74 research outputs found
Glauber Dynamics for the mean-field Potts Model
We study Glauber dynamics for the mean-field (Curie-Weiss) Potts model with
states and show that it undergoes a critical slowdown at an
inverse-temperature strictly lower than the critical
for uniqueness of the thermodynamic limit. The dynamical critical
is the spinodal point marking the onset of metastability.
We prove that when the mixing time is asymptotically
and the dynamics exhibits the cutoff phenomena, a sharp
transition in mixing, with a window of order . At the
dynamics no longer exhibits cutoff and its mixing obeys a power-law of order
. For the mixing time is exponentially large in
. Furthermore, as with , the mixing time
interpolates smoothly from subcritical to critical behavior, with the latter
reached at a scaling window of around . These results
form the first complete analysis of mixing around the critical dynamical
temperature --- including the critical power law --- for a model with a first
order phase transition.Comment: 45 pages, 5 figure
Abbreviated larval development of Macrobrachium inpa Kensley and Walker, 1982 (Crustacea: Decapoda: Palaemonidae) from an Amazon Basin forest stream, Brazil, reared in the laboratory
Desenvolvimento larval de Macrobrachium birai Lobão, Melo & Fernandes (Crustacea, Decapoda, Caridea, Palaemonidae) em laboratório
The species of Hippolyte Leach (Crustacea, Caridea, Hippolytidae) from Terminos Lagoon, southwestern Gulf of Mexico
Addressing Threats to the Health of Coastal and Near- Coastal Ecosystems — The Gulf of Mexico*
Crustacea decapoda da praia rochosa da Ilha do Farol, Matinhos, Paraná. I: distribuição temporal de densidade das populações
142Successful allogeneic HSCT for consolidation in young children with high-risk 11Q23+ ALL in CR1
142Successful allogeneic HSCT for consolidation in young children with high-risk 11Q23+ ALL in CR1
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