Disordered backgammon model.
Disordered backgammon model.
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无序的双陆棋模型。
DOI：
10.1103/physreve.65.056125
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
F. Ritort
中科院分区：
文献类型：
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作者：
L. Leuzzi;F. Ritort
在本文中，我们考虑了一个完全可解的模型，该模型由于熵势垒而在零温度下表现出玻璃态行为。该模型的新成分是存在与不同弛豫时间尺度相关的不同能量尺度或模式。低温弛豫是通过连续低能模式的部分平衡而发生的。提出了一种根据阈值能量尺度 epsilon* 定义的绝热尺度解决方案。对于这样的解决方案，具有能量 epsilon >> epsilon* 的模式在浴温下达到平衡，具有 epsilon << epsilon* 的模式保持不平衡，并且弛豫发生在大约 epsilon* 的阈值 epsilon 附近。该模型作为一个玩具示例来研究与玻璃系统中有效温度的存在相关的条件，并通过相应的可观测值探讨其对能源部门的可能依赖性。
In this paper we consider an exactly solvable model that displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated with different relaxational time scales. Low-temperature relaxation takes place by partial equilibration of successive lower-energy modes. An adiabatic scaling solution, defined in terms of a threshold energy scale epsilon*, is proposed. For such a solution, modes with energy epsilon>>epsilon* are equilibrated at the bath temperature, modes with epsilon<<epsilon* remain out of equilibrium, and relaxation occurs in the neighborhood of the threshold epsilon approximately epsilon*. The model is presented as a toy example to investigate the conditions related to the existence of an effective temperature in glassy systems and its possible dependence on the energy sector is probed by the corresponding observable.