| 体温计模型的临界行为 |
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| 引用本文： | 范钦梁,张书东,丁鄂江.体温计模型的临界行为[J].物理学报,1996,45(4):545-555. |
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| 作者姓名： | 范钦梁 张书东 丁鄂江 |
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| 作者单位： | (1)北京师范大学低能核物理研究所,北京100875; (2)北京师范大学低能核物理研究所,北京100875;辽宁大学物理系,沈阳110036 |
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| 基金项目： | 高等学校博士学科点专项科研基金;国家自然科学基金资助的课题 |
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| 摘 要： | 提出一个可用离散朗之万方程描述的体温计模型.该体温计的特点是其温度示数只能随外界温度的升高而上升,当外界温度降低时,其示数却不能下降.根据体温计示数这种只升不降的特点,定义了“停顿”事件.用随机行走的理论解析地推导了停顿时间分布函数数值模拟和解析结果都显示这种分布函数呈幂律形式D(s)∝s-ξ,揭示出在这一过程中所表现出的临界性.
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| 关 键 词： | 统计物理 体温计模型 临界行为 相变 |
| 收稿时间： | 5/8/1995 12:00:00 AM |
CRITICAL BEHAVIORS OF A CLINICAL THERMOMETER MODEL |
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| FAN QIN-LIANG,ZHANG SHU-DONG and DING E-JIANG.CRITICAL BEHAVIORS OF A CLINICAL THERMOMETER MODEL[J].Acta Physica Sinica,1996,45(4):545-555. |
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| Authors: | FAN QIN-LIANG ZHANG SHU-DONG and DING E-JIANG |
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| Abstract: | A clinical thermometer model is proposed, which can be described by discrete Langevin equation. The characteristic of the clinical thermometer is that its reading can only increase with the increasing of its temperature, but cannot fall even when its temperature decreases. "Pause" events are defined according to the non-decreasing character of the reading. Using the random walk thoery, we derive analitically the distribution of the duration of the pause events. Both numerical and analytical results show that the distribution function has the form of a power law D(s)∝s-ξ, indicting the critical behavior in this process. |
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