From 6e445d7232c6400f72a31485d5a43a65417f3e5b Mon Sep 17 00:00:00 2001
From: JanHab <Jan.Habscheid@web.de>
Date: Mon, 19 Aug 2024 15:53:53 +0200
Subject: [PATCH] Added incompressible DLKap with Analytical metho for
 Visualizations

---
 examples/Data/DoubleLayerCapacity/Lambda.npz  |  Bin 0 -> 645148 bytes
 .../Data/DoubleLayerCapacity/Molarity.npz     |  Bin 0 -> 645140 bytes
 .../Data/DoubleLayerCapacity/Solvation.npz    |  Bin 0 -> 805140 bytes
 .../DoubleLayerCapacity/Lambda_Capacity.svg   | 2050 +++++++++++++++
 .../DoubleLayerCapacity/Lambda_Charge.svg     | 1676 ++++++++++++
 .../DoubleLayerCapacity/Molarity_Capacity.svg | 2171 ++++++++++++++++
 .../DoubleLayerCapacity/Molarity_Charge.svg   | 1549 +++++++++++
 .../Solvation_Capacity.svg                    | 2293 +++++++++++++++++
 .../DoubleLayerCapacity/Solvation_Charge.svg  | 1594 ++++++++++++
 .../DoubleLayerCapacity/Lambda.py             |   18 +-
 .../DoubleLayerCapacity/Molarity.py           |   71 +-
 .../DoubleLayerCapacity/Solvation.py          |   16 +-
 .../VisIncompressible.py                      |  262 ++
 13 files changed, 11624 insertions(+), 76 deletions(-)
 create mode 100644 examples/Data/DoubleLayerCapacity/Lambda.npz
 create mode 100644 examples/Data/DoubleLayerCapacity/Molarity.npz
 create mode 100644 examples/Data/DoubleLayerCapacity/Solvation.npz
 create mode 100644 examples/Figures/DoubleLayerCapacity/Lambda_Capacity.svg
 create mode 100644 examples/Figures/DoubleLayerCapacity/Lambda_Charge.svg
 create mode 100644 examples/Figures/DoubleLayerCapacity/Molarity_Capacity.svg
 create mode 100644 examples/Figures/DoubleLayerCapacity/Molarity_Charge.svg
 create mode 100644 examples/Figures/DoubleLayerCapacity/Solvation_Capacity.svg
 create mode 100644 examples/Figures/DoubleLayerCapacity/Solvation_Charge.svg
 create mode 100644 examples/Visualizations/DoubleLayerCapacity.py/VisIncompressible.py

diff --git a/examples/Data/DoubleLayerCapacity/Lambda.npz b/examples/Data/DoubleLayerCapacity/Lambda.npz
new file mode 100644
index 0000000000000000000000000000000000000000..3d1c273d650aff43776c4de88ceb8e7b09d2aa3d
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diff --git a/examples/ReproducableCode/DoubleLayerCapacity/Lambda.py b/examples/ReproducableCode/DoubleLayerCapacity/Lambda.py
index 14c2314..cbb20e7 100644
--- a/examples/ReproducableCode/DoubleLayerCapacity/Lambda.py
+++ b/examples/ReproducableCode/DoubleLayerCapacity/Lambda.py
@@ -10,10 +10,9 @@ import sys
 import os
 
 # Add the src directory to the sys.path
-src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../..', 'src')
+src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../../..', 'src')
 sys.path.insert(0, src_path)
 
-from Eq02 import solve_System_2eq
 from Helper_DoubleLayerCapacity import Phi_pot_center, dx, C_dl, n, Q_num_, Q_DL_dimless_ana, Q_DL_dim_ana
 
 
@@ -47,10 +46,6 @@ z_A, z_C = -1.0, 1.0
 phi_R = 0.0
 p_R = 0
 
-# Solver settings
-number_cells = 1024
-relax_param = 0.03
-p_right = 0
 
 # phi^L domain
 Vol_start = -1.0
@@ -114,6 +109,8 @@ fig.show()
 
 
 # Double Layer Capacity
+Phi_pot_center_array_dimless = Phi_pot_center(Phi_Pot_Diff_dimless)
+Phi_pot_center_array_dim = Phi_pot_center(Phi_Pot_Diff_dim)
 fig = plt.figure()
 color_dimless = 'tab:purple'
 color_dim = 'tab:red'
@@ -122,7 +119,7 @@ ax2 = fig.add_subplot(111, label="2", frame_on=False)
 
