Methods for allocating memory by a memory manager for an application are provided. The method may include the steps of allocating a first block size for a first amount of data, and allocating a second block size for memory allocated after the first amount of data. In some variations, the second block size is larger than the first block size. Subsequent block sizes may be also be allocated depending on the desired implementation and based on various threshold criteria. Related apparatuses, computer program products and computer systems are also provided.