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A one-dimensional coagulation-fragmentation process with a dynamical phase transition
one-dimensional coagulation-fragmentation process dynamical phase transition Probability
2011/9/13
Abstract: We introduce a reversible Markovian coagulation-fragmentation process on the set of partitions of $\{1,...,L\}$ into disjoint intervals. Each interval can either split or merge with one of i...
The Phase Transition for Dyadic Tilings
dyadic rectangle tiling phase transition percolation generating function
2011/9/5
Abstract: A dyadic tile of order n is any rectangle obtained from the unit square by n successive bisections by horizontal or vertical cuts. Let each dyadic tile of order n be available with probabili...
Infinite-Period Phase Transition versus Nucleation in a Stochastic Model of Collective Oscillations
Infinite-Period Phase Transition versus Nucleation Stochastic Model Collective Oscillations
2011/7/7
A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al. [Phys. Rev. Lett. 96, 145701 (2006)] to exhibit a phase transition at a critical value of the coupling...
The threshold-two contact process on a random r-regular graph has a first order phase transition
The threshold-two contact process r-regular graph phase transition
2010/11/12
We consider the discrete time threshold-two contact process on a random $r$-regular graph on $n$ vertices. In this process, a vertex with at least two occupied neighbors at time $t$ will be occupied ...
Phase transition in the 3-D massive Gross-Neveu model
Phase transition 3-D massive Gross-Neveu model
2010/12/16
We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an
effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for...
We discuss the complex dynamics of a non-linear random networks model, as a function of the connectivity k between the elements of the network. We show that this class of networks exhibit an order-cha...
Topological Aspects of Entropy and Phase Transition of Kerr Black Holes
topological current entropy Kerr black hole Euler
characteristic Killing vector field
2007/8/15
2005Vol.44No.4pp.631-637DOI:
Topological Aspects of Entropy and Phase Transition of Kerr Black Holes
YANG Guo-Hong,1 YAN Ji-Jiang,1 TIAN Li-Jun,1 and DUAN Yi-Shi2
1 Depa...