German-built simulations show black holes in an eccentric orbit

German-built simulations show black holes in an eccentric orbit

Numerical simulation representing the curvature of spacetime during the merger of the two black holes. Image: AG Bernuzzi/Universität JenaA research team from Jena (Germany) and Turin (Italy) has reconstructed the origin of an unusual gravitational wave signal. The signal GW190521 may result from the merger of two enormous black holes that captured each other in their gravitational field and then collided while spinning around each other in a rapid, eccentric motion. 

When black holes collide in the universe, the clash shakes up space and time: the amount of energy released during the merger is so great that it causes space-time to oscillate, similar to waves on the surface of the water. These gravitational waves spread out through the entire universe and can still be measured thousands of light years away, as was the case on May 21, 2019, when the two gravitational wave observatories LIGO (USA) and Virgo (Italy) captured such a signal. Named GW190521 after the date of its discovery, the gravitational wave event has since provoked discussion among experts because it differs markedly from previously measured signals.

The signal had initially been interpreted to mean that the collision involved two black holes moving in near-circular orbits around each other. “Such binary systems can be created by a number of astrophysical processes,” explains Prof. Sebastiano Bernuzzi, a theoretical physicist from the University of Jena, Germany. Most of the black holes discovered by LIGO and Virgo, for example, are of stellar origin. “That means they are the remnants of massive stars in binary star systems,” adds Bernuzzi, who led the current study. Such black holes orbit each other in quasi-circular orbits, just as the original stars did previously.

One black hole captures a second

“GW190521 behaves significantly differently, however,” explains Rossella Gamba. The lead author of the publication is doing her doctorate in Jena Research Training Group 2522 and is part of Bernuzzi’s team. “Its morphology and explosion-like structure are very different from previous observations.” So, Rossella Gamba and her colleagues set out to find an alternative explanation for the unusual gravitational wave signal. Using a combination of state-of-the-art analytical methods and numerical simulations on supercomputers, they calculated different models for cosmic collision. They came to the conclusion that it must have occurred on a strongly eccentric path instead of a quasi-circular one. A black hole initially moves freely in an environment that is relatively densely filled with matter and, as soon as it gets close to another black hole, it can be “captured” by the other’s gravitational field. This also leads to the formation of a binary system, but here the two black holes do not orbit in a circle, but move eccentrically, in tumbling motions around each other.

“Such a scenario explains the observations much better than any other hypothesis presented so far. The probability is 1:4300,” says Matteo Breschi, doctoral student and co-author of the study, who developed the infrastructure for the analysis. And postdoctoral researcher Dr. Gregorio Carullo adds: “Even though we don’t currently know exactly how common such dynamic movements by black holes are, we don’t expect them to be a frequent occurrence.” This makes the current results all the more exciting, he adds. Nevertheless, more research is needed to clarify beyond doubt the processes that created GW190521.

Teamwork in the Research Training Group

For the current project, the teams in Turin and Jena (as part of the German Research Foundation-funded Jena Research Training Group 2522 “Dynamics and Criticality in Quantum and Gravitational Systems”) developed a general relativistic framework for the eccentric merger of black holes and verified the analytical predictions using simulations of Einstein’s equations. For the first time, models of dynamic encounters were used in the analysis of gravitational wave observation data.

Surrey’s MD simulations of enzymes lead to insights into DNA mutations caused by quantum tunneling

Surrey’s MD simulations of enzymes lead to insights into DNA mutations caused by quantum tunneling

Enzymes, which are crucial to controlling how cells replicate in the human body, could be the very ingredient that encourages DNA to spontaneously mutate – causing potentially permanent genetic errors, according to new research from the University of Surrey.  

Using state-of-the-art quantum chemical calculations, researchers from Surrey’s Quantum Biology Doctoral Training Centre have found that the part of the process by which  DNA replicates itself happens at speeds 100 times faster than previously predicted. This finding sheds new light on the assumed theory that suggests quantum effects would not survive long enough to be impacted by the replication process. 

Max Winokan, a co-author of the study from the University of Surrey, said: “We always thought that quantum mechanics would suffer in a biological environment. However, it was fascinating to find that the mutations caused by quantum tunneling are more stable due to the action of the enzyme, helicase. 

“While others have painted helicase as a gatekeeper to quantum mutation, our research suggests that the enzyme is deeply intertwined with the formation of these mutations.” 

This famous double helix structure gives DNA its remarkable stability, along with its pairing rules between the genetic letters on opposite strands. Normally, A always binds to T, and G always binds to C due to the different structures of these biomolecules and the different number of hydrogen bonds formed between these base pairs. The protons (nuclei of hydrogen atoms) forming such bonds occasionally transfer across them to form rare states known as tautomers. 

When a cell begins to copy itself, it must undergo DNA replication, in which the first step is the separation of the two DNA strands so that each can be used as a template for a new DNA. The strand separation is enabled by a type of enzyme called a ‘helicase’, which binds to one of the DNA strands and pulls it through itself, thereby forcing apart the DNA. Potential mutant DNA bases must survive this process to stand a chance of causing permanent genetic errors.  

However, it was previously thought that the helicase action was too slow. As a result, any spontaneous point mutation would have found its way back to its natural and more stable position when the strands are separated. The new research starts to explain how quantum mechanical effects may hold the key to the secrets of genetic mutations and their many consequences for life on Earth. Additionally, this new report finds that such a mechanical separation in fact stabilizes the mutated forms of DNA. 

Dr Marco Sacchi from the University of Surrey, who leads the computational work for this study, says:  

“There is little understanding of the role of quantum effects in DNA damage and genetic mutations. We believe that we can shed light on the elusive mechanism at the origin of DNA errors only by integrating quantum physics and computational chemistry.” 

Professor Jim Al-Khalili, Co-Director of the Quantum Biology Doctoral Training Centre at the University of Surrey, said: 

“What I find most exciting is that this work brings together cutting-edge research across disciplines: physics, chemistry, and biology, to answer one of the most intriguing questions in science today, and the University of Surrey is fast becoming a world leader in this field where exciting results are emerging.”  

Japanese researchers use supercomputer simulations to discover new crystal structures of hydride compounds showing high-temperature superconductivity

There has been a lot of progress and development in the superconductivity (zero electrical resistance) front owing to its wide range of applications in MRI machines, particle accelerators, and low-loss power cables. However, its widespread use has been limited due to the extremely low temperatures required to maintain the superconducting state. Therefore, over the last decade, a lot of researchers have focused on achieving what is known as “high-temperature superconductivity” or superconductivity above liquid nitrogen temperature.

Recently, metal hydrides have emerged as an ideal candidate for high-temperature, or high-TC superconductivity (Tc being the transition temperature) since they maintain metallicity and superconductivity at relatively lower pressures. Amongst these, ternary hydrides, which are made of two elements and hydrogen, have shown superconductivity at room temperatures under high pressure, implying lower cooling costs. In particular, ternary hydrides of lanthanum (La) and yttrium (Y) have exhibited superconductivity at around 253 K.

Now, a group of researchers from Japan has further investigated the superconductivity and stability of La, Y, and cerium (Ce) hydrides. This study, led by Prof. Ryo Maezono from the Japan Advanced Institute of Science and Technology (JAIST), was made available online on October 5, 2022, and subsequently published in Volume 28 of the journal Materials Today Physics on November 1, 2022. The research group also included Associate Professor Kenta Hongo and Assistant Professor Kousuke Nakano from JAIST.

“By exploiting supercomputer simulations, it is possible to predict whether an unknown crystal structure exhibits thermodynamic and lattice-dynamic stability. Our group has been working with metal hydrides for a while now and this is the fourth result with Y/Ce and La/Ce compounds following the preceding findings with La/Y (2021.12.07), Y/Mg (2022.01.18), and Mg/Sc (2022.02.08). Such new findings are being launched one after another,” says Prof. Maezono, explaining the team’s motivation behind the study.

In principle, increasing the number of elemental combinations in simulations from two to three opens up new possibilities for high-TC superconductors. But, the number of combinations becomes too large for such simulations to be feasible. To tackle this, the team used an evolutionary algorithm-based crystal structure prediction (CSP) method to predict the crystal structure as well as the quantum ESPRESSO code to perform phonon dispersion and electron-phonon coupling (EPC) of the ternary hydrides. Further, the Eliashberg function and the Allen-Dynes modified McMillan formula was used to predict the superconducting critical temperature (TC).

