Search:
Match:
4 results
Research Paper#Physics, Numerical Simulation, Solitary Waves🔬 ResearchAnalyzed: Jan 3, 2026 06:39

Numerical Study of Solitary Waves in Dirac-Klein-Gordon System

Published:Dec 31, 2025 16:34
1 min read
ArXiv

Analysis

This paper investigates solitary waves within the Dirac-Klein-Gordon system using numerical methods. It explores the relationship between energy, charge, and a parameter ω, employing an iterative approach and comparing it with the shooting method for massless scalar fields. The study utilizes virial identities to ensure simulation accuracy and discusses implications for spectral stability. The research contributes to understanding the behavior of these waves in both one and three spatial dimensions.
Reference

“The paper constructs solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and studies the dependence of energy and charge on $ω$.”

PermalinkArXiv
Research Paper#Physics, Computational Physics, Statistical Mechanics🔬 ResearchAnalyzed: Jan 3, 2026 18:35

Predicting Random Close Packing of Binary Hard-Disk Mixtures

Published:Dec 29, 2025 17:17
1 min read
ArXiv

Analysis

This paper introduces a novel method for predicting the random close packing (RCP) fraction in binary hard-disk mixtures. The significance lies in its simplicity, accuracy, and universality. By leveraging a parameter derived from the third virial coefficient, the model provides a more consistent and accurate prediction compared to existing models. The ability to extend the method to polydisperse mixtures further enhances its practical value and broadens its applicability to various hard-disk systems.
Reference

“The RCP fraction depends nearly linearly on this parameter, leading to a universal collapse of simulation data.”

PermalinkArXiv
research#physics🔬 ResearchAnalyzed: Jan 4, 2026 06:49

Generalized Virial Identities: Radial Constraints for Solitons, Instantons, and Bounces

Published:Dec 29, 2025 15:42
1 min read
ArXiv

Analysis

This article likely presents a theoretical physics paper focusing on mathematical identities and their applications to specific physical phenomena (solitons, instantons, and bounces). The title suggests a focus on radial constraints, implying the use of spherical or radial coordinates in the analysis. The source, ArXiv, indicates it's a pre-print server, common for scientific publications.
Reference

“”

PermalinkArXiv
Research Paper#Nonlinear Schrödinger Equation (NLS), Mathematical Physics🔬 ResearchAnalyzed: Jan 3, 2026 16:20

Blowup Rate for Rotational NLS with Repulsive Potential

Published:Dec 28, 2025 07:25
1 min read
ArXiv

Analysis

This paper provides an analytical proof of the blowup rate for the mass-critical nonlinear Schrödinger equation (NLS) with rotation and a repulsive harmonic potential. It uses a virial identity and a pseudo-conformal transform. The findings are significant because they reveal how the repulsive potential can lead to global solutions in the focusing RNLS, a phenomenon previously observed in the non-rotational case. Numerical simulations support the analytical results.
Reference

“The paper proves the "log-log" blowup rate and describes the mass concentration behavior near the blowup time. It also finds that increasing the repulsive potential can lead to global solutions.”

PermalinkArXiv