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arXiv 0910.2165cond-mat.stat-mech
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具有吸引粒子和非定域跳变的模型中的凝聚相变

Condensation transition in a model with attractive particles and non-local hops

Apoorva Nagar

摘要:

研究了一个具有粒子吸引和非局域跳跃竞争特征的一维非平衡格点模型。该系统类似于具有吸引粒子的零程过程(ZRP),但粒子可以进行局部和非局部跳跃。非本地跳的长度取决于所选站点的占用率,其概率由参数$p$给出。我们的数值计算结果表明,该系统经历了相变从凝聚相的均匀密度相的$p$增加超过一个临界值$p_c$。平均场近似不能预测相变,而只能描述凝聚相。我们提供启发式的参数理解的数值结果。

英文摘要:

We study a one dimensional nonequilibrium lattice model with competing features of particle attraction and non-local hops. The system is similar to a zero range process (ZRP) with attractive particles but the particles can make both local and non-local hops. The length of the non-local hop is dependent on the occupancy of the chosen site and its probability is given by the parameter $p$. Our numerical results show that the system undergoes a phase transition from a condensate phase to a homogeneous density phase as $p$ is increased beyond a critical value $p_c$. A mean-field approximation does not predict a phase transition and describes only the condensate phase. We provide heuristic arguments for understanding the numerical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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