concept

potential

A function describing the energy of a field as a function of its value, determining its dynamics.
15 related articles

Description

In physics, a potential is a scalar function whose value at each point in space (or in a field's configuration space) encodes the energy associated with that configuration. For a field, the potential determines how the field evolves: particles or field values tend to move toward lower potential, much like a ball rolling downhill. The concept is central to classical mechanics, electromagnetism, and quantum field theory, where it appears as the 'potential energy landscape' that shapes dynamics.

History

The concept was formalized by Lagrange and Hamilton in the 18th–19th centuries for mechanics, and later extended to fields by Faraday and Maxwell in electromagnetism. The modern field-theoretic treatment emerged with quantum mechanics in the 1920s.

How it works

Mathematically, the force or field strength is derived from the gradient of the potential — the steeper the potential, the stronger the push. In field theory, the potential is a function of the field's value, and its minima correspond to stable states (vacuum states). The shape of the potential — whether it has a single well, multiple wells, or a flat plateau — determines the possible phases and excitations of the system.

In practice

Potentials are used to design particle accelerators (electromagnetic potentials guide beams), to model chemical reactions (potential energy surfaces), and to understand phase transitions in condensed matter physics.

Fun fact

The Higgs mechanism — which gives mass to elementary particles — works because the Higgs field's potential has a 'Mexican hat' shape, with a ring of minima that breaks symmetry.

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Related articles · 15

Biological Physics2026-08-022 minarXiv:2608.01143express
Protein Folding as a Side Effect of Function
A protein chain folds into a working tool in a fraction of a second, and almost never makes a mistake. For a long time, it was thought that evolution specifically polishes amino acid sequences so that a protein not only works but also easily finds its unique shape. New work turns this idea on its head.
General Relativity2026-08-021 minarXiv:2608.01165express
How Quantum Chaos Gives Rise to Inflation
The early universe resembled an overheated cauldron, seething with quantum fluctuations (random bursts of energy). In this chaos, like steam over boiling water, a special field, the scalar field, condensed. It became the 'engine' that made space expand at an incredible rate. This process is called inflation.
Quantum Physics2026-08-012 minarXiv:2608.00468express
Where Charge Lives
Electric charge is a slippery thing. You can measure how much there is in the entire universe or in a single particle, but try to point your finger and say, 'Right here, in this cubic centimeter, there is exactly this much charge right now,' and you hit a fundamental wall. The issue is that total charge, which physicists denote by the letter Q, is nonlocal.
Cosmology2026-07-103 minarXiv:2607.09432
General Relativity2026-06-281 minarXiv:2606.29401express
A Charged Particle in a Wormhole: A Force That Changes Direction
A wormhole is a tunnel connecting two distant regions of the universe. If such a wormhole existed and were traversable, a particle inside it would feel not only gravity but also a force from its own electric field. This force depends on how spacetime is curved around it.
Quantum Physics2026-06-261 minarXiv:2606.28640express
Vortices in the Quantum World
A regular object moves along a predictable path, like a ball. In the quantum world, a particle is smeared into a probability cloud. To find order in this fog, scientists have recast Schrödinger's equation in the language of flowing water.
Chaotic Dynamics2026-06-122 minarXiv:2606.14174express
Finding Order in Chaos Without Knowing the Rules of the Game
A handful of sand falls onto a table: each grain rolls down until it rests in a hollow. That's how a potential works: the table's surface tells the grains where to go. But in a river with whirlpools, there's no single basin everything flows into. Water swirls, returns, and meanders. For such systems, the usual map of 'pits and hills' doesn't apply.
Cosmology2026-06-082 minarXiv:2606.09994express
The Cosmos Twists Light
The oldest light in the universe has been traveling toward us for nearly 14 billion years. It was born when the cosmos first became transparent, and since then its plane of oscillation has been rotating ever so slightly. The cause is an invisible ocean permeating all of space: the dark energy field that makes the universe expand faster and faster.
Cosmology2026-05-252 minarXiv:2605.26116express
Dark Energy from a Single Field: Why It's Harder Than It Looks
The universe is expanding, and its history features two puzzling episodes that don't fit into a simple picture. The first is a brief period in its youth when everything flew apart faster than expected, as if someone had floored the gas pedal. The second is today's acceleration, as if the same pedal were pressed again, but more gently.
General Relativity2026-05-252 minarXiv:2605.26259express
Dark Energy That Changed Its Mind
An inflating balloon starts out slowly, then suddenly expands faster and faster, as if someone is pumping it up from inside. That's roughly how our universe behaves: galaxies are receding with acceleration. The culprit behind this acceleration is called dark energy.
General Relativity2026-05-112 minarXiv:2605.11292express
The Universe as a Pendulum: From Inflation to Ordinary Expansion
A pendulum chooses how to swing on its own. If you give it a strong push, it quickly returns to a smooth rhythm. If you hold it at its extreme position, it will stay there, but as soon as you let go, it resumes its usual motion.
General Relativity2026-04-272 minarXiv:2604.24867express
Stellar Tuning: Why Gravity Suddenly Changes Its Character
If you drop an ice cube into a glass of water, it will float until it melts. But if you cool the water slowly, at some point it all freezes at once: that's a first-order phase transition: abrupt, with a clear boundary.
HEP Theory2026-04-241 minarXiv:2604.22248express
Magnetic Field Makes Emptiness Bloom
An invisible film, a quantum field, is stretched over a rubber bagel. While the bagel is small, the film stays taut and doesn't sag anywhere: the vacuum remains empty. But once you stretch the bagel to a certain size, a dent spontaneously appears in the film — the field starts to be felt at every point. This dent is not random.
Stellar2026-04-151 minarXiv:2604.13585express
Sunspots as a Mirror of the Sun's Interior
Magnetic fields on the surface of the Sun appear as dark spots and bright faculae. But they are born deep inside, where flows of hot gas act like a giant dynamo. The question is whether sunspots on the surface can predict what will happen inside the star years from now. The authors applied a mathematical theorem similar to the rule linking the area of a shape to its boundary.
Liquid Crystal Steers a Particle Along a Route
In a thin layer of liquid crystal (a substance that flows like a liquid but has molecules arranged in order, as in a solid) vortices smaller than the thickness of a human hair are born. These vortices resemble tiny spinning tops: they can move without breaking apart and behave almost like real particles.