Articles tagged with Topology
Researchers develop a new theory that describes how a knot's topology determines its mechanical forces, providing guidelines for choosing certain knot configurations. The theory accurately predicts the force needed to close a knot, given its topology and strand properties.
Researchers at Aalto University predicted the existence of topological superconductors on metallic surfaces and thin films using mathematical models. The discovery could lead to new quantum states and potential applications in quantum computing.
Researchers have created a new type of pasta called 'anelloni' to demonstrate the complex shapes of ring-shaped polymers. Computer simulations show that these molecules can become tangled and appear frozen in place, potentially leading to a new state of matter called a 'topological glass'.
Researchers at ETH Zurich create an artificial graphene system that breaks time-reversal symmetry using laser beams and ultracold atoms. This setup enables the testing of the topological Haldane model, a concept first proposed in 1988, and paves the way for new electronic applications.
Researchers at MIT and Harvard University have found a way to render excitons immune to defects, improving photovoltaic devices' efficiency. The team used topological protection to create excitons that move only on the surface of materials, governed by applied magnetic fields.
Scientists at the Joint Quantum Institute have successfully demonstrated on-chip topological light, showcasing a robust and consistent method for photonic signal processing. The breakthrough enables the development of microscale delay lines with low energy loss, opening up new possibilities for quantum information processing.
A team of scientists has successfully created a triple twisted Möbius annulene, a complex molecule with three twists but only one surface. This achievement demonstrates their expertise in manipulating molecular structures and has significant potential for future applications in molecular electronics and optoelectronics.
Researchers at Princeton University have discovered a new class of quantum materials that enable electrons to flow through the interior with minimal resistance. This breakthrough has significant implications for future technologies, including faster electronics and quantum computing.
Researchers Chi Wu and Lianwei Li won the prize for their study on transporting polymer chains through a small cylindrical pore, discovering critical flow rates independent of chain length. The award recognizes significant contributions to modern polymer chemistry in China.
Vladimir Touraev, a renowned expert in low-dimensional topology, has been awarded $2.7 million by the Russian government to establish a scientific center in Chelyabinsk, Russia. The center will facilitate collaboration between IU scientists and their counterparts in Russia, promoting international research opportunities.
Researchers developed a printable, cuttable multi-touch sensor with robust circuit layout for various shapes and applications. The new design combines star and tree topology for improved functionality and durability.
Researchers used detached-eddy simulations to study new vortical flows over a 76/40 double delta wing, finding a new type of cross-flow vortex that differs from other vortices. The vortex is caused by cross-flow instability and can cause local pressure distribution deviations.
Researchers identified protein MCM that changes DNA topology, forming 'supercoils.' This can lead to cancer cells growing out of control. The study provides new insight into MCM's role in gene regulation and cancer.
Researchers at Indiana University identify a molecular 'switch' in clathrin that may play a role in suppressing tumors. The discovery could lead to new strategies for controlling cancer.
Researchers have developed a framework for creating new materials by applying mathematical theorems to liquid crystal mediums. This approach could lead to improved energy efficiency in display devices, such as laptops and TVs.
University of Massachusetts Amherst mathematician Robert Kusner explains the observed
Qubits can successfully exist in topological superconductor materials despite impurities and strong interactions. Majorana particles provide coherence-protection programs for qubits.
Majorana particles may form the basis of quantum computers, while also being linked to dark matter. Theoretical physicists at Dartmouth College have proposed a model suggesting Majoranas could exist in topological superconductors.
Researchers present SCautz, a hybrid intra-container network for modular datacenters, achieving high throughput and improved fault tolerance. The design combines base Kautz topology with redundant commercial switches, reducing costs while maintaining performance.
Researchers have developed a new method for describing extremely complicated shapes, bridging topology and fractals. The persistent homology theory will aid in investigating and describing complex structures found in nature, such as defects in metals and wave froth.
Theoretical physicists have developed a new concept to create exotic topological states using dissipation, which can lead to immune quantum computers. They successfully linked concepts of quantum optics and condensed matter physics, demonstrating the feasibility of this approach.
American mathematician Andrew Toms has been awarded the prestigious AMS Centennial Fellowship for his excellence in research. The fellowship, worth $79,000, supports his work on operator algebras and their connections to dynamics and descriptive set theory.
Researchers observe fractional vortex state in strontium ruthenium oxide, potentially providing basis for topological quantum computing. The discovery may offer the first experimental evidence for an exotic state of matter predicted theoretically for over 30 years.
Researchers have discovered Möbius symmetry in metamaterials, which are engineered materials with electromagnetic properties. This discovery opens the door to finding and exploiting novel phenomena in metamaterials, as the coupling constants between meta-atoms can be arbitrarily varied without constraints.
A study published in Chaos found that traditional topological models, which rely on abstract network connections, are less accurate than physics-based models when assessing the vulnerability of the US electric grid. The researchers conclude that the grid's unpredictability makes it difficult to identify potential attack points.
The San Diego Supercomputer Center and CAIDA have created a geometric map of the Internet using hyperbolic geometry, leading to more efficient routing architecture. The new approach simplifies path-finding throughout the network, increasing speed, accuracy, and resistance to damage.
Topology optimization enables creation of patient-specific, case-by-case designs for tissue-engineered bone replacements in facial reconstruction. The technique accounts for variables like blood flow and chewing forces to optimize structure and function.
Researchers used Robofish to study the collective behavior of three-spined sticklebacks in groups. The findings show that individual fish are more influenced by neighboring fish than distance from the leader, providing insights into fish group dynamics and collective animal behavior.
Researchers at the University of Nevada Reno aim to solve fundamental questions about knots and low-dimensional manifolds using a new set of techniques. This study has implications for various scientific fields, including topology and materials science.
The molecule features two freely spinning rings that can adopt either a Hückel or Möbius topology, depending on the solvent and temperature conditions. This allows it to exhibit distinct colors in each configuration.
The American Mathematical Society has presented several prestigious prizes at the Joint Mathematics Meetings, recognizing significant achievements in mathematical exposition, research, and lifetime achievement. Notable winners include David Mumford, Karen Uhlenbeck, and Henry McKean.
Researchers Vin de Silva and Robert Ghrist use homology theory to analyze sensor networks, providing global information about coverage areas and detecting intruders. The study offers insights into designing effective sensor networks for national security measures.
Researchers create experimental models of hierarchical topologies by mixing components in a fluid and then 'freezing' them in place. This method allows for the study of self-assembly at the nano-scale, enabling diverse industries to generate new materials with enhanced properties such as super adhesion and low friction.
Shelly Harvey's discovery applies to a longstanding problem within knot theory, but its significance lies in the broader context of topology. The underlying structure she uncovered uses algebraic structures to describe similarities and differences between knotted shapes, offering a new approach to proving equivalency.
Researchers at UCLA successfully synthesized three identical, mutually interlocking Borromean rings around six metal templates. The complex seven-step synthesis required the use of computational chemistry and a high-risk approach.
Researchers have developed a new class of hyperbranched polymers with excellent mechanical properties and lower viscosities. These polymers can be easily processed and are suitable for various applications such as fuel cell materials, biocompatible elastomers and photo-curable adhesives.
Geologist Edward Keller has discovered a lost island, Isla Calafia, submerged for over 13,000 years under the Santa Barbara channel. The island, 31 miles long and three miles wide, rises about 660 feet from the bottom of the channel and is bordered by two major earthquake faults.