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Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Relaxation Singular Perturbation Geometric Measure
2010/12/14
We establish some new results about the -limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
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...
Emergence of foams from the breakdown of the phase field crystal model
phase field crystal topological properties
2010/4/2
The phase field crystal (PFC) model captures the elastic and topological properties of crystals with a single scalar field at small undercooling. At large undercooling, new foam-like behavior emerges....
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...
Non-linear connections on phase space and the Lorentz force law
Non-linear connections phase space the Lorentz force law
2010/11/2
The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in momentum reproduces th...