 # Plot dimensional data
 for i, c_dl in enumerate(C_DL_dim):
-    ax.plot(Phi_pot_center(Phi_Pot_Diff_dim), c_dl, color=colors[i], label=f'$\lambda^2$: {Lambda2_vec[i]}')
+    ax.plot(Phi_pot_center_array_dim, c_dl, color=colors[i], label=f'$\lambda^2$: {Lambda2_vec[i]}')
 ax.grid()
 ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
 ax.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$', color=color_dim)
@@ -130,7 +127,7 @@ ax.tick_params(axis='x', colors=color_dim)
 ax.tick_params(axis='y', colors=color_dim)
 
 for i, c_dl in enumerate(C_DL_dimless):
-    ax2.plot(Phi_pot_center(Phi_Pot_Diff_dimless), c_dl, color=colors[i])
+    ax2.plot(Phi_pot_center_array_dimless, c_dl, color=colors[i])
 # ax2.grid()
 ax2.xaxis.tick_top()
 ax2.yaxis.tick_right()
@@ -143,4 +140,7 @@ ax2.tick_params(axis='y', colors=color_dimless)
 
 fig.legend()
 fig.tight_layout()
-fig.show()
\ No newline at end of file
+fig.show()
+
+# Save the results
+np.savez('../../Data/DoubleLayerCapacity/Lambda.npz', Lambda2_vec=Lambda2_vec, a2=a2, K=K, kappa=kappa, z_A=z_A, z_C=z_C, phi_R=phi_R, p_R=p_R, Vol_start=Vol_start, Volt_end=Volt_end, n_Volts=n_Volts, Phi_pot_center_array_dimless=Phi_pot_center_array_dimless, Phi_pot_center_array_dim=Phi_pot_center_array_dim, Phi_Pot_Diff_dim=Phi_Pot_Diff_dim, Phi_Pot_Diff_dimless=Phi_Pot_Diff_dimless, C_DL_dim=C_DL_dim, C_DL_dimless=C_DL_dimless, Q_DL_dim_=Q_DL_dim_, Q_DL_dimless_=Q_DL_dimless_, Molarity=Molarity)
diff --git a/examples/ReproducableCode/DoubleLayerCapacity/Molarity.py b/examples/ReproducableCode/DoubleLayerCapacity/Molarity.py
index cc3bc18..1ed0441 100644
--- a/examples/ReproducableCode/DoubleLayerCapacity/Molarity.py
+++ b/examples/ReproducableCode/DoubleLayerCapacity/Molarity.py
@@ -10,13 +10,11 @@ import sys
 import os
 
 # Add the src directory to the sys.path
-src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../..', 'src')
+src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../../..', 'src')
 sys.path.insert(0, src_path)
 
-from Eq02 import solve_System_2eq
 from Helper_DoubleLayerCapacity import Phi_pot_center, dx, C_dl, n, Q_num_, Q_DL_dimless_ana, Q_DL_dim_ana
 
-
 # Remove the src directory from sys.path after import
 del sys.path[0]
 
@@ -42,17 +40,10 @@ Lambda2 = (k*T*epsilon0*(1+chi))/(e0**2 * nR_m * (LR)**2)
 a2 = (pR)/(nR_m * k * T)
 K = 'incompressible'
 kappa = 0
-Molarity = 0.01
-y_R = Molarity / nR_mol
 z_A, z_C = -1.0, 1.0
 phi_R = 0.0
 p_R = 0
 
-# Solver settings
-number_cells = 1024
-relax_param = 0.03
-p_right = 0
-
 # phi^L domain
 Vol_start = -1.0
 Volt_end = 1.0
@@ -80,55 +71,6 @@ C_DL_dimless = [C_dl(q_dl, Phi_Pot_Diff_dimless) for q_dl in Q_DL_dimless_]
 
 
 
