# a szokásos rutinok betöltése
%pylab inline
from scipy.integrate import * # az integráló rutinok betöltése
from ipywidgets import * # az interaktivitásért felelős csomag
import matplotlib.pyplot as plt
from IPython.core.display import HTML
HTML('''<script>
code_show=true;
function code_toggle() {
if (code_show){
$('div.input').hide();
} else {
$('div.input').show();
}
code_show = !code_show
}
$( document ).ready(code_toggle);
</script>
<form action="javascript:code_toggle()"><input type="submit"
value="Click here to toggle on/off the raw code."></form>''')
rc('text', usetex=True) # az abran a xticks, yticks fontjai LaTeX fontok lesznek
def homerseklet(V,p):
tmp=(p+3/V**2)*(3*V-1)/8
return (tmp)
def hotagulas(V,T):
if T > 1:
tmp = 9/4/V/(T/(3*V-1)-(3*V-1)/4/V**3)
else:
tmp=0;
return (tmp)
def alpha_approx(T):
if T>1:
tmp=2/3/abs((T-1))
else:
tmp=0
return(tmp)
def kappaT(V,T):
if T>1:
tmp = 9*(3*V-1)/V/(8*T/(3*V-1)-2*(3*V-1)/V**3)
else:
tmp=0
return (tmp)
def kappa_approx(T):
if T>1:
tmp=9/2/(T-1)
else:
tmp=0
return(tmp)
# Abra es fontmeretek
xfig_meret= 9 # 12 nagy abrahoz
yfig_meret= 6 # 12 nagy abrahoz
xyticks_meret= 15 # 20 nagy abrahoz
xylabel_meret= 21 # 30 nagy abrahoz
legend_meret= 21 # 30 nagy abrahoz
A kritikus pont közelében (ha $T-T_c \ll T_c$): $\alpha_T^{\scriptscriptstyle \mathrm{köz}} \approx \frac{2}{3}\, \frac{1}{T_c}\, \frac{1}{\frac{T}{T_c}-1}$
p0=(1.001,1.1)
(Vmin,Vmax)=(0.75,1.7)
Npont=1000
VV=linspace(Vmin,Vmax,Npont) #mintavételezési pontok legyártása
x1=homerseklet(VV,p0[0])
y1=[]
for i in range(0,Npont):
y1.append(hotagulas(VV[i],x1[i]))
x2=homerseklet(VV,p0[1])
y2=[]
for i in range(0,Npont):
y2.append(hotagulas(VV[i],x2[i]))
x3=linspace(0.9,1.1,Npont)
y3=[]
for i in range(0,Npont):
y3.append(alpha_approx(x3[i]))
figsize(xfig_meret,yfig_meret)
xylabel_meret=25
plot(x1,y1,label=r'$\alpha_T, \; \hat{p}=1.001$',lw=3,ls='-',color='red');
plot(x2,y2,label=r'$\alpha_T, \; \hat{p}=1.1$',lw=3,ls='--',color='blue');
plot(x3,y3,label=r'$\alpha_T^{\mathrm{k\ddot {o}z}}, \; \hat{p}=1.$',lw=3,ls='dotted',color='blue');
legend(loc='upper right',fontsize=legend_meret)
xlabel(r'$T/T_c$',fontsize=xylabel_meret)
ylabel(r'$\alpha_T$',fontsize=xylabel_meret,rotation='horizontal')
xticks(fontsize=xyticks_meret)
yticks(fontsize=xyticks_meret);
xlim(0.98,1.05)
ylim(0,800)
ax = gca()
ax.yaxis.set_label_coords(-0.15, 0.65); # ylabel position
#title(r'$E(T)$ ', fontsize=20)
#savefig('xxxxx.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese
A kritikus pont közelében (ha $T-T_c \ll T_c$): $\kappa_T^{\scriptscriptstyle \mathrm{köz}} \approx \frac{1}{6}\, \frac{1}{p_c}\, \frac{1}{\frac{T}{T_c}-1}$
V0=(1.01,1.01)
(Tmin,Tmax)=(0.8,1.2)
Npont=1000
xx=linspace(Tmin,Tmax,Npont) #mintavételezési pontok legyártása
y1=[]
for i in range(0,Npont):
y1.append(kappaT(V0[0],xx[i]))
y2=[]
for i in range(0,Npont):
y2.append(kappaT(V0[1],xx[i]))
x3=linspace(0.9,1.1,Npont)
y3=[]
for i in range(0,Npont):
y3.append(kappa_approx(x3[i]))
figsize(xfig_meret,yfig_meret)
xylabel_meret=25
plot(xx,y1,label=r'$\kappa_T, \; \hat{V}=1.01$',lw=3,ls='-',color='red');
#plot(xx,y2,lw=3,ls='-',color='blue');
plot(x3,y3,label=r'$\kappa_T^{\mathrm{k\ddot {o}z}}, \; \hat{V}=1.$',lw=3,ls='--',color='blue');
legend(loc='upper right',fontsize=legend_meret)
xlabel(r'$T/T_c$',fontsize=xylabel_meret)
ylabel(r'$\kappa_T$',fontsize=xylabel_meret,rotation='horizontal')
xticks(fontsize=xyticks_meret)
yticks(fontsize=xyticks_meret);
ylim(0,1000)
ax = gca()
ax.yaxis.set_label_coords(-0.15, 0.65); # ylabel position
#title(r'$E(T)$ ', fontsize=20)
#savefig('xxxxx.eps',pad_inches=0.0,bbox_inches='tight'); # Abra kimentese