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hubatsch
Frap Theory
Commits
5ed22c24
Commit
5ed22c24
authored
4 years ago
by
Lars Hubatsch
Browse files
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parent
24868c99
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2
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2 changed files
int_prob.m
+26
-11
26 additions, 11 deletions
int_prob.m
prob_laplace.m
+14
-11
14 additions, 11 deletions
prob_laplace.m
with
40 additions
and
22 deletions
int_prob.m
+
26
−
11
View file @
5ed22c24
...
@@ -3,8 +3,12 @@ function p = int_prob(l, T, x0, direc, ind_t, bp, ind_delta, lb, T_mov)
...
@@ -3,8 +3,12 @@ function p = int_prob(l, T, x0, direc, ind_t, bp, ind_delta, lb, T_mov)
% 2: left->left, -2: right->right
% 2: left->left, -2: right->right
% ind_t ... time index at which propagators are evaluated
% ind_t ... time index at which propagators are evaluated
% bp ... boundary position at t==ind_t
% bp ... boundary position at t==ind_t
<<<<<<<
Updated
upstream
% lb ... distance from boundary not to take into account
% lb ... distance from boundary not to take into account
=======
ss
=
T
{
1
}
.
system_size
;
>>>>>>>
Stashed
changes
delta_x0
=
diff
(
x0
);
delta_x0
=
diff
(
x0
);
p
=
0
;
p
=
0
;
for
i
=
1
:
length
(
delta_x0
)
for
i
=
1
:
length
(
delta_x0
)
...
@@ -12,6 +16,7 @@ for i = 1:length(delta_x0)
...
@@ -12,6 +16,7 @@ for i = 1:length(delta_x0)
% 1. cond.: corr. starting point? 2. cond: jumped outside of domain?
% 1. cond.: corr. starting point? 2. cond: jumped outside of domain?
corr_starting_point
=
direc
*
x
<
direc
*
bp
-
lb
;
corr_starting_point
=
direc
*
x
<
direc
*
bp
-
lb
;
if
abs
(
direc
)
==
1
% jump across the boundary?
if
abs
(
direc
)
==
1
% jump across the boundary?
<<<<<<<
Updated
upstream
corr_end_point
=
direc
*
(
x
-
l
)
>
direc
*
(
bp
-
T
{
i
}
.
v
*
T
{
1
}
.
t
(
ind_delta
+
1
))
+
lb
;
corr_end_point
=
direc
*
(
x
-
l
)
>
direc
*
(
bp
-
T
{
i
}
.
v
*
T
{
1
}
.
t
(
ind_delta
+
1
))
+
lb
;
elseif
abs
(
direc
)
==
2
% jump within the same phase?
elseif
abs
(
direc
)
==
2
% jump within the same phase?
if
lb
~=
0
if
lb
~=
0
...
@@ -25,8 +30,22 @@ for i = 1:length(delta_x0)
...
@@ -25,8 +30,22 @@ for i = 1:length(delta_x0)
else
else
if
(
x
+
l
<
T
{
1
}
.
system_size
);
right
=
1
;
else
;
right
=
0
;
end
if
(
x
+
l
<
T
{
1
}
.
system_size
);
right
=
1
;
else
;
right
=
0
;
end
if
(
x
-
l
>
bp
);
left
=
1
;
else
;
left
=
0
;
end
if
(
x
-
l
>
bp
);
left
=
1
;
else
;
left
=
0
;
end
=======
corr_end_point
=
direc
*
(
x
-
l
)
>
direc
*
(
bp
-
T
{
i
}
.
v
*
T
{
1
}
.
