Phase field models with two order parameters
Bridging the two order parameters for the QCD deconfiment phase transition
... mean field values are obtained, the behavior of other relevant quantities as functions of the temperature and chemical potential can be ...as order parameters for the chiral restoration and ...
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Phase field models on evolving surfaces
... into two independent interfacial layers through the hole of the ...the two discussed ...Although two interfaces is energetically more favourable at the time of the topological change, we can see that ...
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Phase Field Models of Two-Fluid Flow in a Capillary Tube and Hele-Shaw Cell.
... ELNA. Phase Field Models of Two-Fluid Flow in a Capillary Tube and Hele-Shaw ...Shearer.) Two recent phase field models, developed by Cueto-Felgueroso and Juanes, ...
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Modeling materials with phase field crystal models
... solid phase, when a liquid is cooled below its freezing point, is such a matter of course in everyday life that one seldom wonders what exactly happens during the process and ...least two important ...
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An analysis of two classes of phase field models for void growth and coarsening in irradiated crystalline solids
... of two classes of phase field models for void growth and coarsening in irradiated solids has been performed to assess their sharp-interface ...B models, which include only point defect ...
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Dependence of Dendritic Side branches on Parameters in Phase Field Simulations
... From the figure, we can see that durative fluctuations are formed near the interface under the condition of the noise, and side-branches appear behind the dendrite tip from several wavelengths, but the phase fields ...
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The Effects of Phase Field Parameters on Grain Growth Morphologies in the Solidification
... Keywords: phase-field, dendrite, side branches, microstructure, pattern ...simulation, phase-field models are for micro-meso scale, and CA methods are for meso-macro ...The phase-field method can ...
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An energy stable time integrator for phase field models
... of phase-field models with polynomial ...Several two-dimensional numerical ex- amples are shown, for both uniform and adaptive time-step sizes, that deal with some of the more popular ...
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Phase-field models for the approximation of the willmore functional and flow*,**
... Remark 3.8. The previous claim gives indications on the design of a numerical scheme for simulating the Esedo¯ glu-Rätz-Röger’s flow in the cases α = 0, 1. Clearly, the flow acts at the second order for u in the ...
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A phase-field approximation of the Steiner problem in dimension two
... This formulation led to Algorithm 1. We define a circular domain Ω containing the points in S endowed with a uniform mesh and four values β, ε in , ε end and N iter and a gaussian convolution kernel ρ ε end in ...
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Second order phase field asymptotics for multi component systems
... interface models are recovered. The relation between the phase field model and the free boundary problem is established using the method of matched asymptotic ...the phase field model ...
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A hierarchy of non-equilibrium two-phase flow models
... of two fluid phases occurs in a wide range of industrially relevant settings, including in nuclear reactors [11], petroleum production [1, 9], heat exchangers [53], cavitating flows [58], and within carbon ...
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Bracket formalism applied to phase field models of alloy solidification
... lowest order representation of the dissipation bracket, as used here, must be a symmetric bilinear ...simplest phase field applications as explored in this paper, by applying the bracket in all ...
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A simple and unified implementation of phase field and gradient damage models
... deformation, two major methodologies are commonly adopted: micromechanical or continuous damage mechanics ...material parameters calibrated with a set of experimental ...
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A phase field higher-order active contour model of directed networks.
... nonlocal phase field model of directed net- ...scalar field representing a region by its smoothed characteristic function and interacting non- locally so as to favour network configurations, the ...
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Inference on Higher-Order Spatial Autoregressive Models with Increasingly Many Parameters
... 8 parameters are more accurately estimated with 300 observations as opposed to 4 parameters with 100 ...indicates two findings, reflective of the discussion of Table ...more parameters can be ...
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Angle of Incidence Effects on Far-Field Positive and Negative Phase Blast Parameters
... Hemispherical PE4 explosive charges were placed on a 50 mm thick steel anvil, in line with G1. The charges sat on a level, flat concrete ground slab which was swept clean after each test, following the approach set out ...
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Numerical Methods for Deterministic and Stochastic Phase Field Models of Phase Transition and Related Geometric Flows
... The remainder of this chapter is organized as follows. In Section 6.2 we present a complete PDE analysis of the poroelasticity model which emphasizes the energy law of the underlying model. Several conserved quantities ...
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Uniaxial strain and high magnetic field investigation on materials with novel order parameters
... novel order does not have to belong to the category of superconductivity ...on two materials, Sr 2 RuO 4 and CeAuSb 2 , both of which are strongly correlated electron systems with novel order ...
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A comparison of heterogenous and homogenous models of two-phase transonic compressible
... paper two modelling approaches were considered. In the first one two phases were considered, namely liquid and ...these two phases a set of compressible fluid flow equations were ...each phase ...
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