File:Static Lindhard function.svg

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    Original file (SVG file, nominally 288 × 178 pixels, file size: 19 KB)

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     The SVG code is valid.
     This vector image was created with another SVG tool.
    Description
    English: Static Lindhard function given by
    F(x)=12+1−x24xlog⁡|1+x1−x|.
    The dashed line indicates the x=1 where the derivative becomes divergees.
    Date
    Source Own work
    Author ReyHahn
    Source code
    InfoField

    SVG code

    # Lindhard function
    def LindhardF(x):
    	return 1/2 + ((1-x**2)/(4*x))*np.log(np.abs((1+x)/(1-x)))
    
    xmin=0
    xmax=3
    x = np.linspace(xmin,xmax,10000)
    
    plt.plot(x, LindhardF(x), 'k', linewidth=0.5)
    plt.axvline(x=1, color='k', linestyle='--', linewidth=0.5)
    plt.xlim(xmin,xmax)
    plt.ylim(0, 1)
    plt.xlabel(r"$x$")
    plt.ylabel(r"$F\,(x)$")
    plt.tight_layout()
    plt.savefig("static_lindhard_F.svg")
    

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    Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
    The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

    Captions

    Lindhard function

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    1 July 2025

    19,927 byte

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    1f91384f336d864e8b4f1cfd99fdf0c412c9967e

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    Date/TimeThumbnailDimensionsUserComment
    current10:23, 1 July 2025Thumbnail for version as of 10:23, 1 July 2025288 × 178 (19 KB)wikimediacommons>ReyHahnUploaded own work with UploadWizard

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