User contributions for Hhc16

20 November 2018

• 02:5302:53, 20 November 2018 diff hist 0 N File:Heatcapacity HHSC.gif No edit summary current
• 02:5202:52, 20 November 2018 diff hist +112 Rep:Simulations of a 2D Ising Model (hhc16) →The Heat Capacity
• 02:5002:50, 20 November 2018 diff hist +6 Rep:Simulations of a 2D Ising Model (hhc16) →The Heat Capacity
• 02:4902:49, 20 November 2018 diff hist +852 Rep:Simulations of a 2D Ising Model (hhc16) →The Heat Capacity
• 02:3802:38, 20 November 2018 diff hist +273 Rep:Simulations of a 2D Ising Model (hhc16) →The Effect of System Size
• 02:2902:29, 20 November 2018 diff hist +2 Rep:Simulations of a 2D Ising Model (hhc16) →The Effect of System Size
• 02:2902:29, 20 November 2018 diff hist +778 Rep:Simulations of a 2D Ising Model (hhc16) →The Effect of System Size
• 02:2202:22, 20 November 2018 diff hist +441 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 02:1302:13, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 02:1202:12, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 02:1202:12, 20 November 2018 diff hist +37 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 02:1102:11, 20 November 2018 diff hist +5 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 02:1002:10, 20 November 2018 diff hist 0 N File:HHSC 8 100k0.01res.png No edit summary current
• 02:0802:08, 20 November 2018 diff hist +200 Rep:Simulations of a 2D Ising Model (hhc16) →Running Over a Range of Temperatures
• 02:0502:05, 20 November 2018 diff hist +44 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: 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 a...
• 02:0402:04, 20 November 2018 diff hist +144 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method
• 02:0102:01, 20 November 2018 diff hist +123 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method
• 01:5801:58, 20 November 2018 diff hist +417 Rep:Simulations of a 2D Ising Model (hhc16) →Running Over a Range of Temperatures
• 01:4501:45, 20 November 2018 diff hist −16 Rep:Simulations of a 2D Ising Model (hhc16) →Phase Transition
• 01:4501:45, 20 November 2018 diff hist −16 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?
• 01:4501:45, 20 November 2018 diff hist −16 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method
• 01:4401:44, 20 November 2018 diff hist 0 Rep:Simulations of a 2D Ising Model (hhc16) →Correcting the Averaging Code
• 01:4401:44, 20 November 2018 diff hist 0 N File:Eq detection.png No edit summary current
• 01:4301:43, 20 November 2018 diff hist +251 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: 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 a...
• 01:2701:27, 20 November 2018 diff hist +160 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: 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 a...
• 01:2301:23, 20 November 2018 diff hist −66 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: 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 a...
• 01:2201:22, 20 November 2018 diff hist +4,096 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: 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 a...
• 00:4500:45, 20 November 2018 diff hist −397 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 00:3600:36, 20 November 2018 diff hist +1,497 Rep:Simulations of a 2D Ising Model (hhc16) /* 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...
• 00:1900:19, 20 November 2018 diff hist +25 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...
• 00:1800:18, 20 November 2018 diff hist −4 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: Look at the documentation for the NumPy sum function. You should be able to modify your magnetisation() function so that it uses this to evaluate M. The energy is a little trickier. Familiarise yourself with the NumPy roll and multiply functio...
• 00:1700:17, 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...
• 00:1700:17, 20 November 2018 diff hist −59 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...
• 00:1000:10, 20 November 2018 diff hist −1 Rep:Simulations of a 2D Ising Model (hhc16) /* TASK: Look at the documentation for the NumPy sum function. You should be able to modify your magnetisation() function so that it uses this to evaluate M. The energy is a little trickier. Familiarise yourself with the NumPy roll and multiply functio...
• 00:0900:09, 20 November 2018 diff hist +20 Rep:Simulations of a 2D Ising Model (hhc16) /* 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()...
• 00:0800:08, 20 November 2018 diff hist +320 Rep:Simulations of a 2D Ising Model (hhc16) →Correcting the Averaging Code
• 00:0000:00, 20 November 2018 diff hist −3 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method
• 00:0000:00, 20 November 2018 diff hist +24 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method

19 November 2018

• 23:5723:57, 19 November 2018 diff hist +1 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method
• 23:4523:45, 19 November 2018 diff hist +175 Rep:Simulations of a 2D Ising Model (hhc16) →Average Energy and Magnetisation
• 23:3823:38, 19 November 2018 diff hist +179 Rep:Simulations of a 2D Ising Model (hhc16) →Average Energy and Magnetisation
• 23:1623:16, 19 November 2018 diff hist 0 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...
• 23:1523:15, 19 November 2018 diff hist +26 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...
• 23:1223:12, 19 November 2018 diff hist −2 Rep:Simulations of a 2D Ising Model (hhc16) →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.
• 23:1123:11, 19 November 2018 diff hist +145 Rep:Simulations of a 2D Ising Model (hhc16) →The Model
• 23:1023:10, 19 November 2018 diff hist +361 Rep:Simulations of a 2D Ising Model (hhc16) →The Model
• 23:0123:01, 19 November 2018 diff hist +1 Rep:Simulations of a 2D Ising Model (hhc16) →The Model
• 22:5822:58, 19 November 2018 diff hist +37 Rep:Simulations of a 2D Ising Model (hhc16) →Introduction
• 22:5322:53, 19 November 2018 diff hist −49 Rep:Simulations of a 2D Ising Model (hhc16) →Introduction
• 19:0919:09, 19 November 2018 diff hist +183 Rep:Simulations of a 2D Ising Model (hhc16) →Incorporating Monte Carlo Method