-# fig, axs = plt.subplots(ncols=2, figsize=(10, 5))
-# ax1 = axs[0]
-# ax2 = axs[1]
-
-# # Plot the first set of data on the primary y-axis
-# colors = ['tab:blue', 'tab:orange', 'tab:green']
-# ax1.set_xlabel('Phi_Pot_Diff')
-# ax1.set_ylabel('$Q$ [\u03bc$F/cm^3]$')#, color=color)
-# for i, q_dl in enumerate(Q_DL_dim_):
-#     ax1.plot(Phi_Pot_Diff_dim, q_dl, color=colors[i], label=f'Molarity: {Molarity[i]}')
-# ax1.tick_params(axis='y')#, labelcolor=color)
-# ax1.grid()
-
-# # Create a secondary y-axis
-# ax1_twin = ax1.twinx()
-# ax1_twin.set_ylabel('$Q [-]$')#, color=color)
-# for i, q_dl in enumerate(Q_DL_dimless_):
-#     ax1_twin.plot(Phi_Pot_Diff_dimless, q_dl, color=colors[i])
-# ax1_twin.tick_params(axis='y')#, labelcolor=color2)
-# ax1_twin.grid()
-
-# ax2.set_xlabel('Phi_Pot_Diff')
-# ax2.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$')#, color=color)
-# for i, c_dl in enumerate(C_DL_dim):
-#     ax2.plot(Phi_pot_center(Phi_Pot_Diff_dim), c_dl, color=colors[i])
-# ax2.tick_params(axis='y')#, labelcolor=color)
-# ax2.grid()
-
-# # Create a secondary y-axis
-# ax2_twin = ax2.twinx()
-# ax2_twin.set_ylabel('$C_{dl} [-]$')#, color=color)
-# for i, c_dl in enumerate(C_DL_dimless):
-#     ax2_twin.plot(Phi_pot_center(Phi_Pot_Diff_dimless), c_dl, color=colors[i])
-# ax2_twin.tick_params(axis='y')#, labelcolor=color2)
-# ax2_twin.grid()
-
-
-# fig.tight_layout()  # Adjust layout to prevent overlap
-# fig.legend()
-# fig.show()
-
-# # plt.figure()
-# # [plt.plot(Phi_pot_center(Phi_Pot_Diff_dim), c_dl) for c_dl in C_DL_dim]
-# # plt.show()
-
-# # plt.figure()
-# # [plt.plot(Phi_pot_center(Phi_Pot_Diff_dimless), c_dl) for c_dl in C_DL_dimless]
-# # plt.show()
-
 
 # Charge
 fig = plt.figure()
@@ -164,6 +106,8 @@ fig.show()
 
 
 # Double Layer Capacity
+Phi_pot_center_array_dimless = Phi_pot_center(Phi_Pot_Diff_dimless)
+Phi_pot_center_array_dim = Phi_pot_center(Phi_Pot_Diff_dim)
 fig = plt.figure()
 color_dimless = 'tab:purple'
 color_dim = 'tab:red'
@@ -172,7 +116,7 @@ ax2 = fig.add_subplot(111, label="2", frame_on=False)
 
 # Plot dimensional data
 for i, c_dl in enumerate(C_DL_dim):
-    ax.plot(Phi_pot_center(Phi_Pot_Diff_dim), c_dl, color=colors[i], label=f'M: {Molarity[i]}')
+    ax.plot(Phi_pot_center_array_dim, c_dl, color=colors[i], label=f'M: {Molarity[i]}')
 ax.grid()
 ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
 ax.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$', color=color_dim)
@@ -180,7 +124,7 @@ ax.tick_params(axis='x', colors=color_dim)
 ax.tick_params(axis='y', colors=color_dim)
 
 for i, c_dl in enumerate(C_DL_dimless):
-    ax2.plot(Phi_pot_center(Phi_Pot_Diff_dimless), c_dl, color=colors[i])
+    ax2.plot(Phi_pot_center_array_dimless, c_dl, color=colors[i])
 # ax2.grid()
 ax2.xaxis.tick_top()
 ax2.yaxis.tick_right()
@@ -193,4 +137,7 @@ ax2.tick_params(axis='y', colors=color_dimless)
 