t
(
ind_delta
+
1
));
elseif
direc
==
2
% jump left -> left
if
l
<
0
&&
x
-
l
<
bp
;
corr_end_point
=
1
;
else
;
corr_end_point
=
0
;
end
if
l
>
0
% jump to left
corr_end_point
=
1
;
if
x
-
l
<
0
;
x
=
l
-
x
;
end
% reflecting boundary if jump out left
end
elseif
direc
==
-
2
% jump right -> right
if
l
>
0
&&
x
-
l
>
bp
;
corr_end_point
=
1
;
else
;
corr_end_point
=
0
;
end
if
l
<
0
% jump to right
corr_end_point
=
1
;
% Reflecting boundary if jumping out on right side of system
if
x
-
l
>
ss
;
x
=
2
*
ss
+
l
-
x
;
end
>>>>>>>
Stashed
changes
end
end
corr_end_point
=
left
||
right
;
% consider, if left or right works
end
end
if
corr_starting_point
&&
corr_end_point
if
corr_starting_point
&&
corr_end_point
if
nargin
==
8
if
nargin
==
8
...
@@ -40,17 +59,13 @@ for i = 1:length(delta_x0)
...
@@ -40,17 +59,13 @@ for i = 1:length(delta_x0)
T
{
1
}
.
phi_tot
(
x
,
T
{
1
}
.
a
,
T
{
1
}
.
b
,
T
{
1
}
.
e
,
T
{
1
}
.
u0
,
0
)
*
p2
;
T
{
1
}
.
phi_tot
(
x
,
T
{
1
}
.
a
,
T
{
1
}
.
b
,
T
{
1
}
.
e
,
T
{
1
}
.
u0
,
0
)
*
p2
;
elseif
nargin
==
9
elseif
nargin
==
9
if
abs
(
direc
)
==
1
if
abs
(
direc
)
==
1
p_i
=
@
(
j
)
interp1
(
T
{
j
}
.
x
,
T
{
j
}
.
sol
(
ind_delta
+
1
,
:),
x
-
l
);
x_ev
=
x
-
l
;
elseif
abs
(
direc
)
==
2
elseif
direc
==
2
% left -> left
x_l
=
x
-
l
;
% left position
if
l
>
0
&&
x
-
l
<
0
;
x_ev
=
l
-
x
;
else
;
x_ev
=
x
-
l
;
end
x_r
=
x
+
l
;
% right position
elseif
direc
==
-
2
% right -> right
if
x
-
l
<
0
;
x_temp
=
l
-
x
;
end
% -> jump reflected if necess.
if
l
<
0
&&
x
+
l
>
ss
;
x_ev
=
2
*
ss
+
l
-
x
;
else
;
x_ev
=
x
-
l
;
end
if
x
+
l
>
T
{
1
}
.
system_size
;
x_temp
=
2
*
T
{
1
}
.
system_size
-
x
-
l
;
end
p_i
=
@
(
j
)
interp1
(
T
{
j
}
.
x
,
T
{
j
}
.
sol
(
ind_delta
+
1
,
:),
...
x_l
)
*
left
+
...
interp1
(
T
{
j
}
.
x
,
T
{
j
}
.
sol
(
ind_delta
+
1
,
:),
...
x_r
)
*
right
;
end
end
p_i
=
@
(
j
)
interp1
(
T
{
j
}
.
x
,
T
{
j
}
.
sol
(
ind_delta
+
1
,
:),
x_ev
);
p2
=
(
p_i
(
i
)
+
p_i
(
i
+
1
))/
2
;
p2
=
(
p_i
(
i
)
+
p_i
(
i
+
1
))/
2
;
p_sol
=
@
(
j
)
interp1
(
T_mov
.
x
,
T_mov
.
sol
(
ind_t
,
:),
x
);
p_sol
=
@
(
j
)
interp1
(
T_mov
.
x
,
T_mov
.
sol
(
ind_t
,
:),
x
);
% p_sol2 = T{1}.phi_tot(x, T{1}.a, T{1}.b, T{1}.e, T{1}.u0, 0);
% p_sol2 = T{1}.phi_tot(x, T{1}.a, T{1}.b, T{1}.e, T{1}.u0, 0);
...
...
This diff is collapsed.
