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20 November 2018
- 20:1020:10, 20 November 2018 diff hist 0 Rep:Cmpjp2916 /* 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...
- 20:1020:10, 20 November 2018 diff hist −5 Rep:Cmpjp2916 /* 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...
- 20:1020:10, 20 November 2018 diff hist +5 Rep:Cmpjp2916 /* 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...
- 20:0920:09, 20 November 2018 diff hist 0 Rep:Cmpjp2916 /* 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...
- 20:0920:09, 20 November 2018 diff hist +35 Rep:Cmpjp2916 /* 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...
- 20:0820:08, 20 November 2018 diff hist 0 N File:Ilchkenjp2916.png.jpg No edit summary current
- 20:0720:07, 20 November 2018 diff hist +194 Rep:Cmpjp2916 /* 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...
- 20:0520:05, 20 November 2018 diff hist +171 Rep:Cmpjp2916 /* 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...
- 20:0220:02, 20 November 2018 diff hist +271 Rep:Cmpjp2916 /* 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...
- 19:4219:42, 20 November 2018 diff hist −361 Rep:Cmpjp2916 →Accelerating the Code
- 19:4119:41, 20 November 2018 diff hist −34 Rep:Cmpjp2916 →Accelerating the Code
- 19:4119:41, 20 November 2018 diff hist −15 Rep:Cmpjp2916 /* 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...
- 19:4019:40, 20 November 2018 diff hist +220 Rep:Cmpjp2916 /* 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...
- 19:2819:28, 20 November 2018 diff hist +305 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...
- 19:1519:15, 20 November 2018 diff hist −1 Rep:Cmpjp2916 →Background
- 19:1119:11, 20 November 2018 diff hist −19 Rep:Cmpjp2916 →Background
- 19:1019:10, 20 November 2018 diff hist +65 Rep:Cmpjp2916 →Background
- 19:0819:08, 20 November 2018 diff hist +37 Rep:Cmpjp2916 →Background
- 19:0819:08, 20 November 2018 diff hist 0 N File:Flowjp2916.png No edit summary current
- 18:4718:47, 20 November 2018 diff hist +1,568 Rep:Cmpjp2916 →Background
- 18:2018:20, 20 November 2018 diff hist +17 Rep:Cmpjp2916 No edit summary
- 18:0318:03, 20 November 2018 diff hist +32 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...
- 17:5917:59, 20 November 2018 diff hist −2 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...
- 17:5817:58, 20 November 2018 diff hist +186 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...
- 17:5217:52, 20 November 2018 diff hist +7 Rep:Cmpjp2916 /* 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 an e...
- 17:5217:52, 20 November 2018 diff hist 0 N File:Polyjp2916.png No edit summary current
- 17:5117:51, 20 November 2018 diff hist +454 Rep:Cmpjp2916 /* 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 an e...
- 17:2717:27, 20 November 2018 diff hist +48 Rep:Cmpjp2916 →TASK: A C++ program has been used to run some much longer simulations than would be possible on the college computers in Python. For each lattice size, plot the C++ data against your data.
- 17:2617:26, 20 November 2018 diff hist +48 Rep:Cmpjp2916 →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.
- 17:2317:23, 20 November 2018 diff hist +2 Rep:Cmpjp2916 →TASK: Repeat the final task of the previous section for the following lattice sizes: 2x2, 4x4, 8x8, 16x16, 32x32. How big a lattice do you think is big enough to capture the long range fluctuations?
- 17:2217:22, 20 November 2018 diff hist +13 Rep:Cmpjp2916 /* 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 ou...
- 17:2117:21, 20 November 2018 diff hist 0 N File:Params.csv No edit summary current
- 17:2017:20, 20 November 2018 diff hist +94 Rep:Cmpjp2916 /* TASK: How many cycles are typically needed for the system to go from its random starting position to the equilibrium state? Modify your statistics() and montecarlostep() functions so that the first N cycles of the simulation are ignored when calcula...
- 17:1517:15, 20 November 2018 diff hist +557 Rep:Cmpjp2916 /* 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 ou...
- 17:0417:04, 20 November 2018 diff hist 0 N File:Ilmetajp2916.png No edit summary current
- 17:0317:03, 20 November 2018 diff hist +259 Rep:Cmpjp2916 /* 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 ou...
- 16:2816:28, 20 November 2018 diff hist −16 Rep:Cmpjp2916 /* 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...
- 16:2716:27, 20 November 2018 diff hist +17 Rep:Cmpjp2916 /* 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...
- 16:2716:27, 20 November 2018 diff hist −101 Rep:Cmpjp2916 /* 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...
- 16:2616:26, 20 November 2018 diff hist +4 Rep:Cmpjp2916 /* 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...
- 13:2113:21, 20 November 2018 diff hist +26 Rep:Cmpjp2916 /* 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...
- 13:1913:19, 20 November 2018 diff hist +24 Rep:Cmpjp2916 /* 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 an e...
- 13:1913:19, 20 November 2018 diff hist +17 Rep:Cmpjp2916 /* 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 an e...
- 13:1613:16, 20 November 2018 diff hist −30 Rep:Cmpjp2916 /* 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 an e...
- 13:1513:15, 20 November 2018 diff hist +163 Rep:Cmpjp2916 /* 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 an e...
- 13:1413:14, 20 November 2018 diff hist +44 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...
- 13:1313:13, 20 November 2018 diff hist +13 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...
- 13:1313:13, 20 November 2018 diff hist +57 Rep:Cmpjp2916 /* 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 an e...
- 13:1013:10, 20 November 2018 diff hist 0 N File:Tcinnfjp2916.png No edit summary current
- 13:0913:09, 20 November 2018 diff hist +1 Rep:Cmpjp2916 /* TASK: Make a plot that uses the scaling relation given above to determine T_{C,\infty}. By doing a little research online, you should be able to find the theoretical exact Curie temperature for the infinite 2D Ising lattice. How does your value comp...