{'fraction_non_alphanumeric': 0.02, 'fraction_numerical': 0.008, 'mean_word_length': 5.341772151898734, '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}}
The critical properties of the magnetised ideal Bose gas

The critical behaviour of a d-dimensional ideal gas of uncharged bosons with spin S in an uniform magnetic field is examined. The critical exponents associated with the spontaneous magnetisation, the zero-field magnetic susceptibility, the equation of state, and the density-density correlation function are calculated as well as their relationship to the critical exponents obtained by Gunton and Buckingham (1968) for the spinless Bose gas.