{'fraction_non_alphanumeric': 0.03541076487252125, 'fraction_numerical': 0.0, 'mean_word_length': 5.3125, '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}}
Thermal transport in low-dimensional lattices with nearest- and next-nearest-neighbour coupling

We examine the effect of increasing the range of interaction on the anomalous transport properties of classical low-dimensional lattices coupled to thermal baths at different temperatures. We consider one-dimensional next-nearest-neighbour (NNN) interactions as well as a zig-zag model of two chains with nonlinearity of Fermi–Pasta–Ulam (namely quartic + quadratic) type. As in the case of linear chains with nearest-neighbour coupling, the thermal conductivity diverges as a power of the system size. The characteristic exponents are, however, distinct, and appear to depend on the strength of the coupling.