¿Cómo personalizar el texto tick en TikZ?

Solución:

€ dit³

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Una sugerencia con pgfplots:

Creo que quieres algo así …

· Un método está configurando extra x ticks, ver “T_0+T_1“; mismo juego con”K” mediante el uso extra y ticks.

· Otro método es agregar etiquetas especiales como draw anotación, ver “T_0“,”T_1” y “T_a“,”T_b“:

Si desea utilizar diferentes longitudes de tick para sus etiquetas, puede preferir el segundo método.

A continuación se muestran ambas formas.

documentclass[border=5pt, tikz]{standalone}
usepackage{pgfplots}
pgfplotsset{compat=newest}
usetikzlibrary{backgrounds}
begin{document}
pgfdeclarelayer{foreground}
pgfsetlayers{background,main,foreground}
begin{tikzpicture}
pgfmathsetlengthmacroMajorTickLength{
pgfkeysvalueof{/pgfplots/major tick length}*0.5}
pgfmathsetlengthmacroAxisShift{-4.5pt}
begin{axis}[ 
xmin=-0, 
xmax=6.0, 
ymin=0,
ymax=4.5,
%axis lines=middle,
axis y line=middle, 
axis x line=bottom,
axis line style={-, gray},
major tick length=MajorTickLength,
every tick/.style={gray},
tick align=outside,
y axis line style={xshift=AxisShift},
every y tick/.style={xshift=AxisShift},
yticklabel style={xshift=AxisShift},
x axis line style={yshift=AxisShift},
every x tick/.style={yshift=AxisShift},
x tick label style={yshift=AxisShift, fill=white},
ylabel={rotatebox{90}{$y
xlabel={$t$},
x label style={at={(ticklabel* cs:0.975)}, inner sep=5pt, yshift=4*AxisShift, anchor=north},
y label style={at={(ticklabel* cs:0.55)}, inner sep=5pt, xshift=3.5*AxisShift, anchor=east},
xtick={0,...,6},
ytick={1,...,4},
extra y ticks={0,4.5},
extra y tick labels={0,$K$},
grid=major, 
extra x ticks={2},
extra x tick labels={$T_0 + T_1$},
extra x tick style={major tick length=-5.25*AxisShift, on background layer},
%enlarge y limits={abs=0.4,upper},
]
% Curve
addplot [domain=1.5:6, samples=222, thick]{9/2 *(1 -exp(3 -2*x)};
% Line 1 as parametric plot
addplot[dashed, variable=t, samples=2, thick]({2},{t}) ;       
% Line 2 as table-plot
addplot[no marks, thick,] table[x=X,y=Y] {
X     Y
1.5   0
2     4.5
};
% Some special labels ===================
begin{pgfonlayer}{foreground}
foreach T/Name in {0.5/T_1, 1.5/T_0, 3.85/T_a, 4.6/T_b} {edeftemp{noexpand
draw [gray, yshift=AxisShift] (T,0) -- (T,2.75*AxisShift) node[below, text=black, inner sep=2pt]{$Name$}; 
}temp}
end{pgfonlayer}
% ================================
end{axis}   

end{tikzpicture}
end{document}   

Esto hace algo por el estilo. Para que una marca adicional no elimine la anterior, necesita el /.list clave. Para evitar superposiciones, puede utilizar turnos. Tan en conjunto

major also at/.list={ 1.5 as    $T_0$,
           2 as [node style={yshift=-2em}] $T_0 + T_1$},

MWE completo:

documentclass{scrartcl}
usepackage{tikz}
usetikzlibrary{datavisualization.formats.functions}

begin{document}

  begin{tikzpicture}
    datavisualization[
       scientific axes={clean},
       all axes = grid,
       x axis = {
          min value = 0,
          ticks = {
               major also at/.list={ 1.5 as $T_0$,
               2 as [node style={yshift=-2em,alias=pft}] $T_0 + T_1$},
             stack
            },
          label = $t$
         },
       y axis = {
          min value = 0,
          ticks = {major = {also at = 4.5 as $K$}},
          label = $y
         },
       visualize as smooth line/.list = {
          curve,
          line 1,
          line 2
         },
       line 2 = {style = dashed}
      ]
    data[
         set = curve,
         format = function
        ] {
           var x : interval[1.5 : 6];
           func y = 9/2 * (1 - exp(3 - 2 * value x));
          }
    data[set = line 1] {
                        x,   y
                        1.5, 0
                        2,   4.5
                       }
    data[set = line 2] {
                        x, y
                        2, 4.5
                        2, 0
                       };
   draw[very thin] (pft.north) -- ++ (0,1em);
  end{tikzpicture}

end{document}

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