User contributions for Ks4817

20 November 2019

• 08:4908:49, 20 November 2019 diff hist +685 Rep:3CMPks4817 /* TASK: Implement a single cycle of the above algorithm in the montecarlocycle(T) function. This function should return the energy of your lattice and the magnetisation at the end of the cycle. You may assume that the energy returned by your energy()...
• 08:4208:42, 20 November 2019 diff hist +364 Rep:3CMPks4817 /* TASK: Look at the documentation for the NumPy sum function. You should be able to modify your magnetisation() function so that it uses this to evaluate M. The energy is a little trickier. Familiarise yourself with the NumPy roll and multiply functio...
• 08:3808:38, 20 November 2019 diff hist +367 Rep:3CMPks4817 /* TASK: complete the functions energy() and magnetisation(), which should return the energy of the lattice and the total magnetisation, respectively. In the energy() function you may assume that J=1.0 at all times (in fact, we are working in reduced unit
• 08:3308:33, 20 November 2019 diff hist +4,503 Rep:3CMPks4817 No edit summary

12 November 2019

• 17:3317:33, 12 November 2019 diff hist −1 Rep:3CMPks4817 /* TASK: Use ILtemperaturerange.py to plot the average energy and magnetisation for each temperature, with error bars, for an 8\times 8 lattice. Use your intuition and results from the script ILfinalframe.py to estimate how many cycles each simulation...
• 16:4316:43, 12 November 2019 diff hist +85 Rep:3CMPks4817 /* TASK: The script ILfinalframe.py runs for a given number of cycles at a given temperature, then plots a depiction of the final lattice state as well as graphs of the energy and magnetisation as a function of cycle number. This is much quicker than a...
• 16:4316:43, 12 November 2019 diff hist +677 Rep:3CMPks4817 /* TASK: The script ILfinalframe.py runs for a given number of cycles at a given temperature, then plots a depiction of the final lattice state as well as graphs of the energy and magnetisation as a function of cycle number. This is much quicker than a...
• 15:4115:41, 12 November 2019 diff hist +330 Rep:3CMPks4817 /* TASK: Use the script ILtimetrial.py to record how long your new version of IsingLattice.py takes to perform 2000 Monte Carlo steps. This will vary, depending on what else the computer happens to be doing, so perform repeats and report the error in y...
• 15:3115:31, 12 November 2019 diff hist +244 Rep:3CMPks4817 No edit summary
• 15:0015:00, 12 November 2019 diff hist 0 N File:Ks4817RunningILanimaverages.png No edit summary current
• 14:5914:59, 12 November 2019 diff hist 0 N File:Ks4817RunningILanim.png No edit summary current
• 14:5914:59, 12 November 2019 diff hist +77 Rep:3CMPks4817 No edit summary
• 14:5814:58, 12 November 2019 diff hist +443 Rep:3CMPks4817 /* TASK: If T < T_C, do you expect a spontaneous magnetisation (i.e. do you expect \left\langle M\right\rangle \neq 0)? When the state of the simulation appears to stop changing (when you have reached an equilibrium state), use the controls to export t...
• 13:5513:55, 12 November 2019 diff hist −15 Rep:3CMPks4817 /* TASK: Implement a single cycle of the above algorithm in the montecarlocycle(T) function. This function should return the energy of your lattice and the magnetisation at the end of the cycle. You may assume that the energy returned by your energy() fun
• 12:2312:23, 12 November 2019 diff hist +2,078 Rep:3CMPks4817 No edit summary
• 12:1512:15, 12 November 2019 diff hist +20 Rep:3CMPks4817 /* TASK: Use the script ILtimetrial.py to record how long your current version of IsingLattice.py takes to perform 2000 Monte Carlo steps. This will vary, depending on what else the computer happens to be doing, so perform repeats and report the error...
• 12:1412:14, 12 November 2019 diff hist +82 Rep:3CMPks4817 /* TASK: Use the script ILtimetrial.py to record how long your current version of IsingLattice.py takes to perform 2000 Monte Carlo steps. This will vary, depending on what else the computer happens to be doing, so perform repeats and report the error...
• 12:0112:01, 12 November 2019 diff hist +2,721 Rep:3CMPks4817 No edit summary