 fig.legend()
 fig.tight_layout()
-fig.show()
\ No newline at end of file
+fig.show()
+
+# Save the results
+np.savez('../../Data/DoubleLayerCapacity/Molarity.npz', Lambda2=Lambda2, a2=a2, K=K, kappa=kappa, z_A=z_A, z_C=z_C, phi_R=phi_R, p_R=p_R, Vol_start=Vol_start, Phi_pot_center_array_dimless=Phi_pot_center_array_dimless, Phi_pot_center_array_dim=Phi_pot_center_array_dim, Volt_end=Volt_end, n_Volts=n_Volts, Phi_Pot_Diff_dim=Phi_Pot_Diff_dim, Phi_Pot_Diff_dimless=Phi_Pot_Diff_dimless, C_DL_dim=C_DL_dim, C_DL_dimless=C_DL_dimless, Q_DL_dim_=Q_DL_dim_, Q_DL_dimless_=Q_DL_dimless_, Molarity=Molarity)
diff --git a/examples/ReproducableCode/DoubleLayerCapacity/Solvation.py b/examples/ReproducableCode/DoubleLayerCapacity/Solvation.py
index 7f3b4cf..93b535f 100644
--- a/examples/ReproducableCode/DoubleLayerCapacity/Solvation.py
+++ b/examples/ReproducableCode/DoubleLayerCapacity/Solvation.py
@@ -3,6 +3,8 @@ Jan Habscheid
 Jan.Habscheid@rwth-aachen.de
 
 This script is used to analyze the influence of the solvation on the charge of the system and the double-layer capacity.
+
+# ! This is not correct and needed to be checked, as it seems that something is wrong for kappa=0
 '''
 
 # import the src file needed to solve the system of equations
@@ -10,10 +12,9 @@ import sys
 import os
 
 # Add the src directory to the sys.path
-src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../..', 'src')
+src_path = os.path.join(os.path.dirname(os.path.abspath(__file__)), '../../..', 'src')
 sys.path.insert(0, src_path)
 
-from Eq02 import solve_System_2eq
 from Helper_DoubleLayerCapacity import Phi_pot_center, dx, C_dl, n, Q_num_, Q_DL_dimless_ana, Q_DL_dim_ana
 
 
@@ -114,6 +115,8 @@ fig.show()
 
 
 # Double Layer Capacity
+Phi_pot_center_array_dimless = Phi_pot_center(Phi_Pot_Diff_dimless)
+Phi_pot_center_array_dim = Phi_pot_center(Phi_Pot_Diff_dim)
 fig = plt.figure()
 color_dimless = 'tab:purple'
 color_dim = 'tab:red'
@@ -122,7 +125,7 @@ ax2 = fig.add_subplot(111, label="2", frame_on=False)
 
 # Plot dimensional data
 for i, c_dl in enumerate(C_DL_dim):
-    ax.plot(Phi_pot_center(Phi_Pot_Diff_dim), c_dl, color=colors[i], label=f'$\kappa$: {kappa_vec[i]}')
+    ax.plot(Phi_pot_center_array_dim, c_dl, color=colors[i], label=f'$\kappa$: {kappa_vec[i]}')
 ax.grid()
 ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
 ax.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$', color=color_dim)
@@ -130,7 +133,7 @@ ax.tick_params(axis='x', colors=color_dim)
 ax.tick_params(axis='y', colors=color_dim)
 
 for i, c_dl in enumerate(C_DL_dimless):
-    ax2.plot(Phi_pot_center(Phi_Pot_Diff_dimless), c_dl, color=colors[i])
+    ax2.plot(Phi_pot_center_array_dimless, c_dl, color=colors[i])
 # ax2.grid()
 ax2.xaxis.tick_top()
 ax2.yaxis.tick_right()
@@ -143,4 +146,7 @@ ax2.tick_params(axis='y', colors=color_dimless)
 
