摘要翻译：
在具有周期边界条件的一维晶格上，引入了一类粒子在单个二类粒子存在下的反应扩散精确可解模型。由于产生和湮没反应，一级粒子的数目可以改变。结果表明，与第二类粒子密度有限且相变连续的情况相比，该体系发生了不连续的相变。
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英文标题：
《Discontinuous Phase Transition in an Exactly Solvable One-Dimensional
  Creation-Annihilation System》
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作者：
F H Jafarpour and B Ghavami
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  An exactly solvable reaction-diffusion model consisting of first-class particles in the presence of a single second-class particle is introduced on a one-dimensional lattice with periodic boundary condition. The number of first-class particles can be changed due to creation and annihilation reactions. It is shown that the system undergoes a discontinuous phase transition in contrast to the case where the density of the second-class particles is finite and the phase transition is continuous.
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PDF链接：
https://arxiv.org/pdf/704.2313