Physical Review E (Computational physics)

Author(s): Jiangxu Huang, Lei Wang, Zhenhua Chai, and Baochang Shi

In this paper we first propose a phase-field model for the containerless freezing problems, in which the volume expansion or shrinkage of the liquid caused by the density change during the phase change process is considered by adding a mass source term to the continuum equation. Then a phase-field-b…

[Phys. Rev. E 110, 035301] Published Fri Sep 06, 2024

Author(s): Timothée Devergne, Leon Huet, Fabio Pietrucci, and A. Marco Saitta

The computational exploration of reactive processes is challenging due to the requirement of thorough sampling across the free energy landscape using accurate ab initio methods. To address these constraints, machine learning potentials are employed, yet their training for this kind of problem is sti…

[Phys. Rev. E 110, L033301] Published Tue Sep 03, 2024

Author(s): Francesco Boccardo and Olivier Pierre-Louis

Reinforcement Learning offers a framework to learn to choose actions in order to control a system. However, at small scales Brownian fluctuations limit the control of nanomachine actuation or nanonavigation and of the molecular machinery of life. We analyze this regime using the general framework of…

[Phys. Rev. E 110, L023301] Published Fri Aug 30, 2024

Author(s): E. L. Gaggioli, Laura C. Estrada, and Oscar P. Bruno

We consider boundary-layer structures that arise in connection with the transport of neutral particles (e.g., photons or neutrons) through a participating medium. Such boundary-layer structures were previously identified by the authors in certain particular cases [Phys. Rev. E 104, L032801 (2021)]. …

[Phys. Rev. E 110, 025306] Published Wed Aug 28, 2024

Author(s): Junghyo Jo, Alexandre Wagemakers, and Vipul Periwal

The Newton-Raphson method is a fundamental root-finding technique with numerous applications in physics. In this study, we propose a parameterized variant of the Newton-Raphson method, inspired by principles from physics. Through analytical and empirical validation, we demonstrate that this approach…

[Phys. Rev. E 110, 025305] Published Mon Aug 19, 2024

Author(s): E. Castro-Ávila, Paolo Malgaretti, Jens Harting, and J. D. Muñoz

We employ a lattice Boltzmann method to compute the acoustic radiation force produced by standing waves on a compressible object for the density matched case. Instead of simulating the fluid mechanics equations directly, the proposed method uses a lattice Boltzmann model that reproduces the wave equ…

[Phys. Rev. E 110, 025304] Published Tue Aug 13, 2024

Author(s): Leheng Chen, Chuang Zhang, and Jin Zhao

Many macroscopic non-Fourier heat conduction models have been developed in the past decades based on Chapman-Enskog, Hermite, or other small perturbation expansion methods. These macroscopic models have achieved great success in capturing non-Fourier thermal behaviors in solid materials, but most of…

[Phys. Rev. E 110, 025303] Published Wed Aug 07, 2024

Author(s): Jaemin Seo

Reconstructing the past of observed fluids has been known as an ill-posed problem due to both numerical and physical challenges, especially when observations are distorted by inevitable noise, resolution limits, or unknown factors. When employing traditional differencing schemes to reconstruct the p…

[Phys. Rev. E 110, 025302] Published Tue Aug 06, 2024

Author(s): Zheng Dai (代铮), Zhongyi Wang (王忠义), Junhao Zhu (朱俊豪), Xiaohu Chen (陈小虎), Qing Li (李庆), and Zongrui Jin (金宗睿)

Based on the mesoscopic scale, the lattice Boltzmann method (LBM) with an enthalpy-based model represented in the form of distribution functions is widely used in the liquid-solid phase transition process of energy storage materials due to its direct and relatively accurate characterization of the p…

[Phys. Rev. E 110, 025301] Published Mon Aug 05, 2024

Author(s): Abram Rodgers and Daniele Venturi

Functional differential equations (FDEs) play a fundamental role in many areas of mathematical physics, including fluid dynamics (Hopf characteristic functional equation), quantum field theory (Schwinger-Dyson equations), and statistical physics. Despite their significance, computing solutions to FD…

[Phys. Rev. E 110, 015310] Published Tue Jul 30, 2024

Author(s): Kaiyu Shi, Guanqing Wang, Jiangrong Xu, and Lu Wang

In this paper, we extend the improved discrete unified gas-kinetic scheme (DUGKS) from solving the hydrodynamic equations to addressing the phase field equations, building upon our prior work [Wang et al., Phys. Fluids 35, 017106 (2023)]. The conservative Allen-Cahn equation and its modified form a…

