Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process

加权网络中的系综不等价与玻色-爱因斯坦凝聚

Ensemble nonequivalence and Bose-Einstein condensation in weighted networks

本文首次研究了加权网络中具有局部约束的系综不等价性，发现广延数量的局部约束会导致相对熵密度非零从而破坏系综等价性，且该现象独立于网络中发生的玻色-爱因斯坦凝聚相变。

First-order condensation transition in the position distribution of a run-and-tumble particle in one dimension

We consider a single run-and-tumble particle (RTP) moving in one dimension. We assume that the velocity of the particle is drawn independently at each tumbling from a zero-mean Gaussian distribution and that the run times are exponentially distributed. We investigate the probability distribution $P(X,N)$ of the position $X$ of the particle after $N$ runs, with $N\gg 1$. We show that in the regime $ X \sim N^{3/4}$ the distribution $P(X,N)$ has a large deviation form with a rate function characterized by a discontinuous derivative at the critical value $X=X_c>0$. The same is true for $X=-X_c$ d…

有限温度下简谐势阱中无相互作用玻色子的转动惯量分布：大偏差

The distribution of the moment of inertia for harmonically trapped noninteracting Bosons at finite temperature: large deviations

本文研究有限温度下简谐势阱中无相互作用玻色子转动惯量的大偏差分布，明确速率函数的奇点与玻色-爱因斯坦凝聚相变的关联，为该相变提供实空间诊断方法。