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Coulomb gas information


In statistical physics, a Coulomb gas is a many-body system of charged particles interacting under the electrostatic force. It is named after Charles-Augustin de Coulomb, as the force by which the particles interact is also known as the Coulomb force.

The system can be defined in any number of dimensions. While the three-dimensional Coulomb gas is the most experimentally realistic, the best understood is the two-dimensional Coulomb gas. The two-dimensional Coulomb gas is known to be equivalent to the continuum XY model of magnets and the sine-Gordon model (upon taking certain limits) in a physical sense, in that physical observables (correlation functions) calculated in one model can be used to calculate physical observables in another model. This aided the understanding of the BKT transition, and the discoverers earned a Nobel prize in physics for their work on this phase transition.[1]

  1. ^ Kosterlitz, J M; Thouless, D J (12 April 1973). "Ordering, metastability and phase transitions in two-dimensional systems". Journal of Physics C: Solid State Physics. 6 (7): 1181–1203. doi:10.1088/0022-3719/6/7/010. Retrieved 28 July 2023.

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Coulomb gas

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a Coulomb gas is a many-body system of charged particles interacting under the electrostatic force. It is named after Charles-Augustin de Coulomb, as...

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Coulomb barrier

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The Coulomb barrier, named after Coulomb's law, which is in turn named after physicist Charles-Augustin de Coulomb, is the energy barrier due to electrostatic...

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Massless free scalar bosons in two dimensions

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non-interacting, free bosonic CFTs are easily solved exactly. Via the Coulomb gas formalism, they lead to exact results in interacting CFTs such as minimal...

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Coulomb explosion

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remaining, mutually repulsive, nuclei fly apart in a Coulomb explosion. The structure of simple gas phase molecules can be determined by imaging which tracks...

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Rutherford scattering

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Rutherford scattering is the elastic scattering of charged particles by the Coulomb interaction. It is a physical phenomenon explained by Ernest Rutherford...

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Classical XY model

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03810(8),\nu =0.67169(7),\omega =0.789(4)} . Classical Heisenberg model Coulomb gas Goldstone boson Ising model Potts model n-vector model Kosterlitz–Thouless...

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Friction

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understanding of friction was further developed by Charles-Augustin de Coulomb (1785). Coulomb investigated the influence of four main factors on friction: the...

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Disclination

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ISSN 0163-1829. Young, A. P. (15 February 1979). "Melting and the vector Coulomb gas in two dimensions". Physical Review B. 19 (4). American Physical Society...

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Carbon dioxide

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In the gas phase, carbon dioxide molecules undergo significant vibrational motions and do not keep a fixed structure. However, in a Coulomb explosion...

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Degenerate matter

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gas model. Examples include electrons in metals and in white dwarf stars and neutrons in neutron stars.: 436  The electrons are confined by Coulomb attraction...

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Liouville field theory

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functions at some of their poles as Dotsenko–Fateev integrals in the Coulomb gas formalism, and this is how the DOZZ formula was first guessed in the...

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Hexatic phase

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ISSN 0163-1829. Young, A. P. (15 February 1979). "Melting and the vector Coulomb gas in two dimensions". Physical Review B. 19 (4): 1855–1866. Bibcode:1979PhRvB...

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KTHNY theory

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doi:10.1103/PhysRevB.19.2457. Young, P.A. (1979). "Melting and the vector Coulomb gas in two dimensions". Physical Review B. 19 (4): 1855–1866. Bibcode:1979PhRvB...

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Ionization

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Larochelle, S.; Talebpour, A.; Chin, S. L. (1998). "Coulomb effect in multiphoton ionization of rare-gas atoms" (PDF). Journal of Physics B: Atomic, Molecular...

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Pearl vortex

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At distances shorter than the Pearl's length, vortices behave like a Coulomb gas (1/ r {\displaystyle r} repulsive force). Pearl, Judea (1964). "Current...

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Griffiths inequality

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{2}})\approx 0.88~.} There exists a version of the Ginibre inequality for the Coulomb gas that implies the existence of thermodynamic limit of correlations. Other...

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Electric current

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ampere (sometimes called an "amp", symbol A), which is equivalent to one coulomb per second. The ampere is an SI base unit and electric current is a base...

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Phase Transitions and Critical Phenomena

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Theory of Interfaces', by D. Jasnow. Volume 11: (1987) ISBN 0122203119 'Coulomb Gas Formulation of Two-Dimensional Phase Transitions', by B. Nienhus. 'Conformal...

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Oil platform

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10) Sub-sea completion and tie-back to host facility (deepest: Shell's Coulomb tie to NaKika 2004, 2,307 m/ 7,570 ft) (Numbered from left to right; all...

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GW approximation

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(unscreened) Coulomb interaction scales as 1 / r s {\displaystyle 1/r_{s}} (simply the inverse of the typical separation) The electron gas dielectric function...

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Elementary charge

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elementary charge is exactly defined as e {\displaystyle e} = 1.602176634×10−19 coulombs, or 160.2176634 zeptocoulombs (zC). Since the 2019 redefinition of SI base...

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