Physical Review E (Computational physics)

Author(s): I. V. Lukin and A. G. Sotnikov

We develop a new methodology to contract tensor networks within the corner transfer matrix renormalization group approach for a wide range of two-dimensional lattice geometries. We discuss contraction algorithms on the example of triangular, kagome, honeycomb, square-octagon, star, ruby, square-hexa…

[Phys. Rev. E 109, 045305] Published Wed Apr 17, 2024

Author(s): Vyacheslav Mozolenko and Lev Shchur

We present a modification of the Rose-Machta algorithm [N. Rose and J. Machta, Phys. Rev. E 100, 063304 (2019)] and estimate the density of states for a two-dimensional Blume-Capel model, simulating 105 replicas in parallel for each set of parameters. We perform a finite-size analysis of the specifi…

[Phys. Rev. E 109, 045306] Published Wed Apr 17, 2024

Author(s): Matteo Lulli, Luca Biferale, Giacomo Falcucci, Mauro Sbragaglia, Dong Yang, and Xiaowen Shan

Metastability in liquids is at the foundation of complex phase transformation dynamics such as nucleation and cavitation. Intermolecular interaction details, beyond the equation of state, and thermal hydrodynamic fluctuations play a crucial role. However, most numerical approaches suffer from a slow…

[Phys. Rev. E 109, 045304] Published Mon Apr 15, 2024

Author(s): Daniel Baye

The Lagrange-mesh method is an approximate variational method which provides accurate solutions of the Schrödinger equation for bound-state and scattering few-body problems. The stationary Klein-Gordon equation depends quadratically on the energy. For a central potential, it is solved on a Lagrange-…

[Phys. Rev. E 109, 045303] Published Wed Apr 10, 2024

Author(s): Fang Shan, Zhenhua Chai, and Baochang Shi

Auto-ejection of liquid is an important process in engineering applications, and is also very complicated since it involves interface moving, deforming, and jet breaking up. In this work, a theoretical velocity of meniscus at nozzle exit is first derived, which can be used to analyze the critical co…

[Phys. Rev. E 109, 045302] Published Mon Apr 08, 2024

Author(s): Anas Ghannam, Eiyad Abu-Nada, and Anas Alazzam

In this paper, we present a hybrid numerical scheme that couples the lattice Boltzmann method (LBM) with the finite difference method (FDM) to model micro-phase-change-material (MPCM) suspensions in a minichannel. Within this framework, the LBM was employed to solve the continuity, momentum, and ene…

[Phys. Rev. E 109, 045301] Published Fri Apr 05, 2024

Author(s): Long-Yuan Zhang, Jia-Zhi Li, Yu-Kun Chen, and Wen-Yang Duan

Real-world water wave fields exhibit significant nonlinear and nonisospectral characteristics, making it challenging to predict their evolution by relying solely on numerical simulation or exact solutions using integrable system theory. Hence, this paper introduces a fast and adaptive method of moda…

[Phys. Rev. E 109, 035303] Published Thu Mar 28, 2024

Author(s): A. Tentori, C. Larmier, J. Durand, B. Cochet, and A. Zoia

In this work we propose a modified Chord Length Sampling (CLS) algorithm, endowed with two layers of “memory effects,” aimed at solving particle transport problems in one-dimensional spatially nonhomogeneous Markov media. CLS algorithms are a family of Monte Carlo methods which account for the stoch…

[Phys. Rev. E 109, 035302] Published Tue Mar 19, 2024

Author(s): Reza Haghani, Hamidreza Erfani, James E. McClure, Eirik Grude Flekkøy, and Carl Fredrik Berg

In this paper, the underlying problem with the color-gradient (CG) method in handling density-contrast fluids is explored. It is shown that the CG method is not fluid invariant. Based on nondimensionalizing the CG method, a phase-field interface-capturing model is proposed which tackles the difficul…

[Phys. Rev. E 109, 035301] Published Fri Mar 08, 2024

Author(s): A. L. Azevedo, A. C. Maioli, F. Teston, M. R. Sales, F. M. Zanetti, and M. G. E. da Luz

Wave confinement, e.g., in waveguides, gives rise to a huge number of distinct phenomena. Among them, amplitude gain is a recurrent and relevant effect in undulatory processes. Using a general purpose protocol to solve wave equations, the boundary wall method, we demonstrate that for relatively simp…