[Phys. Rev. E 110, 015311] Published Tue Jul 30, 2024

Author(s): Lukas Mayrhofer, Myfanwy E. Evans, and Gero Friesecke

We present fast simulation methods for the self-assembly of complex shapes in two dimensions. The shapes are modeled via a general boundary curve and interact via a standard volume term promoting overlap and an interpenetration penalty. To efficiently realize the Gibbs measure on the space of possib…

[Phys. Rev. E 110, 015309] Published Wed Jul 24, 2024

Author(s): Niall Byrnes, Gary R. W. Greaves, and Matthew R. Foreman

Random matrix theory is a useful tool in the study of the physics of multiple scattering systems, often striking a balance between computation speed and physical rigour. Propagation of waves through thick disordered media, as arises, for example, in optical scattering or electron transport, typicall…

[Phys. Rev. E 110, 015308] Published Fri Jul 19, 2024

Author(s): Baihui Chen (陈百慧), Chengjie Zhan (湛承杰), Zhenhua Chai (柴振华), and Baochang Shi (施保昌)

In this work, we develop a phase-field-based lattice Boltzmann (LB) method for a two-scalar model of the two-phase flows with interfacial mass or heat transfer. Through the Chapman-Enskog analysis, we show that the present LB method can correctly recover the governing equations for phase field, flow…

[Phys. Rev. E 110, 015307] Published Wed Jul 17, 2024

Author(s): Hamed Vaseghnia, Espen Jettestuen, Knut Erik Teigen Giljarhus, Olav Aursjø, and Aksel Hiorth

We present a comprehensive analysis of the non-Newtonian lattice Boltzmann method (LBM) when it is used to simulate the distribution of wall shear stress (WSS). We systematically identify sources of numerical errors associated with non-Newtonian rheological behavior of fluids in off-grid geometries.…

[Phys. Rev. E 110, 015305] Published Mon Jul 15, 2024

Author(s): S. A. Hosseini and I. V. Karlin

Asymptotic freedom is a feature of quantum chromodynamics that guarantees its well posedness. We derive an analog of asymptotic freedom enabling unconditional linear stability of lattice Boltzmann simulation of hydrodynamics. We further demonstrate the validity of the derived conditions via the spec…

[Phys. Rev. E 110, 015306] Published Mon Jul 15, 2024

Author(s): Zifan Zhou, Yael Sternfeld, Jacob Scheuer, and Selim M. Shahriar

We describe a generalized algorithm for evaluating the steady-state solution of the density matrix equation of motion, for the pump-probe scheme, when two fields oscillating at different frequencies couple the same set of atomic transitions involving an arbitrary number of energy levels, to an arbit…

[Phys. Rev. E 110, 015304] Published Fri Jul 12, 2024

Author(s): Ricardo L. M. Bazarin, Christian Naaktgeboren, Silvio L. M. Junqueira, Paulo Cesar Philippi, and Luiz Adolfo Hegele, Jr.

We propose alternative discretization schemes for improving the lattice Boltzmann pseudopotential model for incompressible multicomponent systems, with the purpose of modeling the flow of immiscible fluids with a large viscosity ratio. Compared to the original model of Shan-Chen [Phys. Rev. E 47, 18…

[Phys. Rev. E 110, 015303] Published Mon Jul 08, 2024

Author(s): Diego Taglienti, Fabio Guglietta, and Mauro Sbragaglia

We develop a numerical method for simulating the dynamics of a droplet immersed in a generic time-dependent velocity gradient field. This approach is grounded on the hybrid coupling between the lattice Boltzmann (LB) method, employed for the flow simulation, and the immersed boundary (IB) method, ut…

[Phys. Rev. E 110, 015302] Published Tue Jul 02, 2024

Author(s): Xander M. de Wit, Rudie P. J. Kunnen, Herman J. H. Clercx, and Federico Toschi

In many natural and industrial applications, turbulent flows encompass some form of dispersed particles. Although this type of multiphase turbulent flow is omnipresent, its numerical modeling has proven to be a remarkably challenging problem. Models that fully resolve the particle phase are computat…

[Phys. Rev. E 110, 015301] Published Mon Jul 01, 2024