Article
Chemistry, Multidisciplinary
Joakim Bohlin, Andrew J. Turberfield, Ard A. Louis, Petr Sulc
Summary: We explored the design space for self-assembled multicomponent objects, ranging from unique building blocks to minimum number of distinct building blocks defining the target structure. By using patchy particle simulations, we analyzed the assembly dynamics of different solutions and their influence on the kinetics and yield of the target assembly. Our findings show that resource-saving solutions with minimum distinct blocks can perform just as well or faster than designs with unique building blocks. We also designed multifarious structures by sharing building blocks between different targets, and investigated the realization of multicomponent shapes using DNA nanostructures as building blocks through coarse-grained DNA simulations.
Article
Mathematics
Long Li, Guanghui Hu, Jiansheng Yang
Summary: It has been proven that an inhomogeneous medium with a boundary containing a weakly singular point of any order scatters all incoming waves. Similarly, a compactly supported source term with weakly singular points on the boundary always radiates acoustic waves. These findings indicate the absence of non-scattering energies and non-radiating sources in a domain with a piecewise analytic but not infinitely smooth boundary. Local uniqueness results with a single far-field pattern are obtained for inverse source and inverse medium scattering problems. Our arguments provide a rather weak condition on scattering interfaces and refractive index functions to guarantee that the scattered fields cannot vanish identically.
JOURNAL OF FUNCTIONAL ANALYSIS
(2023)
Article
Physics, Particles & Fields
Luis Inzunza, Mikhail S. Plyushchay
Summary: This study investigates the hidden symmetries of non-relativistic so (2, 1) congruent to sl(2, R) invariant systems in a cosmic string background using the conformal bridge transformation. The relationship between the free particle and the harmonic oscillator on this background, as well as the identification of integrals, are explored. Well-defined classical integrals exist in both models only at specific values of the geometrical parameter, with q > 1 resulting in higher-order generators of finite nonlinear algebras.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Mathematics
Leon Simon
Summary: With respect to a C infinity metric close to the standard Euclidean metric, a class of embedded (N + )-dimensional pound hypersurfaces without boundary is constructed, which are minimal and strictly stable, and have a singular set equal to an arbitrary preassigned closed subset K C {0} x Re. This settles the question of whether there can be gaps or fractional dimensional parts in the singular set with a strong affirmative. The construction involves the analysis of solutions u of the symmetric minimal surface equation on domains 52 C Rn whose symmetric graphs lie on one side of a cylindrical minimal cone.
ANNALS OF MATHEMATICS
(2023)
Article
Astronomy & Astrophysics
Miguel-Angel Sanchis-Lozano
Summary: We interpret the lack of large-angle temperature correlations and the even-odd parity imbalance observed in the cosmic microwave background as a possible stringy signal ultimately stemming from a composite inflaton field.
Article
Astronomy & Astrophysics
J. G. Lee, E. G. Adelberger, F. Marcoline, W. A. Terrano, B. R. Heckel
Summary: The study utilized two Eot-Wash torsion balance instruments to test the short-distance properties of gravity and constrain exotic dipole-dipole and monopole-dipole interactions. Efficient analytic techniques were discussed for computing expected torques in the instruments, taking into account Newtonian and Yukawa interactions, as well as dipole-dipole and monopole-dipole torques. The research also presented a new Fourier-Bessel expansion for inverse-power-law (IPL) potentials and slightly improved limits on inverse-5th-power law potentials.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
Ziwei Wang, Lei Lei, Hao Jiao, Lei Feng, Yi-Zhong Fan
Summary: Recent experiments have provided strong evidence for the existence of nanohertz stochastic gravitational wave background. This study demonstrates that cosmic string loops generated from cosmic global strings can explain the observed data, but also reveals challenges in explaining both the observations and data.
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
(2023)
Article
Engineering, Multidisciplinary
Fajie Wang, Zengtao Chen, Po-Wei Li, Chia-Ming Fan
Summary: The LSBM is proposed as a localized singular boundary method for solving Laplace and Helmholtz equations in 2D arbitrary domains. It offers advantages such as reduced memory storage and computational cost, as well as avoidance of boundary layer effects. Several numerical examples are used to verify its accuracy and stability.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Mathematics, Applied
Natalia P. Bondarenko
Summary: This study focuses on the Sturm-Liouville operator with singular potentials of class W2-1 on a graph of arbitrary geometrical structure. It addresses the partial inverse problem of recovering the potential on a boundary edge from a subspectrum with known potentials on other edges. The study provides a uniqueness theorem, a reconstruction algorithm, global solvability, as well as local solvability and stability for this inverse problem.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics
Mariya Kornilova, Vladislav Kovalnogov, Ruslan Fedorov, Mansur Zamaleev, Vasilios N. Katsikis, Spyridon D. Mourtas, Theodore E. Simos
Summary: This study investigates the time-varying matrix pseudoinverse problem, proposes a new model based on SVD and ZNN methods, and validates the effectiveness of the model through numerical experiments.
