Nearest-neighbor distribution functions in many-body systems

摘要: The probability of finding a nearest neighbor at some given distance from reference point in many-body system interacting particles is importance host problems the physical as well biological sciences. We develop formalism to obtain two different types nearest-neighbor density functions ({ital void} and {ital particle} densities) closely related quantities, such their associated cumulative distributions conditional pair distributions, for systems D}-dimensional spheres. For special case impenetrable (hard) spheres, we compute low-density expansions each these quantities analytical expressions them that are accurate wide range sphere concentrations. Using results, able calculate mean Our theoretical results found be excellent agreement with computer-simulation data.