Physical Review E (Computational physics)

Author(s): Wen-Xuan Yuan and Rui Guo

The phenomenon of dispersive shock waves (DSWs) exerts a critical influence on nonlinear dynamics in various nonlinear fields, and simulating this complex physical process remains a significant challenge. In this paper, we dramatically enhance the ability of physics-informed neural networks (PINNs) …

[Phys. Rev. E 110, 065307] Published Fri Dec 27, 2024

Author(s): Ethan C. McGarrigle, Hector D. Ceniceros, and Glenn H. Fredrickson

We introduce a projected complex Langevin (CL) numerical sampling method—a fictitious Langevin dynamics scheme that uses numerical projection to sample a constrained stationary distribution with highly oscillatory character. Despite the complex-valued degrees of freedom and associated sign problem, …

[Phys. Rev. E 110, 065308] Published Fri Dec 27, 2024

Author(s): Adil A. Gangat and Johnnie Gray

Obtaining the low-energy configurations of spin glasses that have rugged energy landscapes is of direct relevance to combinatorial optimization and fundamental science. Search-based heuristics have difficulty with this task due to the existence of many local minima that are far from optimal. The wor…

[Phys. Rev. E 110, 065306] Published Mon Dec 23, 2024

Author(s): L. Brodoloni and S. Pilati

One major difficulty in applying quantum Monte Carlo to quantum spin glass models arises from the need to control the population of random walkers, which can lead to biases. Here, a projective quantum Monte Carlo method with neural-network-based guiding wave functions is used to eliminate population control bias. The study provides valuable insights into quantum spin glasses and demonstrates the effectiveness of neural network states in simulating frustrated quantum systems.

[Phys. Rev. E 110, 065305] Published Thu Dec 19, 2024

Author(s): Oleg Ilyin

Two-dimensional lattice Boltzmann (LB) models for the Shakhov kinetic equation are developed. In contrast to several previous thermal LB models with variable Prandtl number, the present approach deals with the models on Cartesian lattices. This allows the standard collide-and-stream implementation. …

[Phys. Rev. E 110, 065304] Published Wed Dec 18, 2024

Author(s): Yunuo Xiong, Shujuan Liu, and Hongwei Xiong

Recently, fictitious identical particles have provided a promising way to overcome the fermion sign problem and have been used in path integral Monte Carlo to accurately simulate warm dense matter with up to 1000 electrons [T. Dornheim et al., J. Phys. Chem. Lett. 15, 1305 (2024)]. The inclusion of…

[Phys. Rev. E 110, 065303] Published Tue Dec 17, 2024

Author(s): Yakun Dong, Kamran Sadiq, Otmar Scherzer, and John C. Schotland

We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We consider a scalar model of light propagation in the medium. We employ the theory of reprodu…

[Phys. Rev. E 110, 065302] Published Wed Dec 11, 2024

Author(s): Qizheng Sun, Xiaojing Liu, Xiang Chai, Hui He, Lianjie Wang, Bin Zhang, and Tengfei Zhang

We propose an upwind hybrid discontinuous Galerkin (HDG) method for the first-order hyperbolic linear Boltzmann transport equation, featuring a flexible expansion suitable for multiscale scenarios. Within the HDG scheme, primal variables and numerical traces are introduced within and along faces of …

[Phys. Rev. E 110, 065301] Published Thu Dec 05, 2024

Author(s): Gabe Schumm, Sibin Yang, and Anders W. Sandvik

Stochastic analytic continuation (SAC) of quantum Monte Carlo (QMC) imaginary-time correlation function data is a valuable tool in connecting many-body models to experimentally measurable dynamic response functions. Recent developments of the SAC method have allowed for spectral functions with sharp…

[Phys. Rev. E 110, 055307] Published Mon Nov 25, 2024

Author(s): Mikhail Gennadievich Belov and Vladislav Gennadievich Malyshkin

The problem of an optimal mapping between Hilbert spaces IN of |ψ〉 and OUT of |ϕ〉 based on a set of wavefunction measurements (within a phase) ψl→ϕl, l=1,⋯,M, is formulated as an optimization problem maximizing the total fidelity ∑l=1Mω(l)|〈ϕl|U|ψl〉|2 subject to probability preservation constraints …

[Phys. Rev. E 110, 055306] Published Tue Nov 19, 2024