Computational Physics - M Jensen Episode 2 Part 9 pdf
Computational Physics - M. Jensen Episode 2 Part 9 pdf
... Introduction to Computer Simulation Methods: Applica-
tions to Physical Systems, (Addison-Wesley, 199 6).
[11] M. Metcalf and J. Reid, The F90 Programming Language, (Oxford University Press,
199 6).
333
... Computer,
(Springer, 198 7).
[8] J .M. Thijssen, Computational Physics, (Springer, 199 9).
[9] R. Guardiola, E. Higon and J. Ros, Metodes Numèrics per a la Física, (Universitat de...
Computational Physics - M. Jensen Episode 2 Part 5 pdf
... value
problems and present some of the more commonly used methods for solving such problems
numerically.
The physical systems which are discussed range from a simple cooling problem to the physics
of ... In the previous physics project on bound states
in momentum space, we obtained the SE in momentum space by Eq. (13.48).
was the relative
momentum between the two particles. A partial wave...
Computational Physics - M. Jensen Episode 1 Part 9 pptx
... ran0(&idum ) ;
}
fx=brute_force_MC (x ) ;
int_mc += fx ;
sum_sigma += fx fx ;
}
int_mc = int_mc / ( ( double ) n ) ;
sum_sigma = sum_sigma / ( ( double ) n ) ;
va rianc e =sum_sigma int_mc int_mc ;
/ ... (&idum ) sq rt2 ;
}
fx=gaussian_MC ( x ) ;
int_mc += fx ;
sum_sigma += fx fx ;
}
164 CHAPTER 10. RANDOM WALKS AND THE METROPOLIS ALGORITHM
This mimicks the way a real system reaches i...
Computational Physics - M. Jensen Episode 2 Part 1 ppsx
... mc sampling
mc_sampling ( m ax_tr ials , number_walks , move_probability ,
walk_cumulative , walk2_cumulative ) ;
/ / P ri nt out r e s u l t s
ou tput ( m ax_trials , number_walks , walk_cumulative ... extends from number_walks to +number_walks
programs/chap10/program2.cpp
/
1 dim random walk program .
A walker makes se ver al t r i a l s ste p s with
a given number of walks per t r i a...
Computational Physics - M. Jensen Episode 2 Part 2 doc
... to recompile the program when larger systems are considered.
11 .2. 1 Program for the two-dimensional Ising Model
programs/chap11/program1.cpp
/
Program to solve the two dimensional I sin g model
The ... conditions.
For our two-dimensional lattice we obtain the following partition function
(11 .22 )
and mean energy
(11 .23 )
20 4 CHAPTER 12. QUANTUM MONTE CARLO METHODS
which can be rewritten...
Computational Physics - M. Jensen Episode 2 Part 3 pps
... 0.00000E+00
1.10000E+00 1. 026 21E+00 5 .95 716E- 02 7.71 826 E-04
1 .20 000E+00 1.08667E+00 2. 23389E-01 1. 494 62E-03
1.30000E+00 1.17168E+00 4.78446E-01 2. 18734E-03
1.40000E+00 1 .26 374E+00 8.55 524 E-01 2. 92 4 93 E-03
1.50000E+00 ... 1.50 495 E+00 2. 327 82E+00 4. 824 75E-03
7.00000E-01 1 .23 264E+00 9. 824 79E-01 3.13445E-03
8.00000E-01 1.08007E+00 3.44857E-01 1.85703E-03
9. 0...
Computational Physics - M. Jensen Episode 2 Part 4 ppsx
... 8.568442E+00
100 9. 974 893 E-01 2. 98 7442E+00 4 .96 727 7E+00 6 .93 691 3E+00 8. 89 628 2E+00
20 0 9. 993 715E-01 2. 99 6864E+00 4 .99 1877E+00 6 .98 4335E+00 8 .97 4301E+00
400 9. 998 464E-01 2. 99 92 1 9E+00 4 .99 797 6E+00 6 .99 6 094 E+00 ... 4 .99 797 6E+00 6 .99 6 094 E+00 8 .99 3 599 E+00
1000 1.000053E+00 2. 99 991 7E+00 4 .99 9 723 E+00 6 .99 9353E+00 8 .99 9016E+00
Th...
Computational Physics - M. Jensen Episode 2 Part 6 pptx
... Four
different methods have been used to solve the equations, Euler’s method from Eq. (14.17), the
half-step method, Euler-Richardson’s method in Eqs. (14. 32 )-( 14.33) and finally the fourth-order
Runge-Kutta ... h_alt , h_neu , hh , errmax ;
double yout [ 2] , y_h [ 2] , y _m [2] , y1 [ 2] , y2 [ 2 ] , delt a [ 2] , ys cal [ 2 ];
const double eps =1.0e 6;
const double s a fet y...
Computational Physics - M. Jensen Episode 2 Part 7 pot
... eigenvalues until Eq. (15 .23 ) is satisfied.
14 .9. PHYSICS PROJECT: STUDIES OF NEUTRON STARS 29 1
Quantity Units
MeVfm
MeVfm
fm
MeVc
Kg= MeVc
1 Kg = MeVc
m
MeV c
197 . 327 MeVfm
list here the units of ... bisection methods discussed in chapter 8.
The algorithm could then take the following form
Initialise the problem by choosing minimum and maximum values for the energy, and
, the maxi...
Computational Physics - M. Jensen Episode 2 Part 8 docx
... transition
17.1.1 The histogram method
17.1 .2 Multi-histogram method
17 .2 Renormalization group approach
3 19
324 CHAPTER 19. DIFFUSION MONTE CARLO METHODS
This derivation shares many formal similarities with ... however, the importance sampled DMC method of Eq. ( 19. 10) must be trans-
formed into a form suitable for Monte Carlo integration. The transformation is more complex
than for V...