Exact microcanonical statistical analysis of transition behavior in Ising chains and strips
Kedkanok Sitarachu, R. K. P. Zia, Michael Bachmann
Abstract
Abstract Recent analyses of least-sensitive inflection points in derivatives of the microcanonical entropy for the two-dimensional Ising model revealed higher-order transition signals in addition to the well-studied second-order ferromagnetic/paramagnetic phase transition. In this paper, we re-analyze the exact density of states for the one-dimensional Ising chain as well as the strips with widths/lengths of up to 64/1024 spins, in search of potential transition features. While some transitions begin to emerge as the strip width increases, none are found for the chain, as might be expected.
Topics & Concepts
Ising modelInflection pointPhase transitionSpinsCondensed matter physicsStatistical physicsIsing spinFerromagnetismEntropy (arrow of time)PhysicsMarkov chainResidual entropyMathematicsConfiguration entropyQuantum mechanicsStatisticsGeometryTheoretical and Computational PhysicsStatistical Mechanics and EntropyComplex Systems and Time Series Analysis