Editing Universality classes
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{{Stub-general}} | |||
{| border="1" | |||
|- | |- | ||
| | | <math>d</math> || <math>n</math> || <math>\sigma</math> || <math>\alpha</math> || <math>\beta</math> || <math>\gamma</math> || class | ||
|- | |- | ||
| || || | | || || || || || || 3-state Potts | ||
|- | |- | ||
| || | | || || || || || ||Ashkin-Teller | ||
|- | |- | ||
| || || | | || || || || || ||Chiral | ||
|- | |- | ||
| | | || || || || || ||Directed percolation | ||
|- | |- | ||
| | | || || || 0 || <math>1/8</math> || <math>7/4</math> || 2D Ising | ||
|- | |- | ||
| || | | || || || 0 || <math>1/8</math> || <math>7/4</math> || 3D Ising | ||
|- | |- | ||
| || || || || || ||Local linear interface | |||
|- | |- | ||
| || | | || || ||0 || <math>1/2</math> || 1 ||Mean-field | ||
|- | |- | ||
| || || | | || || || || || ||Molecular beam epitaxy | ||
|- | |- | ||
| | | || || || || || ||Random-field | ||
|} | |} | ||
==3-state Potts== | ==3-state Potts== | ||
==Ashkin-Teller== | ==Ashkin-Teller== | ||
==Chiral== | ==Chiral== | ||
==Directed percolation== | ==Directed percolation== | ||
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\delta=15 | \delta=15 | ||
</math> | </math> | ||
In three dimensions, the critical exponents are not known exactly. However, [[Monte Carlo | Monte Carlo simulations]] and [[Renormalisation group]] analysis provide accurate estimates <ref name="Campostrini2002">[http://dx.doi.org/10.1103/PhysRevE.65.066127 Massimo Campostrini, Andrea Pelissetto, Paolo Rossi, and Ettore Vicari "25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice", Physical Review E '''65''' 066127 (2002)]</ref>: | In three dimensions, the critical exponents are not known exactly. However, [[Monte Carlo | Monte Carlo simulations]] and [[Renormalisation group]] analysis provide accurate estimates <ref name="Campostrini2002">[http://dx.doi.org/10.1103/PhysRevE.65.066127 Massimo Campostrini, Andrea Pelissetto, Paolo Rossi, and Ettore Vicari "25th-order high-temperature expansion results for three-dimensional Ising-like systems on the simple-cubic lattice", Physical Review E '''65''' 066127 (2002)]</ref>: | ||
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====Susceptibility exponent: <math>\gamma</math>==== | ====Susceptibility exponent: <math>\gamma</math>==== | ||
(final result: <math>\gamma=1</math>) | (final result: <math>\gamma=1</math>) | ||
==Molecular beam epitaxy== | ==Molecular beam epitaxy== | ||
==See also== | |||
*[[Critical exponents]] | |||
==Random-field== | ==Random-field== | ||
== | ==References== | ||
<references/> | <references/> | ||
[[category: Renormalisation group]] | [[category: Renormalisation group]] |