of PDEs · Mathematics 2007-05-23 Stephane Brull , Lorenzo Pareschi

The bootstrap current and flow velocity of a low-collisionality stellarator plasma are calculated. As far as possible, the analysis is carried out in a uniform way across all low-collisionality regimes in general stellarator geometry,…

Plasma Physics · Physics 2017-05-24 P. Helander , F. I. Parra , S. L. Newton

Deformation-induced lateral migration of a bubble slowly rising near a vertical plane wall in a stagnant liquid is numerically and theoretically investigated. In particular, our focus is set on a situation with a short clearance $c$ between…

Fluid Dynamics · Physics 2017-04-26 Kazuyasu Sugiyama , Fumio Takemura

We compute the spectral densities of $T^{\mu\nu}$ and $J^{\mu}$ in high temperature QCD plasmas at small frequency and momentum,\, $\omega,k \sim g^4 T$. The leading log Boltzmann equation is reformulated as a Fokker Planck equation with…

Nuclear Theory · Physics 2012-06-12 Juhee Hong , Derek Teaney

The leading order "temperature" of a dense two dimensional granular material fluidised by external vibrations is determined. An asymptotic solution is obtained where the particles are considered to be elastic in the leading approximation.…

Soft Condensed Matter · Physics 2009-10-31 P. Sunthar , V. Kumaran

The influence of an underlying carrier flow on the terminal velocity of sedimenting particles is investigated both analytically and numerically. Our theoretical framework works for a general class of (laminar or turbulent) velocity fields…

Chaotic Dynamics · Physics 2008-08-22 Marco Martins Afonso

The selfconsistent steady state solution for a strong shock, significantly modified by accelerated particles is obtained on the level of a kinetic description, assuming Bohm-type diffusion. The original problem that is commonly formulated…

Astrophysics · Physics 2009-10-30 M. A. Malkov

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

In order to study the validity of analytical formulas used in the calculation of characteristic physical quantities related to vacuum bubbles, we conduct several numerical simulations of bubble kinematics in the context of cosmological…

High Energy Physics - Phenomenology · Physics 2024-09-04 Huai-Ke Guo , Song Li , Yang Xiao , Jin Min Yang , Yang Zhang

We investigate theoretically the near-wall region in elastic turbulence of a dilute polymer solution in the limit of large Weissenberg number. As it was established experimentally, elastic turbulence possesses a boundary layer where the…

Fluid Dynamics · Physics 2019-02-20 S. Belan , A. Chernykh , V. Lebedev

We study nonthermal production of heavy dark matter from the dynamics of the background scalar field during a first-order phase transition, predominantly from bubble collisions. In scenarios where bubble walls achieve runaway behavior and…

High Energy Physics - Phenomenology · Physics 2025-01-10 Gian F. Giudice , Hyun Min Lee , Alex Pomarol , Bibhushan Shakya

Domain wall networks are two-dimensional topological defects generally predicted in many beyond standard model physics. In this Letter, we propose to solve the domain wall problem with the first-order phase transition. We numerically study…

High Energy Physics - Phenomenology · Physics 2023-04-12 Yang Li , Ligong Bian , Yongtao Jia

The motion of rarefied gases for uniform shear flow at the kinetic level is governed by the spatially homogeneous Boltzmann equation with a deformation force. In the paper we study the corresponding Cauchy problem with initial data of…

Analysis of PDEs · Mathematics 2022-10-25 Renjun Duan , Shuangqian Liu

It is known that in an unbounded fluid, the inline configuration of a freely rising bubble pair is often unstable with respect to lateral disturbances. This work numerically examines the stability of this configuration in the presence of a…

Fluid Dynamics · Physics 2025-01-14 Haochen Huang , Pengyu Shi , Nina Elkina , Henrik Schulz , Jie Zhang

For the Boltzmann equation with cutoff hard potentials, we construct the unique global solution converging with an exponential rate in large time to global Maxwellians not only for the specular reflection boundary condition with the bounded…

Analysis of PDEs · Mathematics 2020-11-04 Renjun Duan , Gyounghun Ko , Donghyun Lee

Relativistic bubble walls from cosmological phase transitions (PT) necessarily accumulate expanding shells of particles. We systematically characterize shell properties, and identify and calculate the processes that prevent them from free…

High Energy Physics - Phenomenology · Physics 2024-05-22 Iason Baldes , Maximilian Dichtl , Yann Gouttenoire , Filippo Sala