We consider a system of independent point-like particles performing a Brownian motion while interacting with a Gaussian fluctuating background. These particles are in addition endowed with a discrete two-state internal degree of freedom that is subjected to a nonequilibrium source of noise, which affects their coupling with the background field. We explore the phase diagram of the system and pinpoint the role of the nonequilibrium drive in producing a nontrivial patterned spatial organization. We are able, by means of a weakly nonlinear analysis, to account for the parameter-dependence of the boundaries of the phase and pattern diagram in the stationary state.

中文翻译：

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具有现场介导相互作用的活性粒子的空间组织

我们考虑一个独立的点状粒子系统在与高斯起伏背景相互作用的同时执行布朗运动。这些粒子还具有离散的两态内部自由度，该自由度会受到非平衡噪声源的影响，这会影响它们与背景场的耦合。我们探索了系统的相图，并指出了非平衡驱动器在产生非平凡的图案化空间组织中的作用。通过弱非线性分析，我们能够解决稳态下相位图和模式图边界的参数依赖性。