Simulation data for toppling and height probabilities in sandpiles

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sandpile_c_library.zip

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data 15485 1 50148 document 15485 README.txt text/plain f57aa578c1e707ea6ed766aa7e7cc122 MD5 10319 2021-11-16 12:17:46 https://researchdata.bath.ac.uk/1088/9/README.txt 1088 9 9 text/plain other en public

README.txt

documentation 15486 1 50151 document 15486 indexcodes.txt text/plain 5da3ec6c78da94ebee8fd71e0eb2e9dd MD5 1340 2021-11-16 12:23:40 https://researchdata.bath.ac.uk/1088/10/indexcodes.txt 1088 10 10 text/plain other Generate index codes conversion from other to indexcodes en public

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http://eprints.org/relation/isVersionOf https://researchdata.bath.ac.uk/id/document/15485 http://eprints.org/relation/isVolatileVersionOf https://researchdata.bath.ac.uk/id/document/15485 http://eprints.org/relation/isIndexCodesVersionOf https://researchdata.bath.ac.uk/id/document/15485 archive 9179 disk0/00/00/10/88 2022-03-10 13:24:29 2024-07-18 10:32:15 2022-03-10 13:24:29 data_collection show Jarai Antal A.Jarai@bath.ac.uk 0000-0003-3522-498X University of Bath FALSE Sun Minwei M.Sun@bath.ac.uk University of Bath TRUE Simulation data for toppling and height probabilities in sandpiles GJ0090 dept_math_sci Abelian sandpile, Wilson's algorithm, Uniform spanning tree, Toppling probability This dataset provides simulation data used in analyzing the results in Chapter 3 simulation results in the thesis Critical Exponents in Sandpiles by Minwei Sun. This dataset contains simulation data in 2d, 3d, 5d, and 32d in folders named sandpile_data_xd. The characteristics simulated include the toppling probability, the number of waves, and the height probability at the origin. 2022-03-10 University of Bath public RightsHolder University of Bath Engineering and Physical Sciences Research Council https://doi.org/10.13039/501100000266 DTP Studentship (Minwei Sun) This dataset contains simulation data in 2d, 3d, 5d, and 32d in folders named sandpile_data_xd. In 2d, we simulate the sandpile model in a box size of 2L x 2L both with periodic boundary conditions for systems with L = 512, 1024, 2048, and 4096 with sample sizes 2 × 10^7, 1.5 × 10^7, 3 × 10^6, and 7.5 × 10^5, and with Dirichlet boundary conditions for systems with L = 512, 1024, 2048, 4096, and 8192 with sample sizes 6 × 10^7, 3 × 10^7, 7.5 × 10^6, 4 × 10^6, and 10^6, respectively. The characteristics simulated include the toppling probability, the number of waves, and the height probability at the origin. In 3d, we generate the data of the toppling probability with Dirichlet boundary conditions for systems with L = 32, 64, 128, and 256 with sample sizes 8 × 10^7, 2 × 10^7, 4.5 × 10^6, and 4 × 10^6. In 5d, we simulate the toppling probability using hashing in the box with radius L = 32. The number of samples taken was 4 × 10^7, with approximately 400 samples discarded due to a full hashtable. In 32d, we simulate the height probability at the origin using hashing for a system with L = 128 with a sample size 4 × 10^6. We check our results in two ways to confirm that our methods give results consistent with earlier work. One uses the data to agree with some exponents in the earlier work in 2d and 3d. In 2d, the data are in out files called xxxsink-cluster-origin-aaa with L = xxx, and the overall averages are in text files named by s-origin-2d-average and s-distinct-origin-2d-average. In 3d, the data are in out files called 3d-xxxsink-cluster-origin with L =xxx, and the overall averages are in text files called s-origin-3d-average and s-distinct-origin-3d-average. On the other hand, we check that our methods yield the known height probabilities in 2d with L = 4096 in Dirichlet boundary conditions. The data used are in the text files called probability4096sink-aaa, and the overall average height probability is in the text file named probability4096sink-average. The number of samples generated in each file is 5 x 10^4. There are 80 files in total, so the total sample size is 4 x 10^6. en 1 10.15125/BATH-01088 https://doi.org/10.1088/1742-5468/ab2ccb pub https://researchportal.bath.ac.uk/en/studentTheses/d13c53ee-86e1-495d-afbc-6cfb8c4d5490 thesis Balena High Performance Computing (HPC) System 3e22ef13-31b9-4700-b57e-57bcd3b3b985 open Dataset