{'fraction_non_alphanumeric': 0.03806734992679356, 'fraction_numerical': 0.021961932650073207, 'mean_word_length': 4.846153846153846, '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}}
Novel dimension-independent behaviour for diffusive annihilation on percolation fractals

The authors report the first studies of diffusive annihilation on fractal structures. They find super-universal (d-independent) behaviour for the time decay of the particle density; specifically, for the reaction A+A to 0 they find rho A approximately t-23/, while for the reaction A+B to 0 they find rho A approximately t-13/. A scaling theory for diffusive annihilation is developed that predicts that the first exponent is 1/2ds and the second is 1/4ds, where ds=2df/dw is the spectral dimension. Thus the findings support the Alexander-Orbach conjecture (1982) that ds is independent of d.