11 November 2019

• 15:5215:52, 11 November 2019 diff hist +1,419 Rep:3CMPks4817 No edit summary
• 15:4215:42, 11 November 2019 diff hist −18 Rep:3CMPks4817 No edit summary
• 15:4215:42, 11 November 2019 diff hist +8 Rep:3CMPks4817 No edit summary
• 15:4115:41, 11 November 2019 diff hist +701 Rep:3CMPks4817 No edit summary
• 15:3915:39, 11 November 2019 diff hist 0 N File:Ks4817RunningILcheck.png No edit summary current
• 15:3915:39, 11 November 2019 diff hist 0 Rep:3CMPks4817 →TASK: Run the ILcheck.py script from the IPython Qt console using the command
• 15:3815:38, 11 November 2019 diff hist +35 Rep:3CMPks4817 No edit summary
• 15:3615:36, 11 November 2019 diff hist −2 Rep:3CMPks4817 No edit summary
• 13:0213:02, 11 November 2019 diff hist +1,528 Rep:3CMPks4817 No edit summary
• 12:3212:32, 11 November 2019 diff hist +60 Rep:3CMPks4817 /* TASK: Imagine that the system is in the lowest energy configuration. To move to a different state, one of the spins must spontaneously change direction ("flip"). What is the change in energy if this happens (D=3,\ N=1000)? How much entropy does the...
• 11:5111:51, 11 November 2019 diff hist +134 Rep:3CMPks4817 No edit summary
• 11:5011:50, 11 November 2019 diff hist 0 Rep:3CMPks4817 No edit summary
• 11:5011:50, 11 November 2019 diff hist 0 Rep:3CMPks4817 No edit summary
• 11:5011:50, 11 November 2019 diff hist +363 Rep:3CMPks4817 No edit summary
• 11:2811:28, 11 November 2019 diff hist +16 Rep:3CMPks4817 No edit summary
• 11:2711:27, 11 November 2019 diff hist +70 Rep:3CMPks4817 No edit summary
• 11:2111:21, 11 November 2019 diff hist +6 Rep:3CMPks4817 No edit summary
• 11:2011:20, 11 November 2019 diff hist +13 Rep:3CMPks4817 No edit summary
• 11:1911:19, 11 November 2019 diff hist +4 Rep:3CMPks4817 No edit summary
• 11:1811:18, 11 November 2019 diff hist −1 Rep:3CMPks4817 No edit summary
• 11:1211:12, 11 November 2019 diff hist −8 Rep:3CMPks4817 No edit summary
• 11:1111:11, 11 November 2019 diff hist +2 Rep:3CMPks4817 No edit summary
• 11:1111:11, 11 November 2019 diff hist −12 Rep:3CMPks4817 No edit summary
• 11:0911:09, 11 November 2019 diff hist +1,352 Rep:3CMPks4817 No edit summary
• 10:1810:18, 11 November 2019 diff hist +469 Rep:3CMPks4817 No edit summary
• 10:1710:17, 11 November 2019 diff hist +218 N Rep:3CMPks4817 Created page with "== TASK: Show that the lowest possible energy for the Ising model is E\ =\ -DNJ, where D is the number of dimensions and N is the total number of spins. What is the multiplici..."

24 May 2019

• 16:2516:25, 24 May 2019 diff hist +4 MRD:ks4817 →Exercise 2
• 16:2216:22, 24 May 2019 diff hist +122 MRD:ks4817 →Exercise 2
• 16:2016:20, 24 May 2019 diff hist 0 N File:Ks4817rot.png No edit summary current
• 16:2016:20, 24 May 2019 diff hist +165 MRD:ks4817 →Exercise 2
• 16:1716:17, 24 May 2019 diff hist −68 MRD:ks4817 →Exercise 2
• 16:1416:14, 24 May 2019 diff hist −2 MRD:ks4817 →References