PACS. 05.50.+q -Lattice theory and statistics (Ising, Potts, etc.). PACS. 75.10.-b -General theory and models of magnetic ordering. PACS. 47.32.Cc -Vortex dynamics.Abstract. -Vortex flow in driven type-II superconductors shows strong memory-and historydependent effects. Here, we study a schematic microscopic model of driven vortices to propose a scenario for a broad set of this kind of phenomena ranging from rejuvenation and stiffening of the system response, to memory and irreversibility in I-V characteristics.An important discovery in the dynamics of vortices driven by an external current in type-II superconductors is the presence of strong "memory"-and history-dependent effects in vortex flow (see, for instance, [1-6] and references therein). These off-equilibrium phenomena, particularly important at low temperatures, crucially affect the overall system behaviour and, thus, have also important consequences for technological applications. Here we present a microscopic model to describe their origin and their connections with other "aging" phenomena of vortex matter such as the rearrangement of vortex domains during creep. In relation to recent experimental results [4,5], we discuss in particular the nature of "memory" effects observed in the response of the system to an external drive, the I-V characteristic and critical currents. We identify the properties of the (off-equilibrium) dynamics of vortex flow at finite T and its relevant time scales. Finally, we stress the similarities and the important differences with other "glassy" systems, such as supercooled liquids or disordered magnets [7,8].We consider a statistical mechanics schematic model introduced to describe the anomalous relaxation of vortices in superconductors, namely a system of repulsive particles diffusing, subject to a Monte Carlo dynamics, in a pinning landscape in the presence of an external drive. The model describes several phenomena of vortex physics, ranging from a re-entrant phase diagram in the (B, T ) plane, to the "anomalous second peak" in magnetisation loops (the "fishtail" effects), glassiness and "aging" of slow magnetic relaxation, the "anomalous creep" at very low temperatures, and many others [9].A system of straight parallel vortex lines, corresponding to a magnetic field B along the z-axis, interacts via a potential which has a natural screening length: the field penetration length λ [1]. The typical high vortex densities and large λ imply that the vortex system c EDP Sciences