JournalsowrVol. 7 , No. 2DOI 10.4171/owr/2010/24

Phase Transitions

  • Kaushik Bhattacharya

    California Institute of Technology, Pasadena, USA
  • Dmitry Ioffe

    Technion - Israel Institute of Technology, Haifa, Israel
  • Stephan Luckhaus

    Universität Leipzig, Germany
  • Felix Otto

    MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany
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Abstract

Phase transitions are common phenomena which occur in many fields of material sciences. Models of phase transitions in diverse physical systems often lead to ill-posed mathematical problems whose solutions are characterized by oscillations, bifurcations and singularities. Random fluctuations and stochastic events also play an important role in determining the nature of the solutions.