def d(s=s_current):
x()
for i in range(1, N):
D[i] = const * (X[i + 1] - X[i - 1]) * (
((X[i] / 2) * integral_1_2(PHI_S[s_current][i] / X[i]) -
PHI_S[s_current][i] / 4 *
integral_minus_1_2(PHI_S[s_current][i] / X[i])))
def alpha(s=s_current):
x()
for i in range(N - 1, -1, -1):
if i == N - 1:
ALPHA[i] = 1 / (1 - h(N) + h(N)**2 / 4 * const *
integral_minus_1_2(PHI_S[s_current][N]))
else:
ALPHA[i] = -A[i + 1] / (B[i + 1] + C[i + 1] * ALPHA[i + 1])
def beta(s=s_current):
x()
for i in range(N - 1, -1, -1):
if i == N - 1:
BETA[i] = -h(N)**2 / 2 * const * (
integral_1_2(PHI_S[s_current][N]) - PHI_S[s_current][i] / 2 *
integral_minus_1_2(PHI_S[s_current][N])) * ALPHA[N - 1]
else:
BETA[i] = (D[i + 1] - C[i + 1] * BETA[i + 1]) / (
B[i + 1] + C[i + 1] * ALPHA[i + 1])
def progonka(s):
s_current = 0
while s_current < s:
for i in range(1, N):
B[i] = -A[i] - C[i] - const / 4 * (X[i + 1] -
X[i - 1]) * integral_minus_1_2(
PHI_S[s_current][i] / X[i])
D[i] = const * (X[i + 1] - X[i - 1]) * (
(X[i] / 2 * integral_1_2(PHI_S[s_current][i] / X[i])) -
PHI_S[s_current][i] / 4 *
integral_minus_1_2(PHI_S[s_current][i] / X[i]))
for i in range(N - 1, -1, -1):
if i == N - 1:
ALPHA[i] = 1 / (1 - h(N) + h(N)**2 / 4 * const *
integral_minus_1_2(PHI_S[s_current][N]))
BETA[i] = -h(N)**2 / 2 * const * (
integral_1_2(PHI_S[s_current][N]) - PHI_S[s_current][i] /
2 * integral_minus_1_2(PHI_S[s_current][N])) * ALPHA[N - 1]
else:
ALPHA[i] = -A[i + 1] / (B[i + 1] + C[i + 1] * ALPHA[i + 1])
BETA[i] = (D[i + 1] - C[i + 1] * BETA[i + 1]) / (
B[i + 1] + C[i + 1] * ALPHA[i + 1])
# ИСКОМОЕ УРАВНЕНИЕ
for i in range(N + 1):
if i == 0:
Y[i] = z / (theta(T) * r_0(rho))
else:
Y[i] = ALPHA[i - 1] * Y[i - 1] + BETA[i - 1]
for i in range(N + 1):
RESULT[s_current][i] = PHI_S[s_current][i] * theta(T)
for i in range(N + 1):
PHI_S[s_current + 1][i] = Y[i]
s_current += 1
def progonka(T, rho, Atom_weight, z):
# константа а в уравнении
const_a = 4 * (2 * theta(T))**0.5 / pi * (r_0(rho, Atom_weight))**2
PHI_S = [[0 for i in range(N + 1)] for j in range(s + 1)]
RESULT = [[0 for i in range(N + 1)] for j in range(s)]
for i in range(N + 1):
if i == 0:
PHI_S[0][0] = z / (theta(T) * r_0(rho, Atom_weight))
else:
PHI_S[0][i] = z / (theta(T) * r_0(rho, Atom_weight)) * (
1 - 3 / 2 * X[i] + 1 / 2 * (X[i])**3) - eta_0(T, rho) * X[i]
s_current = 0
while s_current < s:
B = [0] + [
-A[i] - C[i] - const_a / 4 * (X[i + 1] - X[i - 1]) *
integral_minus_1_2(PHI_S[s_current][i] / X[i])
for i in range(1, N)
]
D = [0] + [
const_a * (X[i + 1] - X[i - 1]) *
((X[i] / 2 * integral_1_2(PHI_S[s_current][i] / X[i])) -
PHI_S[s_current][i] / 4 *
integral_minus_1_2(PHI_S[s_current][i] / X[i]))
for i in range(1, N)
]
ALPHA = [0] * (N + 1)
BETA = [0] * (N + 1)
for i in range(N - 1, -1, -1):
if i == N - 1:
ALPHA[i] = 1 / (1 - h_N + h_N**2 / 4 * const_a *
integral_minus_1_2(PHI_S[s_current][N]))
