We present a theoretical study of the interaction between a protein (diffusing particle) with chromatin (polymer chain). Each monomer is a trap where a particle can transiently bind. We derive novel formulas for the transition rate between monomer sites, given a specific polymer configuration, and find that a particle is likely to rapidly rebind many times to its release site, before moving to another. The reattachment probability is larger when the local density around the release site is smaller. Interestingly, for an equilibrated polymer, the transition probability decays as a power-law for close monomer-to-monomer distances and reaches an asymptotic value for faraway ones. By computing the transition rate between monomers, we show that the problem of facilitated search by a protein can be mapped to a continuous time Markov chain, which we solve. Our findings suggest that proteins may be locally trapped for a time much longer than their dissociation time, while their overall motion is ergodic. Our results are corroborated by Brownian simulations.The interaction of proteins with chromatin regulates many cellular functions. Most DNA-binding proteins interact both non-specifically and transiently [1] with many chromatin sites as well as specifically and more stably with cognate binding sites. These interactions and chromatin structure are important in governing protein dynamics [2,3]. However, the effect of these transient interactions on protein motion and distribution has yet been shown from a first principle.Some aspects of protein interactions with DNA have been studied in the context of the search of a gene promoter site by a transcription factor (TF) [4]. It was first noted [5] that the search for a promoter site by a TF would be faster if it involves 3d excursions, as well as sliding of the protein along DNA [6], as was shown in prokaryotes [7]. These different types of motion were observed experimentally, leading to massive interest in models of facilitated diffusion [8][9][10][11][12][13][14][15], and in the impact of a regulating site's position on transcription [16,17]. In current microscopy experiments, it is impossible to examine the search process to its fullest [18]. Thus, we concentrate here on modeling the experimentally observed dynamics of the protein as a diffusing and interacting particle.We will show that proteins are likely to stay in the proximity of a site for a time much longer than their dissociation time from DNA due to reattachment. Moreover, we find that reattachment depends on the local density around the release site and that the precise configuration of the polymer impacts the interacting particle's dynamics. We further find the rates associated with the transition between different monomer sites. Finally, we show that the process as a whole is ergodic; it has no long-time power law distribution of the residence time at a site as has been previously suggested [20]. We consider a point particle (protein) placed at a distance a from monomer n (locus), part of a long flexi- The part...