User contributions for Jp2916

13:0913:09, 20 November 2018 diff hist 0 File:Tcinfjp2916.png Jp2916 uploaded a new version of File:Tcinfjp2916.png current
12:4012:40, 20 November 2018 diff hist 0 File:Curiejp2916.png Jp2916 uploaded a new version of File:Curiejp2916.png current
12:2212:22, 20 November 2018 diff hist +139 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?
12:2112:21, 20 November 2018 diff hist +182 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?
12:2012:20, 20 November 2018 diff hist +69 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?
12:0312:03, 20 November 2018 diff hist 0 N File:Eot815jp2916.png No edit summary current
12:0312:03, 20 November 2018 diff hist 0 N File:Eot83jp2916.png No edit summary current
12:0312:03, 20 November 2018 diff hist +268 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...
12:0012:00, 20 November 2018 diff hist +2 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...
11:5911:59, 20 November 2018 diff hist +196 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...
11:5111:51, 20 November 2018 diff hist −19 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...
11:5111:51, 20 November 2018 diff hist +1 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...
11:5111:51, 20 November 2018 diff hist +18 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...
11:4511:45, 20 November 2018 diff hist +2 Rep:Cmpjp2916 /* 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...
11:4511:45, 20 November 2018 diff hist −39 Rep:Cmpjp2916 /* 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...
11:4411:44, 20 November 2018 diff hist +12 Rep:Cmpjp2916 /* 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...
11:4311:43, 20 November 2018 diff hist +4 Rep:Cmpjp2916 /* 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...
11:4311:43, 20 November 2018 diff hist +23 Rep:Cmpjp2916 /* 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...
11:4211:42, 20 November 2018 diff hist +2 Rep:Cmpjp2916 →TASK: Run the ILcheck.py script from the IPython Qt console using the command
11:4111:41, 20 November 2018 diff hist +2 Rep:Cmpjp2916 →TASK: Run the ILcheck.py script from the IPython Qt console using the command
11:4111:41, 20 November 2018 diff hist +47 Rep:Cmpjp2916 →TASK: Run the ILcheck.py script from the IPython Qt console using the command
11:3911:39, 20 November 2018 diff hist −45 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...
11:3811:38, 20 November 2018 diff hist +10 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...
11:3711:37, 20 November 2018 diff hist +282 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...
11:2711:27, 20 November 2018 diff hist +22 Rep:Cmpjp2916 →The Model
11:2711:27, 20 November 2018 diff hist −23 Rep:Cmpjp2916 →Phase Transitions
11:2511:25, 20 November 2018 diff hist +26 Rep:Cmpjp2916 →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 multiplicity of this state? Calculate its entropy.
11:2411:24, 20 November 2018 diff hist +13 Rep:Cmpjp2916 →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 multiplicity of this state? Calculate its entropy.

22:0122:01, 19 November 2018 diff hist 0 N File:Tcinfjp2916.png No edit summary
22:0122:01, 19 November 2018 diff hist 0 Rep:Cmpjp2916 →Locating the Curie Temperature
22:0022:00, 19 November 2018 diff hist +368 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.
21:4321:43, 19 November 2018 diff hist +146 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...
21:3921:39, 19 November 2018 diff hist +289 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...
21:3621:36, 19 November 2018 diff hist +129 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.
21:3421:34, 19 November 2018 diff hist +130 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?
21:3121:31, 19 November 2018 diff hist +288 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...
21:1121:11, 19 November 2018 diff hist +261 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 calculatin
20:5820:58, 19 November 2018 diff hist +348 Rep:Cmpjp2916 →TASK: Implement a single cycle of the above algorithm in the montecarlocycle(T) function. Complete the statistics() function.
20:5320:53, 19 November 2018 diff hist +3 Rep:Cmpjp2916 /* 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...
20:4120:41, 19 November 2018 diff hist +3 Rep:Cmpjp2916 /* 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...
20:3720:37, 19 November 2018 diff hist +2 Rep:Cmpjp2916 →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 multiplicity of this state? Calculate its entropy.
20:3720:37, 19 November 2018 diff hist −2 Rep:Cmpjp2916 →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 multiplicity of this state? Calculate its entropy.
11:5211:52, 19 November 2018 diff hist +42 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...
11:5111:51, 19 November 2018 diff hist −334 Rep:Cmpjp2916 /* 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()...
11:5011:50, 19 November 2018 diff hist −50 Rep:Cmpjp2916 →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 multiplicity of this state? Calculate its entropy.
11:4811:48, 19 November 2018 diff hist +19 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...
11:4811:48, 19 November 2018 diff hist +19 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.
11:4711:47, 19 November 2018 diff hist 0 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.
11:4711:47, 19 November 2018 diff hist +19 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.
11:4611:46, 19 November 2018 diff hist +370 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?

20 November 2018

19 November 2018