Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · 44 citations · 6 references
Natural SciencesPhysicsCondensed Matter PhysicsDynamical SystemsCritical PhenomenaFerromagnetismPhase TransitionsRelaxation MechanismsCritical BehaviorCritical DynamicsCritical ExponentsGlauber ModelGlauber TheoryIsing ModelOpen Boundary ConditionsOrder-parameter Dynamics
The one-dimensional ferromagnetic Ising model with open boundary conditions within the Glauber dynamics is studied. From the behavior of the order parameter, the explicit scaling form of the relaxation time is obtained. For finite systems, the dynamical critical exponent is z=1, in contrast to the value of the infinite open chain (z=2).
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Theory of dynamic critical phenomena
P. C. Hohenberg, Bertrand I. Halperin · Reviews of Modern Physics · 1977 · 6.9K citations
Time-Dependent Statistics of the Ising Model
Roy J. Glauber · Journal of Mathematical Physics · 1963 · 3.6K citations