Physical Review E (Computational physics)

Author(s): Giovanni Catania, Aurélien Decelle, and Beatriz Seoane

We characterize the equilibrium properties of a model of y coupled binary perceptrons in the teacher-student scenario, subject to a suitable cost function, with an explicit ferromagnetic coupling proportional to the Hamming distance between the students' weights. In contrast to recent works, we anal…

[Phys. Rev. E 109, 065313] Published Fri Jun 28, 2024

Author(s): Niaz Ali Khan, Shihao Ye, Ziheng Zhou, Shujie Cheng, and Gao Xianlong

The understanding of quantum phase transitions in disordered or quasicrystal media is a central issue in condensed matter physics. In this paper we investigate localization properties of the two-dimensional Aubry-André model. We find that the system exhibits self-duality for the transformation betwe…

[Phys. Rev. E 109, 065311] Published Tue Jun 25, 2024

Author(s): Siu A. Chin

It is widely known that there is no sign problem in path integral Monte Carlo (PIMC) simulations of fermions in one dimension. As far as the author is aware, there is no direct proof of this in the literature. This work shows that the sign of the N-fermion antisymmetric free propagator is given by t…

[Phys. Rev. E 109, 065312] Published Tue Jun 25, 2024

Author(s): Meng Lian, Chuang Zhang, Zhaoli Guo, and Jing-Tao Lü

Electrons are the carriers of heat and electricity in materials and exhibit abundant transport phenomena such as ballistic, diffusive, and hydrodynamic behaviors in systems with different sizes. The electron Boltzmann transport equation (eBTE) is a reliable model for describing electron transport, b…

[Phys. Rev. E 109, 065310] Published Mon Jun 24, 2024

Author(s): Yichong Chen, Livio Gibelli, and Matthew K. Borg

The impact of nanoscale wall roughness on rarefied gas transport is widely acknowledged, yet the associated scattering dynamics largely remain elusive. In this paper, we develop a scattering kernel for surfaces having nanoscale roughness that distinctly characterizes the two major types of interacti…

[Phys. Rev. E 109, 065308] Published Thu Jun 20, 2024

Author(s): Barbara Wirthl, Vitaly Wirthl, and Wolfgang A. Wall

Magnetic nanoparticles have emerged as a promising approach to improving cancer treatment. However, many nanoparticle designs fail in clinical trials due to a lack of understanding of how to overcome the in vivo transport barriers. To address this shortcoming, we develop a computational model aimed …

[Phys. Rev. E 109, 065309] Published Thu Jun 20, 2024

Author(s): Indranil Nayak, Fernando L. Teixeira, Dong-Yeop Na, Mrinal Kumar, and Yuri A. Omelchenko

We present a data-driven reduced-order modeling of the space-charge dynamics for electromagnetic particle-in-cell (EMPIC) plasma simulations based on dynamic mode decomposition (DMD). The dynamics of the charged particles in kinetic plasma simulations such as EMPIC is manifested through the plasma c…

[Phys. Rev. E 109, 065307] Published Mon Jun 17, 2024

Author(s): Rongzong Huang, Qing Li, and Yu Qiu

In this work, the recent lattice Boltzmann (LB) model with self-tuning equation of state (EOS) [Huang et al., Phys. Rev. E 99, 023303 (2019)] is extended to three dimensions for the simulation of multiphase flows, which is based on the standard three-dimensional 27-velocity lattice and multiple-rel…

[Phys. Rev. E 109, 065306] Published Fri Jun 14, 2024

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

In this paper we first present the general propagation multiple-relaxation-time lattice Boltzmann (GPMRT-LB) model and obtain the corresponding macroscopic finite-difference (GPMFD) scheme on conservative moments. Then based on the Maxwell iteration method, we conduct the analysis on the truncation …

[Phys. Rev. E 109, 065305] Published Wed Jun 12, 2024

Author(s): Rebecca Efrat Hadad, Argha Roy, Eran Rabani, Ronald Redmer, and Roi Baer

This study overviews and extends a recently developed stochastic finite-temperature Kohn-Sham density functional theory to study warm dense matter using Langevin dynamics, specifically under periodic boundary conditions. The method's algorithmic complexity exhibits nearly linear scaling with system …

[Phys. Rev. E 109, 065304] Published Tue Jun 11, 2024

Author(s): Takumi Morino, Machiko Ode, and Shoichi Hirosawa

We formulated two phase-field models to compute interfacial compositions, characterized by their high computational accuracy and efficiency. The inaugural model utilizes convergence calculations to fulfill the equal diffusion potential condition, while the subsequent model obviates the need for such…

[Phys. Rev. E 109, 065303] Published Mon Jun 10, 2024

Author(s): Sumesh P. Thampi, Kevin Stratford, and Oliver Henrich

Anisotropic particles are often encountered in different fields of soft matter and complex fluids. In this work, we present an implementation of the coupled hydrodynamics of solid ellipsoidal particles and the surrounding fluid using the lattice Boltzmann method. A standard link-based mechanism is u…

[Phys. Rev. E 109, 065302] Published Fri Jun 07, 2024

Author(s): Amin Barzegar, Firas Hamze, Christopher Amey, and Jonathan Machta

Annealing algorithms such as simulated annealing and population annealing are widely used both for sampling the Gibbs distribution and solving optimization problems (i.e., finding ground states). For both statistical mechanics and optimization, additional parameters beyond temperature are often need…

[Phys. Rev. E 109, 065301] Published Thu Jun 06, 2024