Effect of anisotropic interactions on the heat conductionof one-dimensional chainsLei Wan1, Huang Tao1,∗, Yafang Tian1,∗, Chunhua Zeng1,∗ and Baowen Li2,31 Faculty of Science, Kunming University of Science and Technology, Kunming 650500, People’s Republic of China2 Department of Materials Science and Engineering, Department of Physics, Southern University of Science and Technology, Shenzhen518055, People’s Republic of China3 Paul M. Rady Department of Mechanical Engineering and Department of Physics, University of Colorado, Boulder, CO 80305-0427,United States of America∗ Authors to whom any correspondence should be addressed.

AbstractOne-dimensional (1D) chain models are frequently employed to investigate heat conduction invarious systems. Despite their widespread use, there has been limited exploration of 1D chainmodels with anisotropic interactions. In this study, we examine heat conduction in a 1D chainmodel with orientation–position coupled interaction, namely the compressible XY model, andcompare it with isotropic Fermi-Pasta-Ulam-Tsingou β (FPUT-β) systems. At low temperatures,the local temperatures in the translational and rotational degrees of freedom differ due to thedifference in the contact thermal resistance in the two degrees of freedom. The system maintainsorientational order, and the orientation–position-coupling effect lowers thermal conductivity intranslational degrees of freedom. As the temperature rises above a transition point, the rotation ofparticles switches from oscillation to diffusion, leading to a solid-like to fluid-like transition in therotational degree of freedom. The anisotropic interactions become negligible under timeaveraging, making the system’s properties similar to those of isotropic FPUT-β systems.Additionally, we investigate the system’s orientational structure to elucidate this transition. Thesefindings will enhance our understanding of the dynamics of nanoscale anisotropic systems, such asthe heat conduction of spin chains.