Radiative equilibrium refers to a state in which the energy absorbed by an object or system from incoming radiation is equal to the energy it emits as radiation. In this state, there is no net gain or loss of energy, and the temperature of the object or system remains constant over time. In the context of planetary atmospheres, radiative equilibrium is particularly important for understanding the balance between incoming solar radiation (energy received from the Sun) and outgoing thermal radiation (energy emitted back into space).
Radiative cooling is a natural process by which an object loses heat by emitting infrared radiation. This occurs when the surface of the object absorbs heat from its surroundings or the sun and then emits that energy in the form of thermal radiation. The efficiency of radiative cooling depends on several factors, including the temperature of the object, the ambient temperature, and the object's ability to emit infrared radiation.
Quantum heat engines and refrigerators are devices that operate on the principles of quantum mechanics to convert thermal energy into work or to transfer heat from one body to another, respectively. They seek to exploit quantum phenomena to improve efficiency or performance beyond classical limits. Here’s an overview of both concepts: ### Quantum Heat Engines A **quantum heat engine** is a theoretical model that operates on quantum mechanical principles to convert heat energy into mechanical work.
Pyroelectricity is the property of certain materials to generate an electric charge in response to changes in temperature. This phenomenon occurs due to the alignment of electric dipoles within the material when it is heated or cooled. When the temperature of a pyroelectric material changes, the structural arrangement of its dipoles also changes, which leads to an imbalance of positive and negative charges, creating a measurable voltage.
In a general context, a "process function" can refer to a variety of concepts depending on the field of study, programming context, or specific discipline. Below are a few interpretations of the term across different areas: 1. **In Computer Science/Programming:** - A process function may refer to a function, method, or procedure designed to perform a series of tasks or operations within a program.
The Principle of Minimum Energy, also known as the Principle of Least Action, is a fundamental concept in physics and engineering. It states that a system will naturally evolve toward a state that minimizes its total energy, subject to any constraints. This principle can be applied in various disciplines, including mechanics, thermodynamics, and electromagnetism. In mechanical systems, for example, the principle suggests that the configuration of a mechanical system will settle into a position that requires the least amount of potential and kinetic energy.
Primary energy refers to energy that is available in its natural form and has not yet been subjected to any conversion or transformation processes. This type of energy is found in nature and can be harnessed for use in various applications, such as electricity generation, heating, or transportation. Examples of primary energy sources include: - **Fossil Fuels**: Coal, oil, and natural gas, which are formed from the remains of ancient organisms.
Prigogine's theorem refers to ideas and principles derived from the work of Belgian physicist Ilya Prigogine, who was awarded the Nobel Prize in Chemistry in 1977 for his contributions to the understanding of non-equilibrium thermodynamics. While the term "Prigogine's theorem" doesn't refer to a specific theorem in the traditional sense, Prigogine's work encompasses important concepts related to systems far from equilibrium, self-organization, and dissipative structures.
A pressure-volume (P-V) diagram is a graphical representation used in thermodynamics to illustrate the relationship between the pressure (P) and volume (V) of a system, typically a gas, during various processes. The diagram provides insights into the behavior of gases during expansion, compression, and phase changes. ### Key Features of a P-V Diagram: 1. **Axes**: - The horizontal axis (x-axis) represents volume (V), often in liters or cubic meters.
A pressure-fed engine is a type of rocket engine that utilizes pressurized propellants to deliver fuel and oxidizer to the combustion chamber. In this system, the propellants are stored in tanks under pressure, and this pressure forces the propellants through the engine’s feed lines and into the combustion chamber, where they are ignited to produce thrust.
Planetary equilibrium temperature refers to the theoretical temperature that a planet would achieve when the energy it receives from its star (such as the Sun) is balanced by the energy it radiates back into space. This concept is crucial in understanding a planet's climate and potential habitability.
Phonovoltaics is an emerging field of technology that involves the conversion of sound waves into electrical energy. The concept combines elements of piezoelectricity and photovoltaic technology, akin to how traditional solar panels convert light into electricity. In phonovoltaic systems, materials with piezoelectric properties are utilized to generate electrical voltage when subjected to sound vibrations.
Passive daytime radiative cooling is a technology and concept aimed at achieving cooling effects without the need for energy-intensive active cooling systems like air conditioning. This approach leverages the natural process of thermal radiation to cool surfaces and environments. Here's how it works: 1. **Thermal Radiation**: All objects emit thermal radiation based on their temperature. At daytime, surfaces absorb solar radiation, leading to an increase in temperature. However, they can also radiate infrared heat energy into the sky.
The term "particle number" can refer to different concepts depending on the context in which it is used. Here are a few common interpretations: 1. **In Physics**: Particle number often refers to the quantity of discrete particles, such as atoms, molecules, or subatomic particles (like electrons or protons) in a given system. For instance, in statistical mechanics, the particle number \(N\) might represent the total number of particles in a gas or other physical system.
Overheating in the context of electricity refers to the excessive increase in temperature of electrical components, circuits, or devices beyond their normal operating range. This phenomenon can occur due to various factors, including: 1. **Excessive Current Draw**: When electrical devices draw more current than they are designed to handle, it can cause the components to heat up. This is often referred to as overcurrent.
Non-ideal compressible fluid dynamics refers to the study of fluid flows that do not obey the assumptions of ideal fluid behavior, especially when the fluid's density can change significantly in response to pressure and temperature variations. Unlike ideal fluids, which are assumed to be incompressible and have no viscosity, non-ideal fluids can exhibit complex behaviors influenced by interactions among fluid particles, temperature variations, and pressure effects.
Negative thermal expansion (NTE) is a phenomenon where certain materials contract rather than expand when heated. Unlike most materials, which exhibit a positive thermal expansion coefficient and expand as their temperature increases, materials exhibiting NTE demonstrate a decrease in volume with increasing temperature within certain temperature ranges. This behavior can be attributed to specific structural characteristics of the material at the atomic or molecular level.
In statistical mechanics, the multiplicity function (also referred to as the multiplicity or the number of microstates) describes the number of ways in which a given macrostate can be realized with specific values of macroscopic parameters (such as energy, number of particles, etc.).
The Morse potential, also known as the Morse/Long-range potential, is a mathematical model used to describe the interaction between two atoms or molecules, particularly in the context of diatomic molecules. It provides a more accurate representation of the potential energy of a molecular bond than simpler potentials, such as the harmonic oscillator model.
The Minimum Total Potential Energy Principle is a fundamental concept in variational calculus and structural mechanics. It is used to analyze the stability and equilibrium of mechanical systems. The principle states that for a system in static equilibrium, the total potential energy is at a minimum compared to any other configuration the system may take.

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