Calculations revealed the existence of thermodynamically stable phases in the Y–Ce–H and La–Ce–H systems in the 100-400 gigapascals (GPa) pressure range. Amongst these, P4/mmm-YCeH8, P6m2-YCeH18, R3m-YCeH20, P4/mmm-LaCeH8, and R3m-LaCeH20 showed lattice-dynamic stabilities and resistance to decomposition at high temperatures. The EPC calculations and the Allen-Dynes-modified McMillan formula predicted high-temperature superconductivity for three of these phases. The TC for R3m-YCeH20, R3m-LaCeH20, and P6m2-YCeH18 was calculated to be 122 K at 300 GPa, 116 K at 250 GPa, and 173 K at 150 GPa, respectively. Additionally, the team found that the pressure for stabilizing P6m2-YCeH18 could be lowered to 150 GPa, an accessible condition for its synthesis.

“By combining ab initio simulations with data science in this manner, we can accelerate the development of materials that can achieve power and energy efficiency via superconductivity. This would lead to the realization of a more energy-efficient and sustainable society,” concludes Prof. Maezono.

Indeed, we could be seeing Y–Ce–H and La–Ce–H systems used as high-temperature superconductors pretty soon!

The universe's stars put down to earth (photomontage): The Helmholtz International Beamline for Extreme Fields (HIBEF) at the European XFEL is used to create warm dense matter in the lab to study the composition of stars and planets. Using the new simulation method, physicists can make reliable predictions for future experiments.
The universe's stars put down to earth (photomontage): The Helmholtz International Beamline for Extreme Fields (HIBEF) at the European XFEL is used to create warm dense matter in the lab to study the composition of stars and planets. Using the new simulation method, physicists can make reliable predictions for future experiments.

Germany's HZDR extends the QMC method to gain insights into planets, stars

Using a simulation method based on random numbers scientists were able to describe the properties of warm dense hydrogen as accurately as never before

Finding out the properties of quantum systems that are made of many interacting particles is still a huge challenge. While the underlying mathematical equations are long known, they are too complex to be solved in practice. Breaking that barrier most probably would lead to a plethora of new findings and applications in physics, chemistry, and the material sciences. Researchers at the Center for Advanced Systems Understanding (CASUS) at Helmholtz-Zentrum Dresden-Rossendorf (HZDR) have now taken a major step forward by describing so-called warm dense hydrogen – hydrogen under extreme conditions like high pressures – as accurately as never before. The scientists’ approach, based on a method that puts random numbers to use, can for the first time solve the fundamental quantum dynamics of the electrons when many hydrogen atoms interact under conditions usually found in planet interiors or fusion reactors (Physical Review Letters, DOI: 10.1103/PhysRevLett.129.066402).

Hydrogen is the most abundant element in the universe. It is the fuel that powers the stars including our sun and it constitutes the interior of planets like our solar system’s gas giant Jupiter. The most common form of hydrogen in the universe is not the color- and odorless gas nor the hydrogen-containing molecules like water that are well-known on earth. It is the warm dense hydrogen of stars and planets – extremely compressed hydrogen that is in certain cases even conducting electricity as metals do. Warm dense matter research studies matter under conditions such as very high temperatures or pressures commonly found everywhere in the universe except for the surface of the earth where they do not occur naturally.

Simulation methods and their limits

In trying to elucidate the characteristics of hydrogen and other matter under extreme conditions, scientists heavily rely on simulations. A widely used one is called density functional theory (DFT). Despite its success, it has fallen short to describe warm dense hydrogen. The main reason is that correct simulations require precise knowledge of the interaction of electrons in warm dense hydrogen. But this knowledge is missing and scientists still have to rely on approximations of this interaction, leading to incorrect simulation results. Due to this knowledge gap, it is not possible, for example, to simulate the heat-up phase of inertial confinement fusion (ICF) reactions correctly. Removing this roadblock could significantly advance ICF, one of two major branches of fusion energy research, to become a much-needed zero-carbon power generation technology.

In the new publication, lead author Maximilian Böhme, Dr. Zhandos Moldabekov, Young Investigator Group Leader Dr. Tobias Dornheim (all CASUS-HZDR), and Dr. Jan Vorberger (Institute of Radiation Physics-HZDR) showed for the first time that properties of warm dense hydrogen can be described very precisely with so-called Quantum Monte Carlo (QMC) simulations. “What we did was to extend a QMC method called path-integral Monte-Carlo (PIMC) to simulate the static electronic density response of warm dense hydrogen,” says Böhme who is pursuing a doctorate with his work at CASUS. “Our method does not rely on the approximations previous approaches suffered from. It instead directly computes the fundamental quantum dynamics and therefore is very precise. When it comes to scale, however, our approach has its limits as it is computationally intense. Even though relying on the largest supercomputers, we so far can only handle particle numbers in the double-digit range.”

