Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Scaling in Modulated Systems

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_85,
        author={Oliver Portmann and Alessandro Vindigni and Danilo Pescia},
        title={Scaling in Modulated Systems},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={frustrated systems modulated systems long-range interactions competing interactions scaling pattern formation},
        doi={10.1007/978-3-642-02466-5_85}
    }
    
  • Oliver Portmann
    Alessandro Vindigni
    Danilo Pescia
    Year: 2012
    Scaling in Modulated Systems
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_85
Oliver Portmann1, Alessandro Vindigni1, Danilo Pescia1
  • 1: ETH Zürich

Abstract

How can we understand a system that is too complicated to be simulated and in which some important quantities cannot be determined from observation? This is a question we were confronted with when we analyzed experimentally observed magnetic patterns in ultrathin ferromagnetic films. We have now, for this specific case, found a method that gives a good qualitative understanding of a surprising reentrance of order observed experimentally. This method is based on scaling arguments and may prove useful in the study of other complex systems.