{'fraction_non_alphanumeric': 0.02091254752851711, 'fraction_numerical': 0.0, 'mean_word_length': 5.057471264367816, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Monte Carlo Solutions to Diffusion-Like Equations : A Practical Application of the Itô Calculus

In the process of developing a Monte Carlo kinetic code for the acceleration and heating of ions and electrons in the solar wind, I have encountered at least two pieces of physics that are diffusive in velocity space. (These processes are Coulomb collisions and quasi-linear wave-particle interactions.) When modeling the evolution of individual particles, one thus needs to apply some degree of randomness to their trajectories.