Exact formulation for hysteresis loops and energy loss in Stoner–Wohlfarth systems

We propose an exact expression to describe the hysteresis loops of ensemble Stoner–Wohlfarth particles undergoing alternating quasi-static magnetic field. A statistical approach, which treats quantities characterizing each particle as random variables, is adopted get orientation distribution local polarizations with respect applied field direction and constitutive equation whole assembly. The loop area gives energy loss figure, but we have also obtained a straightforward integral for this quantity. analytical relationships symmetric losses are successfully tested against numerical results, mathematical method displayed ability reproduce “elemental loop” associated any given system. While having fundamental character, proposed approach bears applicative interest, representing versatile tool core codes that simulate behavior devices employing components.