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Effects of geometrical structure on spatial distribution of thermal energy in two-dimensional triangular lattices

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Abstract Employing the correlation matrix technique, the spatial distribution of thermal energy in two-dimensional triangular lattices in equilibrium, interacting with linear springs, is studied. It is found that the spatial… Click to show full abstract

Abstract Employing the correlation matrix technique, the spatial distribution of thermal energy in two-dimensional triangular lattices in equilibrium, interacting with linear springs, is studied. It is found that the spatial distribution of thermal energy varies with the included angle of the springs. In addition, the average thermal energy of the longer springs is lower. Springs with different included angle and length will lead to an inhomogeneous spatial distribution of thermal energy. This suggests that the spatial distribution of thermal energy is affected by the geometrical structure of the system: the more asymmetric the geometrical structure of the system is, the more inhomogeneous is the spatial distribution of thermal energy.

Keywords: energy; geometrical structure; distribution thermal; thermal energy; spatial distribution

Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2018

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