A master-equation approach is used to perform dynamic modeling of phase-transformation processes that define the operating regimes and performance attributes of electronic ͑and optical͒ processors and multistate memory devices based on phase-change materials. The predictions of the so-called energy accumulation and direct-overwrite regimes, prerequisites for processing and memory functions, respectively, emerge in detail from the model, providing a theoretical framework for future device design and evaluation. © 2007 American Institute of Physics. ͓DOI: 10.1063/1.2475606͔ Electrical memory devices based on the reversible transition between amorphous and crystalline phases in chalcogenide alloys, such as GeSbTe, are attracting much interest, in particular, as possible replacements for silicon "flash" memory. 1,2 The development of binary memories currently predominates, but multistate memories will be of much interest in future since they offer greater storage capacity. More remarkable and far-reaching potential applications of phase-change technology, recently discussed by Ovshinsky and Pashmakov 3 and Ovshinsky 4 include the provision of non-Von-Neumann ͑micro͒ processing devices capable of both general-purpose computation and "cognitive" function. The origins of such possibilities lie in the detail of the phasetransformation event itself. In conventional phase-change memories crystallization relies on both electronic and thermal effects; applying a voltage above a certain value induces a conducting on state in the previously high-resistance amorphous material, allowing current to flow which in turn generates heat to drive crystallization. The electrical resistance during switching changes abruptly at the "percolation threshold," where growing ͑nano͒cystallites merge to form the first conducting pathways between device electrodes. It is the prethreshold region that offers the potential to perform generalpurpose computation and provides artificial neuronlike capabilities. This may be explained by considering prepercolation behavior to involve energy accumulation; energy is accumulated and crystal clusters grow as each input pulse is applied and when enough energy has been accumulated to reach the percolation threshold the cell resistance changes abruptly. This energy accumulation property has the potential to implement basic mathematical operations such as addition, subtraction, multiplication, and division, as well as more complex functions such as factoring, encryption, and logic. 3,4 The accumulation property, the presence of a distinct threshold, and a nonlinear ͑output͒ transition ͑between resistance states͒ mimic the basic action of a biological neuron. Furthermore, the ͑synaptic͒ weighting of inputs might be provided by another phase-change cell operating in the multilevel storage regime. Multilevel storage has already been demonstrated for both optical and electrical memories. 3,4 Thus, an artificial neuron might be achieved using only phase-change cells, operating in the energy-accumulating regime to mi...