A simple model for a dimer molecular diffusion on a crystalline surface, as a function of temperature, is presented. The dimer is formed by two particles coupled by a quadratic potential. The dimer diffusion is modeled by an overdamped Langevin equation in the presence of a two-dimensional periodic potential. Numerical simulation's results exhibit some dynamical properties observed, for example, in Si 2 diffusion on a silicon ͓100͔ surface. They can be used to predict the value of the effective friction parameter. Comparison between our model and experimental measurements is presented. Molecular diffusion is one of the typical examples in transport phenomena where the crossing of a potential barrier is the main physical mechanism. The way a dimer is physisorbed or chemisorbed on a surface affects its diffusive motion. Experimental studies by using scanning tunneling microscope (STM) of dimer diffusion on a crystalline surface show a very rich phenomenology [1]. The understanding of the diversity of diffusion mechanisms is a challenging problem with important implications in fields such as heteroepitaxial crystal growth, chemical etching, chemical vapor deposition, and chemical surface absorption. A molecule can explore a surface by jumping potential barriers and partially governing the absorption. Our aim here is to study the diffusive aspects of this dynamical process by means of a simple statistical model within experimental scales.The last few years have witnessed an increasing interest in molecular diffusion due to the development of more sophisticated experimental setups which are able to follow the molecule path during diffusion [2][3][4]. For example, in the area of microelectronic devices there is a particular interest to understand the elementary processes involved in the homoepitaxial silicon crystal growth [5][6][7][8][9][10][11]. A particular case of this growth is the diffusion of small Si 2 molecules on a Si surface. The Si͓100͔ surface reconstructs in dimer rows with different characteristic lengths. Due to this surface anisotropy, dimer diffusion can adopt many different configurations. STM variable temperature experiments [8] indicate a preferential direction. The activation barrier for different dimer orientations can be estimated from experimental measurements [1,7] and it has been theoretically determined by ab initio calculations [9,11]. Basically, there are two more favorable configurations which are parallel or perpendicular to the dimer surface reconstruction (crystal ͓110͔ orientation). At finite temperatures the deposited dimers are able to diffuse and interchange between these two principal orientations as observed by STM [1,7].Due to the importance of the silicon diffusion, we have applied our model to this physical system. However, there are many other examples where molecule diffusion is also important, like in large molecules on metallic surfaces , etc. We think that these cases can also be rationalized using the same procedure we discuss below.In order to understand the behavior o...