 fig.legend()
 fig.tight_layout()
-fig.show()
\ No newline at end of file
+fig.show()
+
+# Save the results
+np.savez('../../Data/DoubleLayerCapacity/Solvation.npz', Lambda2=Lambda2, a2=a2, K=K, kappa_vec=kappa_vec, z_A=z_A, z_C=z_C, phi_R=phi_R, p_R=p_R, Vol_start=Vol_start, Volt_end=Volt_end, n_Volts=n_Volts, Phi_pot_center_array_dim=Phi_pot_center_array_dim, Phi_pot_center_array_dimless=Phi_pot_center_array_dimless, Phi_Pot_Diff_dim=Phi_Pot_Diff_dim, Phi_Pot_Diff_dimless=Phi_Pot_Diff_dimless, C_DL_dim=C_DL_dim, C_DL_dimless=C_DL_dimless, Q_DL_dim_=Q_DL_dim_, Q_DL_dimless_=Q_DL_dimless_, Molarity=Molarity)
diff --git a/examples/Visualizations/DoubleLayerCapacity.py/VisIncompressible.py b/examples/Visualizations/DoubleLayerCapacity.py/VisIncompressible.py
new file mode 100644
index 0000000..fafdfa6
--- /dev/null
+++ b/examples/Visualizations/DoubleLayerCapacity.py/VisIncompressible.py
@@ -0,0 +1,262 @@
+'''
+Jan Habscheid
+Jan.Habscheid@rwth-aachen.de
+
+This script visualizes the incompressible solutions for the charge of the systema and the double layer capacity.
+'''
+
+import matplotlib.pyplot as plt
+import numpy as np
+
+
+# Molarity
+
+# Load data
+data_Molarity = np.load('../../Data/DoubleLayerCapacity/Molarity.npz')
+
+Q_DL_dim_ = data_Molarity['Q_DL_dim_']
+Phi_Pot_Diff_dim = data_Molarity['Phi_Pot_Diff_dim']
+Molarity = data_Molarity['Molarity']
+Q_DL_dimless_ = data_Molarity['Q_DL_dimless_']
+Phi_Pot_Diff_dimless = data_Molarity['Phi_Pot_Diff_dimless']
+C_DL_dim = data_Molarity['C_DL_dim']
+Phi_pot_center_array_dimless = data_Molarity['Phi_pot_center_array_dimless']
+Phi_pot_center_array_dim = data_Molarity['Phi_pot_center_array_dim']
+C_DL_dimless = data_Molarity['C_DL_dimless']
+
+
+# Plotting
+# Charge
+fig = plt.figure()
+colors = ['tab:blue', 'tab:orange', 'tab:green']
+color_dimless = 'tab:purple'
+color_dim = 'tab:red'
+ax = fig.add_subplot(111, label="1")
+ax2 = fig.add_subplot(111, label="2", frame_on=False)
+
+# Plot dimensional data
+for i, q_dl in enumerate(Q_DL_dim_):
+    ax.plot(Phi_Pot_Diff_dim, q_dl, color=colors[i], label=f'M: {Molarity[i]}')
+ax.grid()
+ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
+ax.set_ylabel('$Q$ [\u03bc$F/cm^3]$', color=color_dim)
+ax.tick_params(axis='x', colors=color_dim)
+ax.tick_params(axis='y', colors=color_dim)
+
+for i, q_dl in enumerate(Q_DL_dimless_):
+    ax2.plot(Phi_Pot_Diff_dimless, q_dl, color=colors[i])
+ax2.xaxis.tick_top()
+ax2.yaxis.tick_right()
+ax2.set_xlabel('$\delta \\varphi [-]$', color=color_dimless) 
+ax2.set_ylabel('$Q [-]$', color=color_dimless)       
+ax2.xaxis.set_label_position('top') 
+ax2.yaxis.set_label_position('right') 
+ax2.tick_params(axis='x', colors=color_dimless)
+ax2.tick_params(axis='y', colors=color_dimless)
+
+fig.legend()
+fig.tight_layout()
+fig.savefig('../../Figures/DoubleLayerCapacity/Molarity_Charge.svg')
+fig.show()
+
+
+# Double Layer Capacity
+fig = plt.figure()
+color_dimless = 'tab:purple'
+color_dim = 'tab:red'
+ax = fig.add_subplot(111, label="1")
+ax2 = fig.add_subplot(111, label="2", frame_on=False)
+
+# Plot dimensional data
+for i, c_dl in enumerate(C_DL_dim):
+    ax.plot(Phi_pot_center_array_dim, c_dl, color=colors[i], label=f'M: {Molarity[i]}')
+ax.grid()
+ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
