User contributions for Hhc16

02:4602:46, 21 November 2018 diff hist −2 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: How many configurations are available to a system with 100 spins? To evaluate these expressions, we have to calculate the energy and magnetisation for each of these configurations, then perform the sum. Let's be very, very, generous, and say t...
02:4602:46, 21 November 2018 diff hist −1 Rep:Simulations of a 2D Ising Model (hhc16) →Testing the Files
02:4502:45, 21 November 2018 diff hist +1 Rep:Simulations of a 2D Ising Model (hhc16) →Testing the Files
02:4402:44, 21 November 2018 diff hist −15 Rep:Simulations of a 2D Ising Model (hhc16) /* 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. The efficiency of the code will be...
02:4402:44, 21 November 2018 diff hist +31 Rep:Simulations of a 2D Ising Model (hhc16) /* 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. The efficiency of the code will be...
02:4302:43, 21 November 2018 diff hist +57 Rep:Simulations of a 2D Ising Model (hhc16) →TASK: Calculate the magnetisation of the 1D and 2D lattices below. What magnetisation would you expect to observe for an Ising lattice with D = 3,\ N=1000 at absolute zero?
02:4102:41, 21 November 2018 diff hist +39 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
02:3702:37, 21 November 2018 diff hist 0 File:CurieT C HHSC.png Hhc16 uploaded a new version of File:CurieT C HHSC.png current
02:3502:35, 21 November 2018 diff hist 0 N File:CurieT C HHSC.png No edit summary
02:3502:35, 21 November 2018 diff hist 0 N File:CurieT HHSC.png No edit summary current
02:3502:35, 21 November 2018 diff hist +345 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: find the temperature at which the maximum in C occurs for each datafile that you were given. Make a text file containing two columns: the lattice side length (2,4,8, etc.), and the temperature at which C is a maximum. This is your estimate of...
02:3202:32, 21 November 2018 diff hist +1,101 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: find the temperature at which the maximum in C occurs for each datafile that you were given. Make a text file containing two columns: the lattice side length (2,4,8, etc.), and the temperature at which C is a maximum. This is your estimate of...
01:4701:47, 21 November 2018 diff hist +110 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
01:3401:34, 21 November 2018 diff hist +151 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: find the temperature at which the maximum in C occurs for each datafile that you were given. Make a text file containing two columns: the lattice side length (2,4,8, etc.), and the temperature at which C is a maximum. This is your estimate of...
01:1901:19, 21 November 2018 diff hist +290 Rep:Simulations of a 2D Ising Model (hhc16) →Polynomial Fitting
00:3600:36, 21 November 2018 diff hist +24 Rep:Simulations of a 2D Ising Model (hhc16) →Polynomial Fitting

23:1823:18, 20 November 2018 diff hist +27 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
23:1523:15, 20 November 2018 diff hist +16 Rep:Simulations of a 2D Ising Model (hhc16) →The Model
22:4622:46, 20 November 2018 diff hist 0 N File:Fitted2 HHSC.gif No edit summary current
22:4522:45, 20 November 2018 diff hist 0 N File:Fitted HHSC.gif No edit summary current
22:4422:44, 20 November 2018 diff hist −6 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: write a script to read the data from a particular file, and plot C vs T, as well as a fitted polynomial. Try changing the degree of the polynomial to improve the fit — in general, it might be difficult to get a good fit! Attach a PNG of...
22:4422:44, 20 November 2018 diff hist −5 Rep:Simulations of a 2D Ising Model (hhc16) →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.
22:4222:42, 20 November 2018 diff hist +133 Rep:Simulations of a 2D Ising Model (hhc16) →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.
22:4222:42, 20 November 2018 diff hist +133 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: write a script to read the data from a particular file, and plot C vs T, as well as a fitted polynomial. Try changing the degree of the polynomial to improve the fit — in general, it might be difficult to get a good fit! Attach a PNG of...
22:3422:34, 20 November 2018 diff hist +102 Rep:Simulations of a 2D Ising Model (hhc16) →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.
22:2622:26, 20 November 2018 diff hist +93 Rep:Simulations of a 2D Ising Model (hhc16) →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.
22:2322:23, 20 November 2018 diff hist +1,194 Rep:Simulations of a 2D Ising Model (hhc16) →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.
21:0921:09, 20 November 2018 diff hist +19 Rep:Simulations of a 2D Ising Model (hhc16) →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.
21:0021:00, 20 November 2018 diff hist +27 Rep:Simulations of a 2D Ising Model (hhc16) →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.
20:5920:59, 20 November 2018 diff hist +93 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: write a script to read the data from a particular file, and plot C vs T, as well as a fitted polynomial. Try changing the degree of the polynomial to improve the fit — in general, it might be difficult to get a good fit! Attach a PNG of...
20:5720:57, 20 November 2018 diff hist +102 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: write a script to read the data from a particular file, and plot C vs T, as well as a fitted polynomial. Try changing the degree of the polynomial to improve the fit — in general, it might be difficult to get a good fit! Attach a PNG of...
20:5320:53, 20 November 2018 diff hist +162 Rep:Simulations of a 2D Ising Model (hhc16) →Polynomial Fitting
20:4720:47, 20 November 2018 diff hist +23 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. You can view its source code here if you are interested. Each file contains six columns: T, E, E^2, M, M^2, C (the final...
20:4520:45, 20 November 2018 diff hist +63 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. You can view its source code here if you are interested. Each file contains six columns: T, E, E^2, M, M^2, C (the final...
20:4420:44, 20 November 2018 diff hist +1,330 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: write a script to read the data from a particular file, and plot C vs T, as well as a fitted polynomial. Try changing the degree of the polynomial to improve the fit — in general, it might be difficult to get a good fit! Attach a PNG of...
20:2120:21, 20 November 2018 diff hist +107 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
20:1420:14, 20 November 2018 diff hist +446 Rep:Simulations of a 2D Ising Model (hhc16) →Polynomial Fitting
20:1320:13, 20 November 2018 diff hist −445 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. You can view its source code here if you are interested. Each file contains six columns: T, E, E^2, M, M^2, C (the final...
20:0620:06, 20 November 2018 diff hist +29 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. You can view its source code here if you are interested. Each file contains six columns: T, E, E^2, M, M^2, C (the final...
20:0620:06, 20 November 2018 diff hist +34 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
20:0420:04, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
20:0320:03, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
20:0320:03, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
20:0220:02, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
20:0120:01, 20 November 2018 diff hist +765 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
19:5919:59, 20 November 2018 diff hist +238 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. You can view its source code here if you are interested. Each file contains six columns: T, E, E^2, M, M^2, C (the final...
19:5319:53, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
19:4919:49, 20 November 2018 diff hist +4 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. You can view its source code here if you are interested. Each file contains six columns: T, E, E^2, M, M^2, C (the final...
19:3319:33, 20 November 2018 diff hist +20 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
19:3319:33, 20 November 2018 diff hist +9 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...

21 November 2018

20 November 2018