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Understanding Atomic Transitions from Liquid to Solid

Scientists use algorithms to study how atoms change states, like liquid to ice.

Lars Dammann, Richard Kohns, Patrick Huber, Robert H. Meißner

― 4 min read


Atoms: From Liquid to Atoms: From Liquid to Solid States transitions in materials. Algorithms enhance our grasp of atomic
Table of Contents

When you boil water, it changes from liquid to steam. But what if we could get into the nitty-gritty of how water freezes into ice? Understanding how things change states at the tiny atomic level can be quite a task, but scientists really want to crack that mystery! Imagine, for a second, that atoms are like tiny Lego blocks. They can stack together in different ways to form different structures. That’s basically what’s happening when we look at how liquids turn into solids.

The Challenge of Simulating Solids

Here's the kicker: to simulate solids using computers, we need to know what the atomic structure should look like before we even start. That’s a bit like trying to bake a cake without knowing the recipe. Sometimes, we can’t find the right structure or we may not have enough details about how atoms are arranged. So, what do we do? Well, we can sometimes create the needed structure from something that’s less stable, like a messy pile of atoms just hanging out in liquid form.

The Role of Radial Distribution Function (RDF)

Now, there’s a clever little tool called the Radial Distribution Function (RDF). Think of it as a party planner for atoms. It helps us figure out how far apart the atoms are likely to be from one another. But sometimes, interpreting what RDF tells us can be more confusing than trying to find your way out of a maze.

The New Algorithm

To help out with these tough situations, scientists came up with an algorithm. Picture it as a modern-day wizard that can help guide those messy atom parties into more structured ones like ice. This wizard uses the idea of maximum relative entropy, which sounds fancy but really just means making the most of what we know while being fair to the original atom interactions.

How It Works

In simpler terms, this algorithm can help tweak the original model of atoms so that it fits the situation better. It can take information about the desired atomic structure (like from an experimental measurement) and adjust the computer model to make it match. You can think of it like adjusting a suit to fit a person better.

Practical Applications

Water: From Liquid to Ice

The algorithm can be quite a team player in helping understand how liquid water can turn into solid ice. Water has some quirky properties. It can freeze into different types of ice, just like superheroes can have different costumes. This means our algorithm needs to be flexible enough to adapt to those changes. It can suggest the atomic arrangement that leads to Hexagonal Ice, for example, rather than just any old ice cube.

Titanium Dioxide (TiO2)

Let’s not forget about titanium dioxide, a superstar in many industries! It can be used in paint, sunscreen, and even for cleaning up nasty pollutants. Like water, TiO2 can also transform into different forms. Using the clever algorithm, scientists can help it crystallize into its desired forms, rutile or anatase, just by nudging the atoms into place.

The Role of Machine Learning

In this modern age of tech wizardry, machine learning can be like a helpful sidekick. Think of it as the trusty assistant in a superhero duo. By combining machine learning with our algorithm, scientists can train models that can better predict the behavior of atoms based on past data. This makes future predictions about how things will behave far easier-like knowing what to expect during a surprise party.

Helping with Experimentation

The algorithm can also act as a helpful assistant when it comes to interpreting experimental data. When scientists measure atom arrangements, using the algorithm can help them understand and visualize structures that might be hidden or complicated, like piecing together a puzzle without knowing what the final picture looks like.

Conclusion

So there you have it! Scientists are harnessing the power of Algorithms to understand how atoms behave when they transition from liquid to solid. It’s like throwing a fantastic party where everything comes together: the atoms arrange themselves into neat structures, and researchers have better models to predict what will happen next.

Using tricks like the RDF and bringing in the magic of machine learning, the future looks bright for understanding materials at the most basic level. Whether it’s freezing water or creating new materials, there’s plenty of exciting stuff happening in the world of atomic science! So next time you chill a drink or apply sunscreen, just know there’s a whole world of atoms working behind the scenes, and some smart folks are making sure they get along just right!

Original Source

Title: Maximum entropy mediated liquid-to-solid nucleation and transition

Abstract: Molecular Dynamics (MD) simulations are a powerful tool for studying matter at the atomic scale. However, to simulate solids, an initial atomic structure is crucial for the successful execution of MD simulations, but can be difficult to prepare due to insufficient atomistic information. At the same time Wide Angle X-ray Scattering (WAXS) measurements can determine the Radial Distribution Function (RDF) of atomic structures. However, the interpretation of RDFs is often challenging. Here we present an algorithm that can bias MD simulations with RDFs by combining the information of the MD atomic interaction potential and the RDF under the principle of maximum relative entropy. We show that this algorithm can be used to adjust the RDF of one liquid model, e.g., the TIP3P water model, to reproduce the RDF and improve the Angular Distribution Function (ADF) of another model, such as the TIP4P/2005 water model. In addition, we demonstrate that the algorithm can initiate crystallization in liquid systems, leading to both stable and metastable crystalline states defined by the RDF, e.g., crystallization of water to ice and liquid TiO2 to rutile or anatase. Finally, we discuss how this method can be useful for improving interaction models, studying crystallization processes, interpreting measured RDFs, or training machine learned potentials.

Authors: Lars Dammann, Richard Kohns, Patrick Huber, Robert H. Meißner

Last Update: Nov 26, 2024

Language: English

Source URL: https://arxiv.org/abs/2411.17348

Source PDF: https://arxiv.org/pdf/2411.17348

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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