+ax.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$', color=color_dim)
+ax.tick_params(axis='x', colors=color_dim)
+ax.tick_params(axis='y', colors=color_dim)
+
+for i, c_dl in enumerate(C_DL_dimless):
+    ax2.plot(Phi_pot_center_array_dimless, c_dl, color=colors[i])
+# ax2.grid()
+ax2.xaxis.tick_top()
+ax2.yaxis.tick_right()
+ax2.set_xlabel('$\delta \\varphi [-]$', color=color_dimless) 
+ax2.set_ylabel('$Q [-]$', color=color_dimless)       
+ax2.xaxis.set_label_position('top') 
+ax2.yaxis.set_label_position('right') 
+ax2.tick_params(axis='x', colors=color_dimless)
+ax2.tick_params(axis='y', colors=color_dimless)
+
+fig.legend()
+fig.tight_layout()
+fig.savefig('../../Figures/DoubleLayerCapacity/Molarity_Capacity.svg')
+fig.show()
+
+
+
+# Solvation
+# Load data
+data_Solvation = np.load('../../Data/DoubleLayerCapacity/Solvation.npz')
+
+Phi_Pot_Diff_dim = data_Solvation['Phi_Pot_Diff_dim']
+Q_DL_dim_ = data_Solvation['Q_DL_dim_']
+Q_DL_dimless_ = data_Solvation['Q_DL_dimless_']
+Phi_Pot_Diff_dimless = data_Solvation['Phi_Pot_Diff_dimless']
+C_DL_dim = data_Solvation['C_DL_dim']
+Phi_pot_center_array_dim = data_Solvation['Phi_pot_center_array_dim']
+Phi_pot_center_array_dimless = data_Solvation['Phi_pot_center_array_dimless']
+C_DL_dimless = data_Solvation['C_DL_dimless']
+kappa_vec = data_Solvation['kappa_vec']
+
+# Plotting
+# Charge
+fig = plt.figure()
+colors = ['tab:blue', 'tab:orange', 'tab:green', 'tab:cyan']
+color_dimless = 'tab:purple'
+color_dim = 'tab:red'
+ax = fig.add_subplot(111, label="1")
+ax2 = fig.add_subplot(111, label="2", frame_on=False)
+
+# Plot dimensional data
+for i, q_dl in enumerate(Q_DL_dim_):
+    ax.plot(Phi_Pot_Diff_dim, q_dl, color=colors[i], label=f'$\kappa$: {kappa_vec[i]}')
+ax.grid()
+ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
+ax.set_ylabel('$Q$ [\u03bc$F/cm^3]$', color=color_dim)
+ax.tick_params(axis='x', colors=color_dim)
+ax.tick_params(axis='y', colors=color_dim)
+
+for i, q_dl in enumerate(Q_DL_dimless_):
+    ax2.plot(Phi_Pot_Diff_dimless, q_dl, color=colors[i])
+ax2.xaxis.tick_top()
+ax2.yaxis.tick_right()
+ax2.set_xlabel('$\delta \\varphi [-]$', color=color_dimless) 
+ax2.set_ylabel('$Q [-]$', color=color_dimless)       
+ax2.xaxis.set_label_position('top') 
+ax2.yaxis.set_label_position('right') 
+ax2.tick_params(axis='x', colors=color_dimless)
+ax2.tick_params(axis='y', colors=color_dimless)
+
+fig.legend()
+fig.tight_layout()
+fig.savefig('../../Figures/DoubleLayerCapacity/Solvation_Charge.svg')
+fig.show()
+
+
+# Double Layer Capacity
+fig = plt.figure()
+color_dimless = 'tab:purple'
+color_dim = 'tab:red'
+ax = fig.add_subplot(111, label="1")
+ax2 = fig.add_subplot(111, label="2", frame_on=False)
+
+# Plot dimensional data
+for i, c_dl in enumerate(C_DL_dim):
+    ax.plot(Phi_pot_center_array_dim, c_dl, color=colors[i], label=f'$\kappa$: {kappa_vec[i]}')
+ax.grid()
+ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
+ax.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$', color=color_dim)
+ax.tick_params(axis='x', colors=color_dim)
+ax.tick_params(axis='y', colors=color_dim)
+
+for i, c_dl in enumerate(C_DL_dimless):
+    ax2.plot(Phi_pot_center_array_dimless, c_dl, color=colors[i])
+# ax2.grid()
+ax2.xaxis.tick_top()
+ax2.yaxis.tick_right()
+ax2.set_xlabel('$\delta \\varphi [-]$', color=color_dimless) 
