### What does **phase space** mean?

# Definitions for phase space

phase space

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **phase space**.

### Princeton's WordNet

phase spacenoun

(physics) an ideal space in which the coordinate dimensions represent the variables that are required to describe a system or substance

"a multidimensional phase space"

### Wiktionary

phase spacenoun

The topological space in which each point represents a possible state of a system.

### Wikipedia

phase space

Phase space is a concept in physics, frequently applied in thermodynamics, statistical mechanics, dynamical systems, symplectic manifolds and chaos theory.

### ChatGPT

phase space

Phase space, in classical mechanics, is a multidimensional space in which each axis corresponds to one of the coordinates required to specify the state of a physical system, all the positions and momenta of the particles being considered. It allows a complete description of the dynamical state of the system at any given point in time. In phase space, a point represents the state of the system and the evolution of the system is represented as a path. The concept is also widely used in quantum mechanics, statistical physics, and other fields.

### Wikidata

Phase space

In mathematics and physics, a phase space is a space in which all possible states of a system are represented, with each possible state of the system corresponding to one unique point in the phase space. For mechanical systems, the phase space usually consists of all possible values of position and momentum variables. The concept of phase space was developed in the late 19th century by Ludwig Boltzmann, Henri Poincaré, and Willard Gibbs. A plot of position and momentum variables as a function of time is sometimes called a phase plot or a phase diagram. Phase diagram, however, is more usually reserved in the physical sciences for a diagram showing the various regions of stability of the thermodynamic phases of a chemical system, which consists of pressure, temperature, and composition. In a phase space, every degree of freedom or parameter of the system is represented as an axis of a multidimensional space; a one-dimensional system is called a phase line, while a two-dimensional system is called a phase plane. For every possible state of the system, or allowed combination of values of the system's parameters, a point is plotted in the multidimensional space. Often this succession of plotted points is analogous to the system's state evolving over time. In the end, the phase diagram represents all that the system can be, and its shape can easily elucidate qualities of the system that might not be obvious otherwise. A phase space may contain a great many dimensions. For instance, a gas containing many molecules may require a separate dimension for each particle's x, y and z positions and momenta as well as any number of other properties.

### Numerology

Chaldean Numerology

The numerical value of phase space in Chaldean Numerology is:

**6**Pythagorean Numerology

The numerical value of phase space in Pythagorean Numerology is:

**3**

## Translations for **phase space**

### From our Multilingual Translation Dictionary

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"phase space." *Definitions.net.* STANDS4 LLC, 2024. Web. 6 Nov. 2024. <https://www.definitions.net/definition/phase+space>.

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