International Journal of Recent advances in Physics (IJRAP) Vol.2, No.1, February 2013 1 STONE AGE CULTURE AND DIFFUSION IN ANNEALED RANDOM MEDIA M. A. Radwan 1 , M. A. Sumour 1 , A. H. El-Astal 1 and M. M. Shabat 2 1 Physics Department, Al-Aqsa University, P.O.4051, Gaza, Gaza Strip,Palestinian Authority. ma.radwan@yahoo.com , msumoor@yahoo.com , a_elastal@yahoo.com 2 Physics Department, Islamic University of Gaza, P.O.108, Gaza, Gaza Strip. Palestinian Authority shabat@iugaza.edu.ps ABSTRACT Symbolic and technological complexity of human artifacts increased drastically around 45,000 years ago. Powell, Shennan and Thomas (2009) explained it using a computer simulation of a demographic model through an increase of the population density. We have simplified the computer demographic model to be similar to standard physics models (percolation, random walks) for a large square lattice. Demography is a major determinant in the maintenance of cultural complexity and its variation in regional subpopulation density and/or migratory activity results in spatial structuring of cultural skill accumulation. Computer simulations have been used to facilitate information spread by random walkers over dozens of distances between human bands (extended families) of stone-age humans, distributed randomly on a large square lattice such that each lattice site is randomly occupied with probability p and empty with probability 1−p, and random walkers move among the occupied sites only. In this paper we allow also these bands to move randomly on the lattice. This improvement has been done by letting the communities perform slower random walks on the lattice such that no sharp percolation threshold exists for the random walks of the walkers within groups of occupied neighboring sites.. KEYWORDS Sciophysics, Stone- age, Random walk, Human Artifacts, Computer Demographic model, Square Lattice, Neighboring sites. 1. INTRODUCTION Modern humans presumably originated about 200,000 years ago in East Africa. They emigrated to 150 km north of Gaza (Skhul near Haifa) about 100,000 years ago but died out there again. Then about 50,000 years ago they again emigrated from Africa, this time more successfully, but presumably again via Gaza and Haifa. Perhaps [1] there was only one such emigration, 10 5 years ago and immediately successful. The rapid progress of human culture about 45,000 years ago was simulated by Powell et al. [2] in 2009 as being due to increased population density. In 2011 we [3] achieved the same result through standard percolation theory [4], where teachers randomly visit neighboring communities distributed randomly and fixed on a square lattice; these teachers teach the visited communities new techniques. For the above purpose it was assumed [3] that bands, which defines the extended