Abstract
The triangular-lattice Blume-Capel magnetic system is investigated using efficient Wang-Landau Monte Carlo algorithm. From extensive Wang-Landau Monte Carlo simulations with massive large-scale computing, the microcanonical entropy as a function of energy variables, the most fundamental quantity in statistical thermodynamics, for the triangular- lattice Blume-Capel ferromagnet and antiferromagnet at the same time is evaluated for the first time. The important properties of the microcanonical entropy as a function of energy variables are discussed for the triangular-lattice Blume-Capel magnetic system.
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