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The density of states related to volume V and N countable energy levels is defined as: = = (()). Because the smallest allowed change of momentum for a particle in a box of dimension and length is () = (/), the volume-related density of states for continuous energy levels is obtained in the limit as ():= (()), Here, is the spatial dimension of the considered system and the wave vector.
Forms of matter that are not composed of molecules and are organized by different forces can also be considered different states of matter. Superfluids (like Fermionic condensate) and the quark–gluon plasma are examples. In a chemical equation, the state of matter of the chemicals may be shown as (s) for solid, (l) for liquid, and (g) for gas.
If the density of a 2D liquid is decreased, a 2D gas is formed. This was observed by scanning tunnelling microscopy under ultra-high vacuum (UHV) conditions for molecular adsorbates. [1] 2D liquids are related to 2D solids. If the density of a 2D liquid is increased, the rotational degree of freedom is frozen and a 2D solid is created. [2]
Hexatic state, a state of matter that is between the solid and the isotropic liquid phases in two dimensional systems of particles. Ferroics; Ferroelastic state, a phenomenon in which a material may exhibit a spontaneous strain. Photon molecule: Photons which are connected with each other, attracted by apparent mass while mediating energy transfer.
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Indeed, the definition of a density is motivated by how a measure dx changes under a change of coordinates (Folland 1999, Section 11.4, pp. 361-362). Given a 1-density ƒ supported in a coordinate chart U α, the integral is defined by
In this limit, the gas is classical. As the density increases or the temperature decreases, the number of accessible states per particle becomes smaller, and at some point, more particles will be forced into a single state than the maximum allowed for that state by statistical weighting.
States of matter that are not commonly encountered, such as Bose–Einstein condensates, fermionic condensates, nuclear matter, quantum spin liquid, string-net liquid, supercritical fluid, color-glass condensate, quark–gluon plasma, Rydberg matter, Rydberg polaron, photonic matter, Wigner crystal, [1] Superfluid and time crystal but whose ...