Nuclear bodies are RNA and protein-rich, membraneless organelles that play important roles in gene regulation. The largest and most well-known nuclear body is the nucleolus, an organelle whose primary function in ribosome biogenesis makes it key for cell growth and size homeostasis. The nucleolus and other nuclear bodies behave like liquid-phase droplets and appear to condense from the nucleoplasm by concentration-dependent phase separation. However, nucleoli actively consume chemical energy, and it is unclear how such nonequilibrium activity might impact classical liquid-liquid phase separation. Here, we combine in vivo and in vitro experiments with theory and simulation to characterize the assembly and disassembly dynamics of nucleoli in early Caenorhabditis elegans embryos. In addition to classical nucleoli that assemble at the transcriptionally active nucleolar organizing regions, we observe dozens of "extranucleolar droplets" (ENDs) that condense in the nucleoplasm in a transcription-independent manner. We show that growth of nucleoli and ENDs is consistent with a first-order phase transition in which late-stage coarsening dynamics are mediated by Brownian coalescence and, to a lesser degree, Ostwald ripening. By manipulating C. elegans cell size, we change nucleolar component concentration and confirm several key model predictions. Our results show that rRNA transcription and other nonequilibrium biological activity can modulate the effective thermodynamic parameters governing nucleolar and END assembly, but do not appear to fundamentally alter the passive phase separation mechanism.RNA/protein droplets | intracellular phase separation | Brownian coalescence | Ostwald ripening | Flory-Huggins regular solution theory L iving cells are composed of complex and spatially heterogeneous materials that partition into functional compartments called organelles. Many organelles are vesicle-like structures with an enclosing membrane. However, a large number of RNA and protein-rich bodies maintain a dynamic but coherent structure even in the absence of a membrane. These so-called RNA/ protein granules are found in the cytoplasm and in the nucleus, where they are referred to as nuclear bodies. The mechanisms by which such structures form and stably persist are not well understood. However, recent evidence suggests that these membraneless organelles, such as P granules (1, 2), nucleoli (3), and stress granules (4), are liquid-phase droplets that may assemble by intracellular phase separation (5, 6). This concept is supported by work on synthetic systems, including repetitive protein domains that form droplets in vitro and in the cytoplasm (7) and intrinsically disordered protein domains that show signatures of liquid-liquid phase separation when expressed in the cell nucleus (8).By examining the cell size-dependent assembly of nucleoli in early Caenorhabditis elegans embryos, we previously showed that nucleolar assembly is controlled by a concentration-dependent phase transition (9). Using a simple model based on the de...