Higher scales – and still precise

The implications of the new method could be far-ranging: Combining PIMC and DFT cleverly could result in benefiting both from the accuracy of the PIMC method and the speed and versatility of the DFT method – the latter one being by far less computationally intense. “So far scientists were poking around in the fog to find reliable approximations for electron correlations in their DFT simulations,” says Dornheim. “Using the PIMC results for very few particles as a reference they now can tune the settings of their DFT simulations until the DFT results match the PIMC results. With the improved DFT simulations, we should be able to yield exact results in systems of hundreds to even thousands of particles.”

Adapting this approach, scientists could significantly enhance DFT which will result in improved simulations of the behavior of any kind of matter or material. In fundamental research, it will allow predictive simulations that experimental physicists need to compare to their experimental findings from large-scale infrastructures like the European X-Ray Free-Electron Laser Facility (European XFEL) near Hamburg (Germany), the Linac Coherent Light Source (LCLS) at the National Accelerator Laboratory in Menlo Park or the National Ignition Facility (NIF) at Lawrence Livermore National Laboratory in Livermore (both USA).

Speaking more specifically about hydrogen, the work of Böhme and his colleagues could potentially contribute to nailing down the details of how warm dense hydrogen becomes metallic hydrogen, a new phase of hydrogen studied intensively both by experiments and simulations. Generating metallic hydrogen experimentally in the lab could enable very interesting applications in the future.

The study of the sound speed has revealed that heavy neutron stars have a stiff mantle and a soft core, while light neutron stars have a soft mantle and a stiff core – much like different chocolate pralines.  CREDIT Peter Kiefer & Luciano Rezzolla
The study of the sound speed has revealed that heavy neutron stars have a stiff mantle and a soft core, while light neutron stars have a soft mantle and a stiff core – much like different chocolate pralines. CREDIT Peter Kiefer & Luciano Rezzolla

Goethe University Frankfurt's neutron star structure models show more than one million equations of state

So far, little is known about the interior of neutron stars, those extremely compact objects that can form after the death of a star: the mass of our sun or even more is compressed into a sphere with the diameter of a large city. Since their discovery more than 60 years ago, scientists have been trying to decipher their structure. The greatest challenge is to simulate the extreme conditions inside neutron stars, as they can hardly be recreated on Earth in the laboratory. There are therefore many models in which various properties – from density and temperature – are described with the help of so-called equations of state. These equations attempt to describe the structure of neutron stars from the stellar surface to the inner core.

Now physicists at Goethe University Frankfurt in Germany, have succeeded in adding further crucial pieces to the puzzle. The working group led by Prof. Luciano Rezzolla at the Institute of Theoretical Physics developed more than a million different equations of state that satisfy the constraints set by data obtained from theoretical nuclear physics on the one hand, and by astronomical observations on the other. When evaluating the equations of state, the working group made a surprising discovery: “Light” neutron stars (with masses smaller than about 1.7 solar masses) seem to have a soft mantle and a stiff core, whereas “heavy” neutron stars (with masses larger than 1.7 solar masses) instead have a stiff mantle and a soft core. "This result is very interesting because it gives us a direct measure of how compressible the center of neutron stars can be," says Prof. Luciano Rezzolla, "Neutron stars apparently behave a bit like chocolate pralines: light stars resemble those chocolates that have a hazelnut in their center surrounded by soft chocolate, whereas heavy stars can be considered more like those chocolates where a hard layer contains a soft filling."

Crucial to this insight was the speed of sound, a study focus of Bachelor's student Sinan Altiparmak. This quantity measure describes how fast sound waves propagate within an object and depends on how stiff or soft the matter is. Here on Earth, the speed of sound is used to explore the interior of the planet and discover oil deposits.

By supercomputer modeling the equations of state, the physicists were also able to uncover other previously unexplained properties of neutron stars. For example, regardless of their mass, they very probably have a radius of only 12 km. Thus, they are just as large in diameter as Goethe University’s hometown Frankfurt. Author Dr. Christian Ecker explains: "Our extensive numerical study not only allows us to make predictions for the radii and maximum masses of neutron stars but also to set new limits on their deformability in binary systems, that is, how strongly they distort each other through their gravitational fields. These insights will become particularly important to pinpoint the unknown equation of state with future astronomical observations and detections of gravitational waves from merging stars."

So, while the exact structure and composition of matter inside neutron stars continue to remain a mystery, the wait until its discovery can certainly be sweetened with a chocolate or two.