Click to expand it.
prob_laplace.m
+
14
−
11
View file @
5ed22c24
...
@@ -6,6 +6,9 @@ e = @(chi) sqrt(3/8*(chi-2));
...
@@ -6,6 +6,9 @@ e = @(chi) sqrt(3/8*(chi-2));
t
=
linspace
(
0.0
,
0.001
,
11
);
t
=
linspace
(
0.0
,
0.001
,
11
);
% t=0.01;
% t=0.01;
% t = logspace(-4, -2, 20);
% t = logspace(-4, -2, 20);
% Folders
next
=
'/home/hubatsch/Nextcloud/'
;
mac_next
=
'/Users/hubatsch/Nextcloud/'
;
%% Comparison with Python
%% Comparison with Python
T1
=
Ternary_model
(
0
,
'FRAP'
,
{
-
0.1
,
b
(
7
/
3
,
10
^-
12
),
0.5
,
0.4
,
...
T1
=
Ternary_model
(
0
,
'FRAP'
,
{
-
0.1
,
b
(
7
/
3
,
10
^-
12
),
0.5
,
0.4
,
...
0
,
1
,
300
,
7
,
0
,
'Constituent'
,
0
},
...
0
,
1
,
300
,
7
,
0
,
'Constituent'
,
0
},
...
...
@@ -65,8 +68,8 @@ for i = 1:length(fac)
...
@@ -65,8 +68,8 @@ for i = 1:length(fac)
e
,
e_g
,
u_g
,
300
,
7
,
0
,
'Constituent'
},
...
e
,
e_g
,
u_g
,
300
,
7
,
0
,
'Constituent'
},
...
t
,
2
);
t
,
2
);
% T_prec(i) = Ternary_model(2, 'FRAP', {-1, b(7.7/3, 10^-5), u0, ...
% T_prec(i) = Ternary_model(2, 'FRAP', {-1, b(7.7/3, 10^-5), u0, ...
% e(7.7/3), e_g, u_g, 300, 7, 0,
'Constituent'},
...
% e(7.7/3), e_g, u_g, 300, 7, 0,...
% t, 0.2);
%
'Constituent'},
t, 0.2);
T_prec
(
i
)
.
solve_tern_frap
()
T_prec
(
i
)
.
solve_tern_frap
()
end
end
...
@@ -86,9 +89,9 @@ Gi = 1;%(1-Tpt1.phi_t(1))/(1-Tpt1.phi_t(1));
...
@@ -86,9 +89,9 @@ Gi = 1;%(1-Tpt1.phi_t(1))/(1-Tpt1.phi_t(1));
Go
=
Tpt1
.
phi_t
(
end
)/
Tpt1
.
phi_t
(
1
)
*
2
;
Go
=
Tpt1
.
phi_t
(
end
)/
Tpt1
.
phi_t
(
1
)
*
2
;
%%
%%
for
i
=
1
:
1
%length(prec)
for
i
=
1
:
1
%length(prec)
Tga1
(
i
)
=
Ternary_model
(
2
,
'FRAP'
,
{
-
1
,
b
(
7
/
3
,
10
^-
12
),
Tpt1
(
i
)
.
phi_t
(
1
),
...
Tga1
(
i
)
=
Ternary_model
(
2
,
'FRAP'
,
{
-
1
,
b
(
7
/
3
,
10
^-
12
),
...
0
,
-
0.83
,
Gi
,
300
,
7
,
0
,
...
Tpt1
(
i
)
.
phi_t
(
1
),
0
,
-
0.83
,
Gi
,
...
'Constituent'
},
...
300
,
7
,
0
,
'Constituent'
},
...
t
,
prec
(
i
));
t
,
prec
(
i
));
Tga1
(
i
)
.
x
=
Tpt1
(
i
)
.
x
;
Tga1
(
i
)
.
x
=
Tpt1
(
i
)
.
x
;
Tga1
(
i
)
.
solve_tern_frap
();
Tga1
(
i
)
.
solve_tern_frap
();
...
