The mechanisms for anomalous transport across the magnetic field are investigated in a toroidal magnetized plasma. The role of plasma instabilities and macroscopic density structures (blobs) is discussed. Examples from a scenario with open magnetic field lines are shown. A transition from a main plasma region into a loss region is reproduced. In the main plasma, which includes particle and heat source locations, the transport is dominated by the fluctuation-induced particle and heat flux associated with a plasma instability. On the low-field side, the cross-field transport is ascribed to the intermittent ejection of macroscopic blobs propagating toward the outer wall. It is shown that instabilities and blobs represent fundamentally different mechanisms for cross-field transport. It is widely recognized that the transport of particles and heat across the magnetic field in magnetically confined plasmas is anomalous, i.e., much larger than the transport induced by collisional processes [1]. Similar statistical properties, observed in different physical systems and/or for a variety of experimental conditions [2], suggest that the mechanisms responsible for the anomalous cross-field transport may have a common fundamental character. In particular, the possible relationship with low-frequency electrostatic instabilities has been suggested [3]. Correlated fluctuations of density and potential associated with unstable modes can directly drive a cross-field flux [4]. In addition, losses are partly due to the ejection of blobs, i.e., macroscopic density perturbations stretched along the magnetic field [5]. Theoretical [6 -8] and experimental [9,10] investigations are shedding light upon the mechanisms governing the blob dynamics, hence the associated transport [1,11]. However, despite the fundamental difference in the properties of instabilities and blobs, no clear distinction is usually done between their contributions to the total transport, generically interpreted in terms of a turbulent flux.In this Letter, we address the question of the different contributions to the cross-field transport in a simple magnetized toroidal plasma from instabilities and blobs. It is shown that the associated mechanisms for cross-field transport present fundamental differences. Therefore, the corresponding transport rates should be measured through complementary techniques to fully characterize the turbulent flux. For the scenario investigated herein, a main plasma and an edge region, connected by a transition region, can be clearly separated [12]. An interchange instability develops in the main plasma [13]. Blobs originate from the instability in the transition region, then propagate toward the outer wall across the magnetic field [12,14]. Although * 90% of the total losses on TORPEX plasmas are due to losses along the open magnetic field lines [15], in this Letter we focus on cross-field transport induced by perturbations of the plasma parameters.In general, the instantaneous particle flux is nv, where n is the local plasma density and...