We theoretically show that a superposition of plane waves causes small (compared to the wavelength) particles dispersed in a fluid to assemble in quasiperiodic two or three-dimensional patterns. We experimentally demonstrate this theory by using ultrasound waves to assemble quasiperiodic patterns of carbon nanoparticles in water using an octagonal arrangement of ultrasound transducers, and we document good agreement between theory and experiments. The theory also applies to obtaining quasiperiodic patterns in other situations where particles move with linear waves, such as optical lattices.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevLett.126.145501 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Bifurcations of phase portraits and chaotic behaviors of the (2+1)-dimensional double-chain DNA system with beta derivative: A qualitative approach.
Heliyon
July 2024
Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh.
Qualitative analysis in mathematical modeling has become an important research area within the broad domain of nonlinear sciences. In the realm of qualitative analysis, the bifurcation method is one of the significant approaches for studying the structure of orbits in nonlinear dynamical systems. To apply the bifurcation method to the (2 + 1)-dimensional double-chain Deoxyribonucleic Acid system with beta derivative, the bifurcations of phase portraits and chaotic behaviors, combined with sensitivity and multi-stability analysis of this system, are examined.
View Article and Find Full Text PDFMathematically inspired structure design in nanoscale thermal transport.
Nanoscale
December 2024
Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan.
Mathematically inspired structure design has emerged as a powerful approach for tailoring material properties, especially in nanoscale thermal transport, with promising applications both within this field and beyond. By employing mathematical principles, based on number theory, such as periodicity and quasi-periodic organizations, researchers have developed advanced structures with unique thermal behaviours. Although periodic phononic crystals have been extensively explored, various structural design methods based on alternative mathematical sequences have gained attention in recent years.
View Article and Find Full Text PDFEffect of Nanosecond Laser Texturization on Tribological Behavior of AISI 321 Stainless Steel.
Materials (Basel)
November 2024
Faculty of Mechanical Engineering, Poznań University of Technology, Piotrowo 3, 61-138 Poznań, Poland.
Article Synopsis
- This study examines how laser surface modifications can improve wear resistance, hardness, and friction in both dry and lubricated conditions.
- The research uses nanosecond pulsed laser treatment to create different surface structures on steel, aiming to increase wear resistance and decrease the coefficient of friction (COF).
- Findings suggest that laser texturing enhances hardness, modifies surface wettability, reduces COF, and promotes better lubrication retention, making it a beneficial technique for industries needing durable materials.
Quasiperiodic shrimp-shaped domains in intrinsically coupled oscillators.
Chaos
December 2024
Institute of Physics, University of São Paulo, 05508-900 São Paulo, SP, Brazil.
Article Synopsis
- The study explores the formation of intricate patterns, or "metamorphic tongues," in a system made up of a rotor and a Duffing oscillator, highlighting their unusual quasiperiodic and chaotic behaviors.
- Researchers use Lyapunov exponents to map out self-similar islands of stability and chaos in the system's two-dimensional parameter space.
- Notably, quasiperiodic shrimp-shaped domains exhibit features akin to periodic systems, including complicated behaviors like torus-doubling and torus-tripling.
Dispersal induced catastrophic bifurcations, Arnold tongues, shrimp structures, and stock patterns in an ecological system.
Chaos
December 2024
Differential Equations, Modeling and Simulation Group, Department of Mathematics, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, Madhya Pradesh, India.
Article Synopsis
- The paper analyzes a discrete-time predator-prey model in a two-patch environment, focusing on prey and predator dispersal using logistic growth and Holling type-II responses.
- The study identifies multiple equilibria and their stability, revealing phenomena like bifurcations, chaos, and a unique 10-period orbit with closed invariant curves.
- It challenges common assumptions by demonstrating how dispersal can sometimes stabilize coexisting populations and explores complex dynamics in a two-parameter space, contributing to the understanding of predator-prey interactions.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!