User contributions for Sw4512

15:3515:35, 1 February 2015 diff hist 0 N File:32x32heatcap sw4512.png No edit summary current

15:3415:34, 30 January 2015 diff hist +1 User:Sw4512cmp No edit summary

15:3115:31, 29 January 2015 diff hist +2 User:Sw4512cmp /* II).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 syste
15:3015:30, 29 January 2015 diff hist +485 User:Sw4512cmp No edit summary
15:0315:03, 29 January 2015 diff hist +210 User:Sw4512cmp No edit summary
15:0015:00, 29 January 2015 diff hist −15 User:Sw4512cmp /* How many configurations are available to a system with 100 spins? To evaluate these expressions, we have to calculate the energy and magnetisation and each of these configurations, then perform the sum. Let's be very, very, generous, and say that we...
14:5914:59, 29 January 2015 diff hist +6 User:Sw4512cmp /* How many configurations are available to a system with 100 spins? To evaluate these expressions, we have to calculate the energy and magnetisation and each of these configurations, then perform the sum. Let's be very, very, generous, and say that we ca
14:5914:59, 29 January 2015 diff hist +204 User:Sw4512cmp No edit summary
14:3414:34, 29 January 2015 diff hist +8 User:Sw4512cmp /* 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 showing th...
14:3314:33, 29 January 2015 diff hist +39 User:Sw4512cmp /* 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 {Var}...
14:3014:30, 29 January 2015 diff hist 0 N File:Heatcap sw4512.png No edit summary current
13:5113:51, 29 January 2015 diff hist +4 User:Sw4512cmp /* 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 showing th...
13:5013:50, 29 January 2015 diff hist +634 User:Sw4512cmp /* 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 {Var}...
12:4212:42, 29 January 2015 diff hist −182 User:Sw4512cmp /* 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 showing th...
12:4112:41, 29 January 2015 diff hist +1,064 User:Sw4512cmp /* 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 showing th...
12:3912:39, 29 January 2015 diff hist −33 User:Sw4512cmp /* 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 animati...
12:3912:39, 29 January 2015 diff hist +29 User:Sw4512cmp /* 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 showing th...
12:3612:36, 29 January 2015 diff hist 0 N File:Tempsize sw4512.png No edit summary current
10:2010:20, 29 January 2015 diff hist +113 User:Sw4512cmp /* Use ILtemperaturerange.py to plot the average energy and magnetisation for each temperature, with error bars, for an 8\times 8 lattice. Use your initution and results from the script ILfinalframe.py to estimate how many cycles each simulation should...
10:1510:15, 29 January 2015 diff hist 0 N File:Temprange8x8 sw4512.png No edit summary current

21:0321:03, 27 January 2015 diff hist +357 User:Sw4512cmp /* 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 animati...
20:5620:56, 27 January 2015 diff hist +5 User:Sw4512cmp /* 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 animati...
20:5220:52, 27 January 2015 diff hist +588 User:Sw4512cmp /* 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 animati...
20:4420:44, 27 January 2015 diff hist 0 N File:8x8 equilibrium start sw4512.png No edit summary current
20:3320:33, 27 January 2015 diff hist +19 User:Sw4512cmp →complete the functions energy() and magnetisation(), which should return the energy of the lattice and the total magnetisation, respectively. export the figure as a PNG image
20:3220:32, 27 January 2015 diff hist +1 User:Sw4512cmp →complete the functions energy() and magnetisation(), which should return the energy of the lattice and the total magnetisation, respectively. export the figure as a PNG image
20:3120:31, 27 January 2015 diff hist +108 User:Sw4512cmp →complete the functions energy() and magnetisation(), which should return the energy of the lattice and the total magnetisation, respectively. export the figure as a PNG image
20:2920:29, 27 January 2015 diff hist 0 N File:ILcheck sw4512.png No edit summary current
20:2820:28, 27 January 2015 diff hist 0 User:Sw4512cmp /* 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 output t...
20:2620:26, 27 January 2015 diff hist +156 User:Sw4512cmp /* 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 output t...
20:2420:24, 27 January 2015 diff hist 0 N File:ILanim sw4512.PNG No edit summary current
20:2220:22, 27 January 2015 diff hist +97 User:Sw4512cmp No edit summary
20:2020:20, 27 January 2015 diff hist 0 N File:Positive2 sw4512.png No edit summary current
20:2020:20, 27 January 2015 diff hist 0 N File:Negative1 sw4512.png No edit summary current
20:1620:16, 27 January 2015 diff hist +245 User:Sw4512cmp →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?
15:2015:20, 27 January 2015 diff hist −101 User:Sw4512cmp No edit summary
15:2015:20, 27 January 2015 diff hist +102 User:Sw4512cmp →I).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 multiplicity of this state? Calculate its entropy.
15:1915:19, 27 January 2015 diff hist −2,971 User:Sw4512cmp No edit summary
15:1515:15, 27 January 2015 diff hist +288 User:Sw4512cmp →II).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?
14:5614:56, 27 January 2015 diff hist +513 User:Sw4512cmp →I).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 multiplicity of this state? Calculate its entropy.
14:1414:14, 27 January 2015 diff hist +929 User:Sw4512cmp →I).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 multiplicity of this state? Calculate its entropy.
13:3413:34, 27 January 2015 diff hist +102 User:Sw4512cmp No edit summary
13:3213:32, 27 January 2015 diff hist +191 User:Sw4512cmp →I).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 multiplicity of this state? Calculate its entropy.
13:2213:22, 27 January 2015 diff hist +14 User:Sw4512cmp →I).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 multiplicity of this state? Calculate its entropy.
13:2113:21, 27 January 2015 diff hist −3 User:Sw4512cmp No edit summary
13:1913:19, 27 January 2015 diff hist +124 User:Sw4512cmp →I).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 multiplicity of this state? Calculate its entropy.
12:3712:37, 27 January 2015 diff hist +2,946 User:Sw4512cmp →complete the functions energy() and magnetisation(), which should return the energy of the lattice and the total magnetisation, respectively. export the figure as a PNG image
10:0510:05, 27 January 2015 diff hist +33 User:Sw4512cmp →complete the functions energy() and magnetisation(), which should return the energy of the lattice and the total magnetisation, respectively. export the figure as a PNG image
09:5709:57, 27 January 2015 diff hist −89 User:Sw4512cmp No edit summary
09:5509:55, 27 January 2015 diff hist +6,696 User:Sw4512cmp No edit summary

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27 January 2015