@@ -230,7 +233,7 @@ sum((T{1}.sol(1, 1:end-1)+T{1}.sol(1, 2:end))/2.*diff(T{1}.x))
...
@@ -230,7 +233,7 @@ sum((T{1}.sol(1, 1:end-1)+T{1}.sol(1, 2:end))/2.*diff(T{1}.x))
% figure; hold on;
% figure; hold on;
plot
(
ls
,
p
/
N
);
plot
(
ls
,
p
/
N
);
%% Write to file
%% Write to file
cd
/
Users
/
hubatsch
/
Nextcloud
/
Langevin_vs_MeanField
/
Data_Figs_FokkPla
/
jump_length
/
cd
([
next_mac
,
'
Langevin_vs_MeanField/Data_Figs_FokkPla/jump_length/
'
]);
csvwrite
(
'jump_length_7_7_lb01.csv'
,
ls
)
csvwrite
(
'jump_length_7_7_lb01.csv'
,
ls
)
csvwrite
(
'prob_7_7_lb01.csv'
,
p
);
csvwrite
(
'prob_7_7_lb01.csv'
,
p
);
...
@@ -422,9 +425,9 @@ for j = 1:n_T
...
@@ -422,9 +425,9 @@ for j = 1:n_T
end
end
toc
toc
end
end
next
=
'/home/hubatsch/Nextcloud/'
;
% csvwrite(
'/home/hubatsch/Nextcloud/
jump_length_mov_bound_in_out.csv', [-ls', sum(p, 2)])
% csvwrite(
[next, '
jump_length_mov_bound_in_out.csv'
]
, [-ls', sum(p, 2)])
% csvwrite(
'/home/hubatsch/Nextcloud/
jump_length_mov_bound_out_in.csv', [ls', sum(p, 2)])
% csvwrite(
[next, '
jump_length_mov_bound_out_in.csv', [ls', sum(p, 2)])
%% %%%%%%%%%%%%%%%%%%%%%% FRAP TIME COURSE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% %%%%%%%%%%%%%%%%%%%%%% FRAP TIME COURSE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
t
=
linspace
(
0
,
5
,
300
);
t
=
linspace
(
0
,
5
,
300
);
...
@@ -592,6 +595,6 @@ dudx = diff(Temp.sol(t_ind, :))./diff(Temp.x);
...
@@ -592,6 +595,6 @@ dudx = diff(Temp.sol(t_ind, :))./diff(Temp.x);
x
=
(
Temp
.
x
(
1
:
end
-
1
)
+
Temp
.
x
(
2
:
end
))/
2
;
x
=
(
Temp
.
x
(
1
:
end
-
1
)
+
Temp
.
x
(
2
:
end
))/
2
;
sol
=
(
Temp
.
sol
(
t_ind
,
1
:
end
-
1
)
+
Temp
.
sol
(
t_ind
,
2
:
end
))/
2
;
sol
=
(
Temp
.
sol
(
t_ind
,
1
:
end
-
1
)
+
Temp
.
sol
(
t_ind
,
2
:
end
))/
2
;
[
~
,
flux
,
~
,
g0
,
pt
]
=
flory_hugg_pde
(
x
,
0
,
sol
,
dudx
,
Temp
.
a
,
Temp
.
b
,
Temp
.
e
,
...
[
~
,
flux
,
~
,
g0
,
pt
]
=
flory_hugg_pde
(
x
,
0
,
sol
,
dudx
,
Temp
.
a
,
Temp
.
b
,
...
Temp
.
u0
,
Temp
.
e_g0
,
Temp
.
u_g0
,
Temp
.
v
,
Temp
.
mode
);
Temp
.
e
,
Temp
.
u0
,
Temp
.
e_g0
,
Temp
.
u_g0
,
Temp
.
v
,
Temp
.
mode
);
end
end
\ No newline at end of file
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