Population Annealing - - PowerPoint PPT Presentation

population annealing
SMART_READER_LITE
LIVE PREVIEW

Population Annealing - - PowerPoint PPT Presentation

Population Annealing .. . .. , , 22


slide-1
SLIDE 1

Таруса, ИКИ РАН, 22 апреля 2015 года

Алгоритм «Population Annealing» и его применение к двумерным моделям Изинга и Поттса

Л.Ю. Бараш НЦЧ РАН ИТФ им. Л.Д. Ландау

slide-2
SLIDE 2
slide-3
SLIDE 3
slide-4
SLIDE 4

(CUDA algorithm was tested by M. Borovsky and by L.Barash)

slide-5
SLIDE 5
slide-6
SLIDE 6
slide-7
SLIDE 7
slide-8
SLIDE 8
slide-9
SLIDE 9
slide-10
SLIDE 10

Figure 5a: Internal energy error divided by absolute value of internal energy as a function of the temperature for a different number of equilibration sweeps .

slide-11
SLIDE 11
slide-12
SLIDE 12

Figure 6a: Heat capacity errors divided by heat capacity as a function of the temperature for a different number of equilibration sweeps .

slide-13
SLIDE 13
slide-14
SLIDE 14
slide-15
SLIDE 15
slide-16
SLIDE 16
slide-17
SLIDE 17
slide-18
SLIDE 18
slide-19
SLIDE 19
slide-20
SLIDE 20
slide-21
SLIDE 21

Figure 13a: Internal energy error divided by internal energy as a function of the temperature for a different number of replicas R.

slide-22
SLIDE 22
slide-23
SLIDE 23

Figure 14a: Heat capacity errors divided by heat capacity as a function of the temperature for a different number of replicas R.

slide-24
SLIDE 24
slide-25
SLIDE 25
slide-26
SLIDE 26
slide-27
SLIDE 27
slide-28
SLIDE 28
slide-29
SLIDE 29
slide-30
SLIDE 30
slide-31
SLIDE 31
slide-32
SLIDE 32

Figure 21a: Internal energy error divided by internal energy as a function of the temperature for a different number of independent runs M.

slide-33
SLIDE 33
slide-34
SLIDE 34

Figure 22a: Heat capacity errors divided by heat capacity as a function of the temperature for a different number of independent runs M.

slide-35
SLIDE 35
slide-36
SLIDE 36
slide-37
SLIDE 37

Figure 25: Internal energy as a function of the temperature for 8-state Potts model calculated with Population Annealing for L=32, θ=100, M=200, Δβ=0.001.

slide-38
SLIDE 38

Figure 26: Heat capacity as a function of the temperature for 8-state Potts model calculated with Population Annealing for L=32, θ=100, M=200, Δβ=0.001.