User contributions for Cg1417

20 November 2019

• 07:5107:51, 20 November 2019 diff hist 0 Rep:Y3CMPCG1417 →TASK: Calculate the magnetisation of the 1D and 2D lattices in Figure 2. What magnetisation would you expect to observe for an Ising lattice with D = 3,\ N=1000 at absolute zero?
• 07:5007:50, 20 November 2019 diff hist −42 Rep:Y3CMPCG1417 →Section 1 - Introduction to the Ising Model
• 07:4907:49, 20 November 2019 diff hist −33 Rep:Y3CMPCG1417 →Section 1 - Introduction to the Ising Model
• 07:4907:49, 20 November 2019 diff hist −2 Rep:Y3CMPCG1417 →Section 1 - Introduction to the Ising Model
• 07:4507:45, 20 November 2019 diff hist +13 Rep:Y3CMPCG1417 /* 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...
• 07:4407:44, 20 November 2019 diff hist +104 Rep:Y3CMPCG1417 /* TASK: Write a Python script to make a plot showing the heat capacity versus temperature for each of your lattice sizes from the previous section. You may need to do some research to recall the connection between the variance of a variable, \mathrm{V...
• 07:4307:43, 20 November 2019 diff hist +106 Rep:Y3CMPCG1417 /* TASK: Repeat the final task of the previous section for the following lattice sizes: 2x2, 4x4, 8x8, 16x16, 32x32. Make sure that you name each datafile that your produce after the corresponding lattice size! Write a Python script to make a plot show...
• 07:4107:41, 20 November 2019 diff hist −16 Rep:Y3CMPCG1417 →Section 5 - The effect of temperature
• 07:4007:40, 20 November 2019 diff hist +125 Rep:Y3CMPCG1417 →TASK: Calculate the magnetisation of the 1D and 2D lattices in figure 1. What magnetisation would you expect to observe for an Ising lattice with D = 3,\ N=1000 at absolute zero?
• 07:3607:36, 20 November 2019 diff hist 0 Rep:Y3CMPCG1417 /* 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...
• 07:3507:35, 20 November 2019 diff hist +4 Rep:Y3CMPCG1417 →Section 3 - Introduction to Monte Carlo Simulation
• 07:3107:31, 20 November 2019 diff hist +2 Rep:Y3CMPCG1417 /* 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...
• 07:3007:30, 20 November 2019 diff hist −4 Rep:Y3CMPCG1417 /* TASK: If T , 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 the outpu
• 07:2307:23, 20 November 2019 diff hist +63 Rep:Y3CMPCG1417 →Section 3 - Introduction to Monte Carlo Simulation
• 06:2006:20, 20 November 2019 diff hist +30 Rep:Y3CMPCG1417 /* 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 u...
• 06:1806:18, 20 November 2019 diff hist +664 Rep:Y3CMPCG1417 →Section 1 - Introduction to the Ising Model
• 05:5805:58, 20 November 2019 diff hist +667 Rep:Y3CMPCG1417 /* 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 s...
• 05:4605:46, 20 November 2019 diff hist −1 Rep:Y3CMPCG1417 →Section 1 - Introduction to the Ising Model
• 05:4405:44, 20 November 2019 diff hist +1,523 Rep:Y3CMPCG1417 /* TASK: find the temperature at which the maximum in C occurs for each datafile that you were given. Make a text file containing two colums: the lattice side length (2,4,8, etc.), and the temperature at which C is a maximum. This is your estimate of T_C
• 05:1405:14, 20 November 2019 diff hist 0 N File:Cg1417CurieTemp.png No edit summary current
• 04:0704:07, 20 November 2019 diff hist +748 Rep:Y3CMPCG1417 →TASK: Modify your script from the previous section. You should still plot the whole temperature range, but fit the polynomial only to the peak of the heat capacity! You should find it easier to get a good fit when restricted to this region
• 04:0604:06, 20 November 2019 diff hist +19 Rep:Y3CMPCG1417 →TASK: Modify your script from the previous section. You should still plot the whole temperature range, but fit the polynomial only to the peak of the heat capacity! You should find it easier to get a good fit when restricted to this region
• 04:0504:05, 20 November 2019 diff hist +2,967 Rep:Y3CMPCG1417 →Section 8 - Locating the Curie Temperature
• 04:0104:01, 20 November 2019 diff hist 0 N File:CG1417FIT 16x16C 3.png No edit summary current
• 03:4103:41, 20 November 2019 diff hist 0 N File:Cg1417FIT TEST16x16 35.png No edit summary current
• 03:0503:05, 20 November 2019 diff hist 0 N File:Cg141716x16C++.png No edit summary current
• 02:5502:55, 20 November 2019 diff hist +632 Rep:Y3CMPCG1417 /* TASK: Write a Python script to make a plot showing the heat capacity versus temperature for each of your lattice sizes from the previous section. You may need to do some research to recall the connection between the variance of a variable, \mathrm{V...
• 02:1302:13, 20 November 2019 diff hist +679 Rep:Y3CMPCG1417 →Section 7 - Determining the Heat Capacity
• 02:1302:13, 20 November 2019 diff hist 0 N File:Cg141732x32heatcap.png No edit summary current
• 02:1102:11, 20 November 2019 diff hist 0 N File:Cg141716x16heatcap.png No edit summary current
• 02:1102:11, 20 November 2019 diff hist 0 N File:Cg14178x8heatcap.png No edit summary current
• 02:1102:11, 20 November 2019 diff hist 0 N File:Cg14174x4heatcap.png No edit summary current
• 02:1102:11, 20 November 2019 diff hist 0 N File:Cg14172x2heatcap.png No edit summary current
• 01:5301:53, 20 November 2019 diff hist +2,276 Rep:Y3CMPCG1417 →Section 7 - Determining the Heat Capacity

19 November 2019

• 23:5923:59, 19 November 2019 diff hist +42 Rep:Y3CMPCG1417 No edit summary
• 23:5823:58, 19 November 2019 diff hist +928 Rep:Y3CMPCG1417 →Section 6 - The effect of system size
• 22:3622:36, 19 November 2019 diff hist +3,468 Rep:Y3CMPCG1417 →Section 5 - The effect of temperature
• 22:2822:28, 19 November 2019 diff hist 0 N File:Cg141732x32error.png No edit summary current
• 22:2722:27, 19 November 2019 diff hist 0 N File:Cg141716x16error.png No edit summary current
• 22:2722:27, 19 November 2019 diff hist 0 N File:16x16error.png No edit summary current
• 22:2722:27, 19 November 2019 diff hist 0 N File:4x4error.png No edit summary current
• 22:2622:26, 19 November 2019 diff hist 0 N File:Cg14178x8error.png No edit summary current
• 22:2422:24, 19 November 2019 diff hist 0 N File:Cg14172x2error.png No edit summary current
• 22:2222:22, 19 November 2019 diff hist 0 N File:Cg14172x2error.pdf No edit summary current
• 22:0122:01, 19 November 2019 diff hist +3,358 Rep:Y3CMPCG1417 →Section 5 - The effect of temperature
• 21:1921:19, 19 November 2019 diff hist 0 N File:Cg141732x32T2.png No edit summary current
• 21:1821:18, 19 November 2019 diff hist 0 N File:Cg141732x32T1.png No edit summary current
• 21:1821:18, 19 November 2019 diff hist 0 N File:Cg141716x16T2.png No edit summary current
• 21:1821:18, 19 November 2019 diff hist 0 N File:Cg141716x16T1.png No edit summary current
• 21:1721:17, 19 November 2019 diff hist 0 N File:Cg14178x8T2.png No edit summary current