The Quantum Heisenberg model is a theoretical framework in quantum mechanics used to describe and analyze magnetic interactions in systems composed of spins. It is particularly relevant in the study of quantum magnetism and condensed matter physics. The model is named after physicist Werner Heisenberg, who contributed significantly to the understanding of quantum mechanics.
Spin ice is a type of magnetic material that exhibits properties similar to those of water ice, specifically in terms of its low-temperature magnetic order. The name "spin ice" refers to the analogy between the ordering of magnetic moments (spins) in the material and the arrangement of water molecules in ice. In spin ice, the magnetic moments are typically associated with rare earth or transition metal ions that have multiple magnetic states.
Deformation mechanisms refer to the processes and mechanisms by which materials change shape or dimension under applied stress or load. Understanding these mechanisms is crucial in fields such as materials science, engineering, geology, and mechanics, as they help predict how materials will behave under various conditions. Here are some common types of deformation mechanisms: 1. **Elastic Deformation**: This is a reversible process where materials deform when a stress is applied but return to their original shape when the stress is removed.
Grain boundary sliding is a mechanism of deformation that occurs in polycrystalline materials, particularly at elevated temperatures or under high stress conditions. In a polycrystalline material, which consists of many small grains or crystals, the interfaces between these grains are called grain boundaries. During deformation, especially at high temperatures (e.g., during processes like creep), the grains can slide past one another at these boundaries.
A Superlens is a type of lens that has the ability to image objects with a resolution finer than the diffraction limit of conventional lenses. Traditional lenses are limited by the diffraction of light, which imposes a fundamental limit on the smallest detail that can be resolved. This limit is typically on the order of half the wavelength of light used. Superlenses take advantage of phenomena such as metamaterials or plasmonics.
Paleostress inversion is a geological technique used to interpret the stress field that existed in the Earth's crust at a specific point in Earth's history, based on the analysis of structures such as faults, folds, and fractures. This method is particularly useful for understanding the tectonic history of a region, as it allows scientists to reconstruct the historical stress conditions that have influenced rock formations over time.
A **slip line field** is a concept used in the field of continuum mechanics, particularly in the analysis of plasticity and soil mechanics. It is a graphical and mathematical representation of the stress distribution and flow patterns in materials that behave plastically under applied loads. The concept of slip line fields is primarily used to analyze the behavior of materials that yield under stress and exhibit plastic deformation.
The circular mean is a statistical measure that is used when the data being analyzed is circular in nature. This applies to situations where the values wrap around, such as angles (0 to 360 degrees) or times of the day (0 to 24 hours). Because of the cyclical nature of this type of data, standard linear mean calculations can be misleading.
Thick-skinned deformation is a geological term used to describe a type of tectonic deformation that primarily affects the upper crust of the Earth, where the deformation occurs mainly through the movement and interaction of large blocks of lithosphere. This process is typically associated with compressional forces, where the Earth's crust is pushed together, resulting in significant folding, faulting, and the uplift of rock masses.
The alkali-carbonate reaction generally refers to a chemical reaction that occurs between alkali metals or their compounds (like sodium, potassium, or their hydroxides) and carbonate ions (CO₃²⁻). One common context for this reaction is in the production of various chemical compounds, such as when alkali metal hydroxides react with carbon dioxide to form carbonates.
A crack arrestor, also known as a crack arrestor system or crack termination device, is a component or system used in materials and structures to prevent the propagation of cracks or to control the growth of existing cracks. It is employed in various engineering and construction applications to enhance the durability and longevity of materials subjected to stress, fatigue, or environmental factors.
Crack tip opening displacement (CTOD) is a measure used in materials science and fracture mechanics to describe the amount of separation or displacement of the crack faces at the tip of a crack under loading conditions. It is an important parameter in understanding the behavior of materials when they are subjected to stress and is particularly useful in assessing the toughness and resistance to crack propagation in materials.
HTR3D, or High-Throughput RNA-Seq 3D, typically refers to a specialized method or tool used in molecular biology and bioinformatics for analyzing RNA sequencing data in a three-dimensional context. While the specifics can vary based on the particular research context or tool being referenced, it generally involves techniques that enhance the understanding of gene expression patterns and their spatial organization within tissues or cells.
Fractography is the study of fracture surfaces in materials, typically metals, polymers, ceramics, and composites. It involves the detailed examination and analysis of the features and characteristics of fracture surfaces to determine the cause of failure and to gain insights into the material's properties and behaviors. Key aspects of fractography include: 1. **Fracture Surface Features**: Fractographs can reveal various features such as dimples, cleavage planes, river patterns, and fatigue striations.
Intergranular fracture is a type of failure that occurs along the grain boundaries of a material, rather than through the grains themselves. This type of fracture is often associated with certain conditions such as: 1. **Material Structure**: Intergranular fractures are typically seen in crystalline materials where the failure occurs at the interfaces between individual grains.
Microvoid coalescence is a phenomenon observed in materials, particularly metals and polymers, during the process of deformation and fracture. It involves the formation and growth of small voids (or microvoids) within the material's microstructure, which ultimately leads to a coalescence, or merging, of these voids. This mechanism is significant in understanding how materials fail under stress, especially in ductile fracture mechanisms.
Foxing refers to the yellowish-brown spots or discoloration that can appear on paper, particularly in books, due to age, humidity, and exposure to light. This phenomenon is often caused by the breakdown of the paper's fibers, mold, or chemical reactions involving impurities in the paper or ink. Foxing is commonly seen in older books, particularly those that are not stored properly. Collectors often seek to minimize or remove foxing to preserve the integrity and aesthetic of the printed work.
Widespread Fatigue Damage (WFD) is a term primarily used in the context of structural engineering and materials science, particularly in the assessment of aircraft and other structures that experience cyclic loading. WFD refers to the accumulation of microstructural damage in materials due to repeated loading and unloading — a phenomenon known as fatigue. In the aerospace industry, for instance, aircraft components are subjected to numerous cycles of stress during their operational life.
Ablation generally refers to the process of removing or destroying tissue or material through various methods. The term is used in several contexts, each with its own specific meaning: 1. **Medical Context**: In medicine, ablation refers to the removal of tissue, often using techniques such as surgery, laser treatment, radiofrequency, or cryotherapy. For example, cardiac ablation is a procedure used to treat arrhythmias by destroying small areas of heart tissue that cause abnormal electrical signals.
Concrete degradation refers to the deterioration of concrete structures or materials over time due to various environmental, chemical, physical, and mechanical factors. This process can lead to a reduction in the strength, durability, and overall performance of concrete, compromising its integrity and potentially leading to structural failures.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact