He-H interactions

n_b = c_b \cdot f \cdot A(\langle r_b \rangle)

n_b = c_b \cdot f \cdot A(\langle r_b \rangle)

\mathrm{sites \, m^{-2}}

\mathrm{sites \, m^{-2}}

\mathrm{bubbles \, m^{-3}}

\mathrm{bubbles \, m^{-3}}

\mathrm{m^{2}}

\mathrm{m^{2}}

n_b

n_b

c_b

c_b

tuning parameter

f

f

\langle r_b \rangle = r_\mathrm{He_0 V_1} + \left( \frac{3}{4\pi} \frac{a_0^3}{2} \frac{\langle i_b \rangle}{4} \right) ^{1/3} - \left( \frac{3}{4\pi} \frac{a_0^3}{2} \right) ^{1/3}

\langle r_b \rangle = r_\mathrm{He_0 V_1} + \left( \frac{3}{4\pi} \frac{a_0^3}{2} \frac{\langle i_b \rangle}{4} \right) ^{1/3} - \left( \frac{3}{4\pi} \frac{a_0^3}{2} \right) ^{1/3}

bubbles radius

A = 4 \pi \langle r_b \rangle ^2

A = 4 \pi \langle r_b \rangle ^2

bubbles area

f = 3 \times 10 ^{18} \mathrm{m ^{-2}}

f = 3 \times 10 ^{18} \mathrm{m ^{-2}}

Bubbles

Initial state

He implantation

Secondary defects (eg created by stress fields)

He implantation

1st H implantation

These defects are saturated

1st TDS

H is desorbed from bubbles

1st TDS

H is desorbed from bubbles

1st TDS

He is removed from secondary defects

1st TDS

He is removed from secondary defects

2nd H implantation

2nd TDS

H desorption from secondary defects

2nd TDS

H desorption from secondary defects

Repeat...

Bursting in he_fenics

k_\mathrm{burst} = e^{-x}

k_\mathrm{burst} = e^{-x}

\frac{\partial c_b}{\partial t} = k_ {1,N}^+ c_1 c_N \\

\frac{\partial c_b}{\partial t} = k_ {1,N}^+ c_1 c_N \\

\frac{\partial (\langle i_b \rangle c_b)}{\partial t} = (N+1)k_ {1,N}^+ c_1 c_N + \langle k_b^+ \rangle c_1 c_b \\ - \langle i_b \rangle k_\mathrm{burst} c_b

\frac{\partial (\langle i_b \rangle c_b)}{\partial t} = (N+1)k_ {1,N}^+ c_1 c_N + \langle k_b^+ \rangle c_1 c_b \\ - \langle i_b \rangle k_\mathrm{burst} c_b

Bursting in he_fenics

Please ignore this

Bursting in he_fenics

k_\mathrm{burst} = f \cdot (1 - (x - \langle r_b \rangle)/x)

k_\mathrm{burst} = f \cdot (1 - (x - \langle r_b \rangle)/x)

f = 2 \times 10^8

f = 2 \times 10^8

Bursting in he_fenics

Please ignore this

Bursting in he_fenics

Adding <m>