BETA[i] = -h_N**2 / 2 * const_a * (
integral_1_2(PHI_S[s_current][N]) - PHI_S[s_current][i] /
2 * integral_minus_1_2(PHI_S[s_current][N])) * ALPHA[N - 1]
else:
ALPHA[i] = -A[i + 1] / (B[i + 1] + C[i + 1] * ALPHA[i + 1])
BETA[i] = (D[i + 1] - C[i + 1] * BETA[i + 1]) / (
B[i + 1] + C[i + 1] * ALPHA[i + 1])
# ИСКОМОЕ УРАВНЕНИЕ
Y = [0] * (N + 1)
for i in range(N + 1):
if i == 0:
Y[i] = z / (theta(T) * r_0(rho, Atom_weight))
else:
Y[i] = ALPHA[i - 1] * Y[i - 1] + BETA[i - 1]
for i in range(N + 1):
RESULT[s_current][i] = PHI_S[s_current][i] * theta(T)
for i in range(N + 1):
PHI_S[s_current + 1][i] = Y[i]
s_current += 1
PHI = [RESULT[8][i] / theta(T) for i in range(N + 1)]
##СТРОИМ ГРАФИК
#fig = plt.figure()
#for i in range(s):
# graph1 = plt.plot(X, PHI)
#plt.title("T = 0 keV")
#plt.grid(True)
#
#plt.xlabel('x')
#plt.ylabel('y(s)')
#plt.savefig('progonka1')
#plt.show()
return PHI
def delta_mu(T, rho):
HI = hi(T, rho)
PHI = progonka(T, rho)
return (2 * theta(T))**(1 / 2) / (6 * math.pi) * (
1 / 2 * integral_minus_1_2(PHI[N]) + HI[N])
def progonka_2N(T, rho):
# константа а в уравнении
const_a = 4 * (2 * theta(T))**0.5 / pi * (r_0(rho))**2
PHI_S = [[0 for i in range(N + 1)] for j in range(s + 1)]
RESULT = [[0 for i in range(N + 1)] for j in range(s)]
for i in range(N + 1):
if i == 0:
PHI_S[0][0] = z / (theta(T) * r_0(rho))
else:
PHI_S[0][i] = z / (theta(T) *
r_0(rho)) * (1 - 3 / 2 * U[i] + 1 / 2 *
(U[i])**3) - eta_0(T, rho) * U[i]
s_current = 0
while s_current < s:
B = [0] + [
-4 * U[i] * (1 + const_a * h_N**2 * U[i]**2 *
integral_minus_1_2(PHI_S[s_current][i] / U[i]**2))
for i in range(1, N)
]
D = [0] + [
4 * const_a * h_N**2 * U[i]**3 *
(2 * U[i]**2 * integral_1_2(PHI_S[s_current][i] / U[i]**2) -
PHI_S[s_current][i] *
integral_minus_1_2(PHI_S[s_current][i] / U[i]**2))
for i in range(1, N)
]
ALPHA = [0] * (N + 1)
BETA = [0] * (N + 1)
for i in range(N - 1, -1, -1):
if i == N - 1:
ALPHA[i] = 1 / (
1 - 2 * h_N + h_N**2 *
(1 + const_a * integral_minus_1_2(PHI_S[s_current][N])))
BETA[i] = -h_N**2 * const_a * (
2 * integral_1_2(PHI_S[s_current][N]) - PHI_S[s_current][i]
* integral_minus_1_2(PHI_S[s_current][N])) * ALPHA[N - 1]
else:
ALPHA[i] = -A[i + 1] / (B[i + 1] + C[i + 1] * ALPHA[i + 1])
BETA[i] = (D[i + 1] - C[i + 1] * BETA[i + 1]) / (
B[i + 1] + C[i + 1] * ALPHA[i + 1])
# ИСКОМОЕ УРАВНЕНИЕ
Y = [0] * (N + 1)
for i in range(N + 1):
if i == 0:
Y[i] = z / (theta(T) * r_0(rho))
else:
Y[i] = ALPHA[i - 1] * Y[i - 1] + BETA[i - 1]
for i in range(N + 1):
RESULT[s_current][i] = PHI_S[s_current][i] * theta(T)
for i in range(N + 1):
PHI_S[s_current + 1][i] = Y[i]
s_current += 1
PHI = [RESULT[8][i] / theta(T) for i in range(N + 1)]
return PHI
def b(s=s_current):
x()
for i in range(1, N):
B[i] = -A[i] - C[i] - const / 4 * (X[i + 1] -
X[i - 1]) * integral_minus_1_2(
PHI_S[s_current][i] / X[i])