+ax2.set_ylabel('$Q [-]$', color=color_dimless)       
+ax2.xaxis.set_label_position('top') 
+ax2.yaxis.set_label_position('right') 
+ax2.tick_params(axis='x', colors=color_dimless)
+ax2.tick_params(axis='y', colors=color_dimless)
+
+fig.legend()
+fig.tight_layout()
+fig.savefig('../../Figures/DoubleLayerCapacity/Solvation_Capacity.svg')
+fig.show()
+
+
+
+# λ
+# Load data
+data_Lambda = np.load('../../Data/DoubleLayerCapacity/Lambda.npz')
+
+Q_DL_dim_ = data_Lambda['Q_DL_dim_']
+Phi_Pot_Diff_dim = data_Lambda['Phi_Pot_Diff_dim']
+Lambda2_vec = data_Lambda['Lambda2_vec']
+Q_DL_dimless_ = data_Lambda['Q_DL_dimless_']
+Phi_Pot_Diff_dimless = data_Lambda['Phi_Pot_Diff_dimless']
+C_DL_dim = data_Lambda['C_DL_dim']
+Phi_pot_center_array_dim = data_Lambda['Phi_pot_center_array_dim']
+Phi_pot_center_array_dimless = data_Lambda['Phi_pot_center_array_dimless']
+C_DL_dimless = data_Lambda['C_DL_dimless']
+
+# Plotting
+# Charge
+fig = plt.figure()
+colors = ['tab:blue', 'tab:orange', 'tab:green']
+color_dimless = 'tab:purple'
+color_dim = 'tab:red'
+ax = fig.add_subplot(111, label="1")
+ax2 = fig.add_subplot(111, label="2", frame_on=False)
+
+# Plot dimensional data
+for i, q_dl in enumerate(Q_DL_dim_):
+    ax.plot(Phi_Pot_Diff_dim, q_dl, color=colors[i], label=f'$\lambda^2$: {Lambda2_vec[i]}')
+ax.grid()
+ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
+ax.set_ylabel('$Q$ [\u03bc$F/cm^3]$', color=color_dim)
+ax.tick_params(axis='x', colors=color_dim)
+ax.tick_params(axis='y', colors=color_dim)
+
+for i, q_dl in enumerate(Q_DL_dimless_):
+    ax2.plot(Phi_Pot_Diff_dimless, q_dl, color=colors[i])
+ax2.xaxis.tick_top()
+ax2.yaxis.tick_right()
+ax2.set_xlabel('$\delta \\varphi [-]$', color=color_dimless) 
+ax2.set_ylabel('$Q [-]$', color=color_dimless)       
+ax2.xaxis.set_label_position('top') 
+ax2.yaxis.set_label_position('right') 
+ax2.tick_params(axis='x', colors=color_dimless)
+ax2.tick_params(axis='y', colors=color_dimless)
+
+fig.legend()
+fig.tight_layout()
+fig.savefig('../../Figures/DoubleLayerCapacity/Lambda_Charge.svg')
+fig.show()
+
+
+# Double Layer Capacity
+fig = plt.figure()
+color_dimless = 'tab:purple'
+color_dim = 'tab:red'
+ax = fig.add_subplot(111, label="1")
+ax2 = fig.add_subplot(111, label="2", frame_on=False)
+
+# Plot dimensional data
+for i, c_dl in enumerate(C_DL_dim):
+    ax.plot(Phi_pot_center_array_dim, c_dl, color=colors[i], label=f'$\lambda^2$: {Lambda2_vec[i]}')
+ax.grid()
+ax.set_xlabel('$\delta \\varphi [nm]$', color=color_dim)
+ax.set_ylabel('$C_{dl}$ [\u03bc$F/cm^2]$', color=color_dim)
+ax.tick_params(axis='x', colors=color_dim)
+ax.tick_params(axis='y', colors=color_dim)
+
+for i, c_dl in enumerate(C_DL_dimless):
+    ax2.plot(Phi_pot_center_array_dimless, c_dl, color=colors[i])
+# ax2.grid()
+ax2.xaxis.tick_top()
+ax2.yaxis.tick_right()
+ax2.set_xlabel('$\delta \\varphi [-]$', color=color_dimless) 
+ax2.set_ylabel('$Q [-]$', color=color_dimless)       
+ax2.xaxis.set_label_position('top') 
+ax2.yaxis.set_label_position('right') 
+ax2.tick_params(axis='x', colors=color_dimless)
+ax2.tick_params(axis='y', colors=color_dimless)
+
+fig.legend()
+fig.tight_layout()
+fig.savefig('../../Figures/DoubleLayerCapacity/Lambda_Capacity.svg')
+fig.show()
\ No newline at end of file
-- 
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