monte carlo simulation

A tennis ball hits a sandcastle. The castle crumbles, but by where and how far the grains of sand fly, you can guess the castle's shape. That's roughly how the method of exploding proteins with X-rays works. The laser beam is so powerful that the protein molecule loses electrons and flies apart into charged fragments, like the castle under the ball's impact.

The Universe is not silent: it is filled with a continuous gravitational-wave hum. In a decade, the LISA space observatory will tune its "ears" to the millihertz range, and the richest source will be our Galaxy — tens of thousands of white dwarf pairs whirling in a frantic dance.

When a building collapses, steel rebar turns into a chaotic magnetic compass. Entropy, a measure of disorder, increases, but it's this very disorder that points to voids where people might be.

In a hall with a hundred instruments, a symphony is playing, but the conductor is hidden behind a screen. The scientist hears only the notes played by the instruments and wants to understand who sets the rhythm. Scientific data resembles such an orchestra: we record instrument readings but do not see the hidden mechanisms that drive them.

Cosmic rays are particles from deep space, accelerated to colossal energies. Smashing into the atmosphere, they trigger particle showers with radio waves. These waves are fingerprints, revealing the energy and direction of the intruder.

When matter is compressed to pressures of millions of atmospheres and heated to thousands of degrees, it is neither solid nor gas. This warm dense state is like the interiors of giant planets or the moment of a meteorite impact. You can't look inside directly, but you can shine X-rays and see how they scatter off electrons.

The helium-5 nucleus is like an overtightened string: touch it, and it falls apart into helium-4 and a neutron. Catching such a decay and measuring its rate is no easy task. Standard calculation methods stumble over mathematical noise. The researchers took a reliable approach to describing nuclear forces and added a clever trick — analytic continuation.

A seven-metal alloy is like a team where every player is pulling the blanket their own way. Atoms of iron, cobalt, nickel, aluminum, titanium, tantalum, and vanadium can either fall into a strict pattern or scatter into random positions. This determines whether the material will be as strong as steel or as light as aluminum.

In a tropical forest, the dry season gives way to the rainy season, and with the weather, the rules of life change: some animals go into hibernation, while others come out of hiding. Likewise, in complex systems, from climate to economics, the links between processes are not set in stone. They depend on a hidden "regime" that itself switches from time to time.