Article
Astronomy & Astrophysics
M. Salazar-Ramirez, D. Ojeda-Guillen, R. D. Mota, J. A. Martinez-Nuno, M. R. Cordero-Lopez
Summary: In this paper, an SU(1, 1) algebraic approach is introduced to study the (2 + 1)-Dirac oscillator in the presence of the Aharonov-Casher effect coupled to an external electromagnetic field in Minkowski spacetime and the cosmic string spacetime. The approach relies on a quantum mechanics factorization method to obtain the su(1, 1) algebra generators, energy spectrum, and eigenfunctions. Coherent states and their temporal evolution for each spinor component of the problem are derived, and matrix elements and the Schrodinger uncertainty relationship for two general SU(1, 1) operators are calculated.
MODERN PHYSICS LETTERS A
(2021)
Article
Mathematics
Debangana Mukherjee, Phan Thanh Nam, Phuoc-Tai Nguyen
Summary: This article investigates the focusing nonlinear Schrodinger equation with the critical inverse square potential, proving the uniqueness of the ground state solution and obtaining a sharp interpolation inequality. Additionally, a complete characterization is provided for the minimal mass blow-up solutions to the time dependent problem.
JOURNAL OF FUNCTIONAL ANALYSIS
(2021)
Article
Mathematics
Fernando Pablos Romo
Summary: The aim of this work is to extend the notion of G-Drazin inverse of a finite square matrix to finite potent endomorphisms. The structure and properties of a G-Drazin inverse of a finite potent endomorphism are determined, and an algorithm is provided to compute the explicit expression of all G-Drazin inverses of a finite square matrix.
LINEAR & MULTILINEAR ALGEBRA
(2022)
Article
Physics, Multidisciplinary
Bumseok Kyae
Summary: The study investigates the effects of logarithmic corrections to the minimal Kahler potential in supergravity, which can provide a constant Fayet-Iliopoulos term but may lead to singularities in the F-term scalar potential. By supplementing a proper superpotential, these singularities can be avoided and the U(1) gauge symmetry as well as supersymmetry can be broken. This mechanism is applied to a D-term hybrid inflationary model to break the U(1) gauge symmetry during the inflation era and dilute the resultant cosmic strings.
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
(2021)
Article
Nuclear Science & Technology
Lukas Kotik, Marcel Ohera
Summary: Airborne radiation monitoring has been utilized in geophysics for over forty years, and now plays a crucial role in emergency monitoring. This paper presents two semiparametric methods to estimate the aircraft background and cosmic gamma-ray contribution from measured gamma spectra at altitudes where terrestrial contribution is negligible. These methods rely on knowledge of peak positions and full width at half maximum, which can be easily obtained from terrestrial measurements.
NUCLEAR ENGINEERING AND TECHNOLOGY
(2023)
Article
Physics, Multidisciplinary
Djamil Bouaziz
Article
Physics, Multidisciplinary
N. Mebarki, K. Benhizia, Z. Belghobsi, D. Bouaziz
COMMUNICATIONS IN THEORETICAL PHYSICS
(2009)
Article
Astronomy & Astrophysics
Djamil Bouaziz, Abdelmalek Boukhellout
MODERN PHYSICS LETTERS A
(2014)
Article
Optics
Djamil Bouaziz, Nourredine Ferkous
Article
Optics
Djamil Bouaziz, Michel Bawin
Article
Physics, Multidisciplinary
Salaheddine Bensalem, Djamil Bouaziz
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2019)
Article
Physics, Multidisciplinary
Salaheddine Bensalem, Djamil Bouaziz
Article
Physics, Multidisciplinary
Salaheddine Bensalem, Djamil Bouaziz
Summary: The method for calculating the canonical partition function with deformed Heisenberg algebra, adapted to modified commutation relations including a maximal length, is applied to investigate the thermostatistics of an ideal gas and a system of harmonic oscillators. The effects of the maximal length on different systems vary, showing similarities to previously studied minimal length effects. Analysis of experimental data suggests that the maximal length can be viewed as a characteristic scale associated with the system under study.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Djamil Bouaziz, Tolga Birkandan
Proceedings Paper
Physics, Multidisciplinary
Djamil Bouaziz
XXIII INTERNATIONAL CONFERENCE ON INTEGRABLE SYSTEMS AND QUANTUM SYMMETRIES (ISQS-23)
(2016)
