Articles tagged with Percolation
Physicists discovered connections between Ramanujan's formulae for pi and fundamental physics theories like conformal field theories. The formulas, developed in the early 20th century, yield efficient calculations for phenomena like turbulence and black holes.
Researchers propose a new strategy to stabilize quantum networks by rebuilding connections after each use, which leads to an eventual stable network state. The key is finding the optimal number of links to add, determined to be the square root of the number of users.
A new study published in Physical Review Letters suggests that nanohertz gravitational waves may not originate from supercool first-order phase transitions. Researchers found that such transitions would struggle to complete, shifting the frequency of the waves away from nanohertz frequencies.
A team of researchers led by Nigel Goldenfeld and Björn Hof used statistical mechanics to study turbulence in fluid flows. They discovered that the transitions between laminar and turbulent flows occur through a non-equilibrium phase transition, known as directed percolation, at the critical point of the transition.
A research team led by Professor Yang Yong found that severely oxidized metallic glass nanotubes can attain an ultrahigh recoverable elastic strain of up to 14% at room temperature. The discovery implies that oxidation in low-dimension metallic glass can result in unique properties for applications in sensors, medical devices, and othe...
Scientists developed a modeling technique to study urban traffic flows and verified it with real-world data from Shanghai. They discovered that Zhonghuan Road is a potential bottleneck that could lead to cascading failure of the entire urban traffic system.
Researchers at the University of Sussex create a highly conductive paint coating that mimics the network spread of a virus through 'explosive percolation.' This serendipitous discovery enables the development of affordable, scalable nanomaterials with vast applications in Electric Vehicle materials and wearable health monitors.
Researchers develop efficient immunization strategy using limited network information, significantly reducing disease spread for small groups of individuals. By focusing on the most connected nodes, they achieve a lower fraction of nodes needed to stop the epidemic, highlighting the potential for effective control measures.
The researchers used confocal microscopy to analyze the complete gelation process in real time with single particle resolution. They found that the point of solidity appearance corresponds to the point of isotropic percolation of isostatic structures, which is directly linked to mechanical stability.
A new dynamic dependency framework, developed by Bar-Ilan University researchers, can capture interdependent and competitive interactions between dynamic systems. This framework provides a powerful tool for studying synchronization and spreading processes in multilayer networks with interacting layers.
Researchers at the University of California San Diego discovered that bacterial communities employ percolation theory to effectively communicate over long distances. This strategy allows cells to signal each other and maintain a balanced community by regulating growth and resource distribution.
A study by Dartmouth College reveals that the West Greenland Ice Sheet melted at a dramatically higher rate over the last twenty years than at any other time in the modern record. The researchers attribute this unprecedented ice loss to a combination of specific weather patterns and an additional long-term warming trend associated with...
A new mathematical framework explains how rare events can cause major disruptions in complex networks like power grids and ecological systems. The framework correctly captures the effect of rare damage configurations observed in real networks, revealing discontinuous percolation transitions that lead to abrupt collapses.
Researchers have discovered a new mechanism by which Earth's atmosphere breaks down meteors as they approach the planet. The new finding reveals that air particles penetrating the meteor's porous interior can create pockets of high pressure, ultimately leading to the rock's explosion in the upper atmosphere.
Melt drainage through percolation continues even with low melt fractions, suggesting all but 1-2% of melt can be drained. This process enables planetesimal core formation.
Scientists propose that molten metal percolates downward through tiny channels in rocks to form a planet's core. This 'trickle-down' theory contradicts earlier experiments suggesting most metals stay trapped in isolated pores.
Researchers have solved a century-old question regarding the nature of turbulence's onset, finding it to be a directed percolation phase transition. This behavior is similar to that seen in epidemic spreading in populations, where fluctuations are characterized by critical exponents.
A new method developed by Filippo Radicchi could improve the resilience of critical systems like air traffic control networks and power grids. The framework analyzes 'percolation' in a system, measuring disruption caused by small breakdowns.
A new Stanford study proposes that an iron melt network played a key role in forming the early Earth's internal structure, lending credence to a theory first proposed nearly half a century ago. The team recreated ancient Earth conditions and found evidence that percolation, previously thought impossible, could have helped funnel molten...
Scientists at NIST made precise measurements of nanotube concentrations for transparent conducting sheets, revealing the importance of uniform length for high-performance films. The study validated one theory, showing that longer nanotubes become electrically conducting at lower concentrations.