[Phys. Rev. E 109, 025303] Published Tue Feb 27, 2024

Author(s): Ziming Liu, Patrick Obin Sturm, Saketh Bharadwaj, Sam J. Silva, and Max Tegmark

Discovering conservation laws for a given dynamical system is important but challenging. In a theorist setup (differential equations and basis functions are both known), we propose the sparse invariant detector (SID), an algorithm that autodiscovers conservation laws from differential equations. Its…

[Phys. Rev. E 109, L023301] Published Tue Feb 27, 2024

Author(s): Jin Bao and Zhaoli Guo

In this paper, a lattice Boltzmann for quasi-incompressible two-phase flows is proposed based on the Cahn-Hilliard phase-field theory, which can be viewed as an improved model of a previous one [Yang and Guo, Phys. Rev. E 93, 043303 (2016)]. The model is composed of two LBE's, one for the Cahn-Hilli…

[Phys. Rev. E 109, 025302] Published Thu Feb 15, 2024

Author(s): Xi Liu, Ying Chen, Zhenhua Chai, and Baochang Shi

In this paper, we develop a macroscopic finite-difference scheme from the mesoscopic regularized lattice Boltzmann (RLB) method to solve the Navier-Stokes equations (NSEs) and convection-diffusion equation (CDE). Unlike the commonly used RLB method based on the evolution of a set of distribution fun…

[Phys. Rev. E 109, 025301] Published Mon Feb 05, 2024

Author(s): Clement Charles, Erik J. Gustafson, Elizabeth Hardt, Florian Herren, Norman Hogan, Henry Lamm, Sara Starecheski, Ruth S. Van de Water, and Michael L. Wagman

The utility of quantum computers for simulating lattice gauge theories is currently limited by the noisiness of the physical hardware. Various quantum error mitigation strategies exist to reduce the statistical and systematic uncertainties in quantum simulations via improved algorithms and analysis …

[Phys. Rev. E 109, 015307] Published Fri Jan 26, 2024

Author(s): Søren Toxvaerd

Simulations of objects with classical dynamics are in fact a particular version of discrete dynamics, since almost all the classical dynamics simulations in natural science are performed with the use of the simple “leapfrog” or “Verlet” algorithm. It was, however, Newton who in Principia, Propositio…

[Phys. Rev. E 109, 015306] Published Wed Jan 24, 2024

Author(s): G. Negro, G. Gonnella, A. Lamura, S. Busuioc, and V. Sofonea

The liquid-vapor phase separation is investigated via lattice Boltzmann simulations in three dimensions. After expressing length and time scales in reduced physical units, we combined data from several large simulations (on 5123 nodes) with different values of viscosity, surface tension, and tempera…

[Phys. Rev. E 109, 015305] Published Tue Jan 23, 2024

Author(s): N. G. Kallikounis and I. V. Karlin

The particles on demand method [Phys. Rev. Lett. 121, 130602 (2018)] was recently formulated with a conservative finite-volume discretization and validated against challenging benchmarks. In this work, we focus on the properties of the reference frame transformation and its implications on the accur…

[Phys. Rev. E 109, 015304] Published Mon Jan 22, 2024

Author(s): Regina Rusch, Thomas Franosch, and Gerhard Jung

We investigate the usage of a recently introduced noise-cancellation algorithm for Brownian simulations to enhance the precision of measuring transport properties such as the mean-square displacement or the velocity-autocorrelation function. The algorithm is based on explicitly storing the pseudoran…

[Phys. Rev. E 109, 015303] Published Thu Jan 18, 2024

Author(s): Shubhang Goswami, Kipton Barros, and Matthew R. Carbone

The rational function approximation provides a natural and interpretable representation of response functions such as the many-body spectral functions. We apply the vector fitting (VFIT) algorithm to fit a variety of spectral functions calculated from the Holstein model of electron-phonon interactio…

[Phys. Rev. E 109, 015302] Published Thu Jan 11, 2024

Author(s): Xuhui Li (李旭晖), Zuoxu Li (李作旭), Wenyang Duan (段文洋), and Xiaowen Shan (单肖文)

In the present work, the force term is first derived in the spectral multiple-relaxation-time high-order lattice Boltzmann model. The force term in the Boltzmann equation is expanded in the Hermite temperature rescaled central moment space (RCM), instead of the Hermite raw moment space (RM). The con…

[Phys. Rev. E 109, 015301] Published Wed Jan 10, 2024