分布温度系统中的热爆炸、临界和临界消失IV.严格界限及其实际意义

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences Pub Date : 1989-10-09 DOI:10.1098/rspa.1989.0107

G. Wake, T. Boddington, P. Gray

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引用次数: 5

摘要

在热爆炸理论中，通常不可能用解析的方法来确定从不连续行为向连续行为转变时的环境温度，有时用数值方法来确定是一项艰巨的任务。用解析法建立一个与数值计算值非常接近的下界是可能的。

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Thermal explosions, criticality and the disappearance of criticality in systems with distributed temperatures IV. Rigorous bounds and their practical relevance

In thermal explosion theory it is usually impossible analytically, and sometimes a substantial task numerically, to locate the ambient temperature at which transition from discontinuous to continuous behaviour occurs. It is possible to establish analytically a lower bound that is remarkably close to the numerically computed value.

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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences

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