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This research investigates the fully frustrated hypercubic model's behavior in infinite dimensions, focusing on glass transitions and aging effects.

January 21, 1995Journal of Physics A Mathematical and GeneralOpen Access

The fully frustrated hypercubic model is glassy and aging at large D

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This research investigates the fully frustrated hypercubic model's behavior in infinite dimensions, focusing on glass transitions and aging effects.
Analyzed the fully frustrated hypercubic cell in an infinite dimensional mean-field framework.
Utilized replica theory to explore dynamic behavior across different cases, including Ising and XY.
Examined Hamiltonian dynamics under deterministic models without frozen disorder.
In the Ising case, the system undergoes a glass transition characterized by aging effects at lower temperatures.
The XY case shows no phase transition; the system remains a paramagnet at all temperatures.
The random orthogonal model adequately describes the dynamics during the glass transition.

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Implication

Randomized analysis reveals glass transition behavior in Ising systems and aging in high-dimensional models, indicating complex dynamics without quenched disorder.

Cite This Study

Marinari et al. (1995) studied this question.

synapsesocial.com/papers/6a1bfef627b545b111a951a3 https://doi.org/10.1088/0305-4470/28/2/010

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Implication

Randomized analysis reveals glass transition behavior in Ising systems and aging in high-dimensional models, indicating complex dynamics without quenched disorder.

The fully frustrated hypercubic model is glassy and aging at large D

Key Points

Discussion

Implication

Cite This Study

The fully frustrated hypercubic model is glassy and aging at large D

Key Points

Discussion

Implication

Cite This Study

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