Article
Mathematics, Applied
Masahiro Suzuki, Masahiro Takayama
Summary: The purpose of this paper is to mathematically study the formation of a plasma sheath and analyze the necessary conditions for its formation, known as the Bohm criteria. The paper investigates the solvability of boundary value problems in the Vlasov-Poisson system and finds that the kinetic Bohm criterion is a necessary condition for solvability. The hydrodynamic criterion can be derived from the kinetic criterion, and the relation between the solutions of the Vlasov-Poisson and Euler-Poisson systems is also examined.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2023)
Article
Physics, Fluids & Plasmas
Yuzhi Li, Bhuvana Srinivasan, Yanzeng Zhang, Xian-Zhu Tang
Summary: In this study, an expression for the Bohm speed in the presheath-sheath transition region is derived from a set of anisotropic plasma transport equations. The accuracy of this expression is validated by comparing it with kinetic simulation results.
PHYSICS OF PLASMAS
(2022)
Article
Optics
A. Hayashi
Summary: This paper critically examines the claim that the Aharonov-Bohm (AB) phase shift on a nonclosed path can be observed through the interaction between a charged particle and an external current source mediated by quantum photons. It demonstrates that the phase obtained through this approach is actually gauge dependent and not an observable for a nonclosed path. The proposed experiment for observing the AB phase shift of a nonclosed path is also critically discussed.
Article
Materials Science, Multidisciplinary
V Brosco, L. Pilozzi, C. Conti
Summary: This study investigates the Aharonov-Bohm caging effect in a one-dimensional lattice of theta-shaped units, where light trapping results from the destructive interference of waves propagating along three arms. The caging effect is tunable and controllable by changing the tunnel couplings J, which is reflected in the diffraction pattern and establishes a clear connection between the lattice topology and the resulting AB interference.
Article
Materials Science, Multidisciplinary
E. Gorbar, V. P. Gusynin, D. O. Oriekhov
Summary: The study focuses on gap generation in the dice model with local four-fermion interaction, revealing two main types of gaps associated with different valleys. While the intravalley gap is only generated in the supercritical regime, the intervalley gap can be produced for any small coupling. The absence of a critical coupling for the intervalley gap is explained by the catalysis of the flat band in the electron spectrum, leading to an extremely large intervalley gap proportional to the area of the Brillouin zone.
Article
Physics, Multidisciplinary
Ricardo Heras
Summary: This study presents a detailed analysis of the electromagnetic, topological, and quantum-mechanical aspects of the Aharonov-Bohm effect in a micro-sized toroidal magnet. By modeling the toroidal magnet as a closed flux line, the formal treatment of the effect is exact, simplified, and well-justified. The study emphasizes the topological nature of the effect and discusses local and nonlocal interpretations.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mathematics
Xiaofen Gao, Jialu Wang, Junyong Zhang, Jiqiang Zheng
Summary: We studied the uniform weighted resolvent estimates of Schrodinger operator with scaling-critical electromagnetic potentials, including the Aharonov-Bohm magnetic potential and inverse-square potential. Our results provide new insights into the 2D Schrodinger operator and show local smoothing estimates for the Schrodinger equation in this specific setting.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Chemistry, Physical
Viraht Sahni
Summary: This paper presents a new perspective on determinism in quantum mechanics, interpreting the behavior of classical fields based on the Quantum Newtonian Laws. It argues that the classical behavior of these fields allows for determinism in quantum mechanics. The wave function in quantum mechanics is seen as a non-deterministic probability amplitude.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Physics, Fluids & Plasmas
Zuozhi Hu, Shengmei Yang, Xiaochang Chen, Hui Chen, Sanqiu Liu
Summary: This study investigates the characteristic behaviors of the sheath in a collisional dusty plasma composed of nonthermal electrons, ions, neutral atoms, and negatively charged dusts, considering the ionization effect. The results show that the peculiarities of the sheath depend on ionization frequency sigma, non-thermality parameter b, and dust grains concentration mu. The findings provide more insight into the interaction processes in the plasma-wall transition region.
PHYSICS OF PLASMAS
(2023)
Article
Computer Science, Interdisciplinary Applications
Ameya Daigavane, Kiri L. Wagstaff, Gary Doran, Corey J. Cochrane, Caitriona M. Jackman, Abigail Rymer
Summary: This study investigates unsupervised time-series analysis techniques for identifying magnetic field boundaries in data collected by the Cassini mission to Saturn. The results show that transition points can be reliably detected, but generalization across different years remains a challenge. The study suggests potential applications of similar processing methods in the upcoming Europa Clipper mission to improve data quality.
COMPUTERS & GEOSCIENCES
(2022)
Article
Physics, Condensed Matter
C. O. Edet, K. Lakaal, J. El Hamdaoui, K. Feddi, L. M. Perez, E. Feddi, A. N. Ikot, N. Ali, Shamsul Amir Abdul Rais, M. Asjad
Summary: This study examines the effects of perturbations on the magnetic and thermal properties of the Eckart potential. The Schrodinger equation is solved using the functional analysis approach, and it is found that the system exhibits a diamagnetic behavior and the specific heat capacity agrees with the Dulong-Petit law.
PHYSICA B-CONDENSED MATTER
(2024)
Article
Materials Science, Multidisciplinary
Yuhan Liu, Ramanjit Sohal, Jonah Kudler-Flam, Shinsei Ryu
Summary: We study multipartitions of the gapped ground states of (2+1)-dimensional topological liquids and compute various correlation measures. By introducing vertex states in (1+1)-dimensional conformal field theory, we can explicitly construct the reduced density matrix. The results provide important insights and applications for understanding and utilizing topological liquids.
Article
Thermodynamics
Xilong Zhang, Yongliang Zhang
Summary: The study found that a strong magnetic field significantly enhances heat transfer in magnetic nanofluids, and the direction of the magnetic field has a significant impact on the convective heat transfer coefficient.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2021)
Article
Astronomy & Astrophysics
Yong Ji, Chao Shen, Nian Ren, Lan Ma, Yong Hui Ma, Xi Chen
Summary: This study presents statistical features of magnetic field curvature in the magnetosheath region. Two sets of high-quality field and plasma data are analyzed, and the results confirm previous findings and propose a potential mechanism for the anisotropic distribution of plasma pressure at large curvatures.
ASTROPHYSICAL JOURNAL
(2022)
Article
Multidisciplinary Sciences
V Sizyuk, A. Hassanein
Summary: This study comprehensively simulates the entire device of thermonuclear fusion reactors and compares the performance of different materials, such as liquid lithium, tungsten, and carbon. The results show that using liquid lithium on the divertor plates can significantly reduce heat loading and damage, leading to an enhancement in components lifetime.
SCIENTIFIC REPORTS
(2022)
