Random energy model (original) (raw)
In the statistical physics of disordered systems, the random energy model is a toy model of a system with quenched disorder, such as a spin glass, having a first-order phase transition. It concerns the statistics of a collection of spins (i.e. degrees of freedom that can take one of two possible values ) so that the number of possible states for the system is . The energies of such states are independent and identically distributed Gaussian random variables with zero mean and a variance of . Many properties of this model can be computed exactly. Its simplicity makes this model suitable for pedagogical introduction of concepts like quenched disorder and replica symmetry.
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| dbo:abstract | Das Random Energy Model (abgekürzt REM) ist ein Spielzeugmodell in der statistischen Physik der ungeordneten Systeme, das 1980 von Bernard Derrida vorgeschlagen wurde. Es beschreibt ein System mit folgenden drei Eigenschaften: * Es gibt Zustände mit Energien . * Die Energien sind gaußverteilt. * Die Energien sind unabhängige Zufallsvariablen. Das Besondere am REM ist, dass es sich exakt lösen lässt, und sich trotz seiner Einfachheit wichtige Konzepte der statistischen Physik wie die (quenched disorder), und (RSB) an ihm studieren lassen. Betrachtet man ein REM-System in einem äußeren Magnetfeld, so findet man einen temperaturabhängigen Phasenübergang zwischen einer eingefrorenen und einer paramagnetischen Phase. (de) In the statistical physics of disordered systems, the random energy model is a toy model of a system with quenched disorder, such as a spin glass, having a first-order phase transition. It concerns the statistics of a collection of spins (i.e. degrees of freedom that can take one of two possible values ) so that the number of possible states for the system is . The energies of such states are independent and identically distributed Gaussian random variables with zero mean and a variance of . Many properties of this model can be computed exactly. Its simplicity makes this model suitable for pedagogical introduction of concepts like quenched disorder and replica symmetry. (en) |
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| rdfs:comment | In the statistical physics of disordered systems, the random energy model is a toy model of a system with quenched disorder, such as a spin glass, having a first-order phase transition. It concerns the statistics of a collection of spins (i.e. degrees of freedom that can take one of two possible values ) so that the number of possible states for the system is . The energies of such states are independent and identically distributed Gaussian random variables with zero mean and a variance of . Many properties of this model can be computed exactly. Its simplicity makes this model suitable for pedagogical introduction of concepts like quenched disorder and replica symmetry. (en) Das Random Energy Model (abgekürzt REM) ist ein Spielzeugmodell in der statistischen Physik der ungeordneten Systeme, das 1980 von Bernard Derrida vorgeschlagen wurde. Es beschreibt ein System mit folgenden drei Eigenschaften: * Es gibt Zustände mit Energien . * Die Energien sind gaußverteilt. * Die Energien sind unabhängige Zufallsvariablen. (de) |
| rdfs:label | Random Energy Model (de) Random energy model (en) |
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