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Another class of machine-learned interatomic potential is the Gaussian approximation potential (GAP), [87] [88] [89] which combines compact descriptors of local atomic environments [90] with Gaussian process regression [91] to machine learn the potential energy surface of a given system.
The effective potential (also known as effective potential energy) combines multiple, perhaps opposing, effects into a single potential. In its basic form, it is the sum of the 'opposing' centrifugal potential energy with the potential energy of a dynamical system .
This potential function is only valid when >, as the potential will decay towards as . This is corrected by identifying r m a x {\displaystyle r_{max}} , which is the value of r {\displaystyle r} at which the potential is maximized; when r ≤ r m a x {\displaystyle r\leq {r_{max}}} , the potential is set to infinity.
The Lennard-Jones potential is a simple model that still manages to describe the essential features of interactions between simple atoms and molecules: Two interacting particles repel each other at very close distance, attract each other at moderate distance, and eventually stop interacting at infinite distance, as shown in the Figure.
Potential energy is the energy by virtue of an object's position relative to other objects. [6] Potential energy is often associated with restoring forces such as a spring or the force of gravity. The action of stretching a spring or lifting a mass is performed by an external force that works against the force field of the potential.
A thermodynamic potential (or more accurately, a thermodynamic potential energy) [1] [2] is a scalar quantity used to represent the thermodynamic state of a system.Just as in mechanics, where potential energy is defined as capacity to do work, similarly different potentials have different meanings.
The gravitational potential (V) at a location is the gravitational potential energy (U) at that location per unit mass: =, where m is the mass of the object. Potential energy is equal (in magnitude, but negative) to the work done by the gravitational field moving a body to its given position in space from infinity.
Classical mechanics explores concepts such as force, energy, and potential. [3] Force and potential energy are directly related. A net force acting on any object will cause it to accelerate. As an object moves in the direction of a force acting on it, its potential energy decreases. For example, the gravitational potential energy of a ...