40 research outputs found

    Achieving realistic interface kinetics in phase-field models with a diffusional contrast

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    Phase-field models are powerful tools to tackle free-boundary problems. For phase transformations involving diffusion, the evolution of the nonconserved phase field is coupled to the evolution of the conserved diffusion field. Introducing the kinetic cross coupling between these two fields [E. A. Brener and G. Boussinot, Phys. Rev. E 86, 060601(R) (2012)], we solve the long-standing problem of a realistic description of interface kinetics when a diffusional contrast between the phases is taken into account. Using the case of the solidification of a pure substance, we show how to eliminate the temperature jump at the interface and to recover full equilibrium boundary conditions. We confirm our results by numerical simulations

    OpenPING: A Reflective Middleware Platform for Construction of Adaptive Virtual Reality Applications

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    The emergence of collaborative virtual world applications that run over the Internet has presented Virtual Reality (VR) application designers with new challenges. In an environment where the public internet streams multimedia data and is constantly under pressure to deliver over widely heterogeneous user-platforms, there has been a growing need that distributed virtual world applications be aware of and adapt to frequent variations in their context of execution. In this paper, we argue that the use of structural reflection offers great potential for the design of flexible real-time interactive Distributed Virtual Environments (DVEs)

    The Esterel v5 Language Primer - Version 5.20 release 2.0

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    ion for Sequential Languages, pages 89132. Cambridge University Press, 1985. [13] G. Berry and G. Gonthier. Incremental development of an hdlc entity in Esterel. Comp. Networks and ISDN Systems, 22:3549, 1991. [14] G. Berry, S. Moisan, and J-P. Rigault. Towards a synchronous and semantically sound high level language for real-time applications. In IEEE Real Time Systems Symposium, pages 3040. IEEE Catalog 83 CH 1941-4, 1983. [15] G. Berry and R. Sethi. From regular expressions to deterministic automata. Theoretical Computer Science, 48:117126, 1987. [16] P. Bertin, D. Roncin, and J. Vuillemin. Programmable active memories: a performance assessment. In G. Borriello and C. Ebeling, editors, Research on Integrated Systems: Proceedings of the 1993 Symposium, pages 88102, 1993. [17] F. Boussinot. Reactive C: An extension of C to program reactive systems. Software Practice and Experience, 21(4):401428, 1991. [18] F. Boussinot and R. de Simone. The SL synchronous language. IEEE Transacti..

    Isothermal solidification in peritectic systems

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    The peritectic reaction consists in the growth of the peritectic solid phase along the metastable interface between the primary solid phase and the liquid phase. We study theoretically the two-dimensional isothermal peritectic reaction in the limit of small undercoolings using the boundary-integral technique. First, we focus on the case where the liquid phase occupies a semi-infinite space and the peritectic phase presents a finger-like shape. Secondly, we investigate the case where the growth takes place in a channel of liquid phase and the peritectic phase fills the whole channel as a product of the transformation. It is found that for a critical channel width, the velocities of the channel filling and the finger-like solutions are equal. For smaller (larger) widths, the channel filling (finger-like) solution has a larger velocity and is likely to be predominant. This confirms some previously reported qualitative results of time-dependent phase-field calculations (Boussinot et al., 2010) [5]. We also discuss the relevance of our study to directional solidification experiments

    Inhibition of Rayleigh-Plateau instability on a unidirectionally patterned substrate

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    A fundamental process of surface energy minimization is the decay of a wire into separate droplets initiated by the Rayleigh-Plateau instability. Here we study the linear stability of a wire deposited on a unidirectionally patterned substrate with the wire being aligned with the pattern. We show that the wire is stable when a criterion that involves its width and the local geometry of the substrate at the triple line is fulfilled. We present this criterion for an arbitrary shape of the substrate and then give explicit examples. Our result is rationalized using a correspondence between the Rayleigh-Plateau instability and the spinodal decomposition. This work provides a theoretical tool for an appropriate design of the substrate's pattern in order to achieve stable wires of, in principle, arbitrary widths
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