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Optimization of intermolecular interaction potential energy parameters for Monte-Carlo and Molecular dynamics simulations using Genetic Algorithms (GA) Dragan Sahpaski [email_address] Institute of Informatics, Faculty of Natural Sciences University “Ss. Cyril and Methodius” Skopje, Macedonia Ljupco Pejov [email_address] Institute of Chemistry, Faculty of Natural Sciences University “Ss. Cyril and Methodius” Skopje, Macedonia Anasas Misev [email_address] Institute of Informatics, Faculty of Natural Sciences University “Ss. Cyril and Methodius” Skopje, Macedonia *This work is supported by the FP7 project HP-SEE
Introduction   ,[object Object],[object Object],[object Object]
Introduction ,[object Object],[object Object]
Introduction ,[object Object],[object Object],[object Object]
Computational Details and Algorithms   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Monte Carlo  simulations ,[object Object],[object Object],[object Object]
Monte Carlo  simulations ,[object Object],[object Object],[object Object],[object Object]
Monte Carlo  simulations ,[object Object],[object Object],[object Object],[object Object]
Monte Carlo  simulations ,[object Object],[object Object]
Monte Carlo  simulations ,[object Object]
Monte Carlo  simulations ,[object Object],Atom q / e ε /(kcal mol -1 ) σ /Å C Cl Cl Cl Cl 0.248 -0.062 -0.062 -0.062 -0.062 0.050 0.266 0.266 0.266 0.266 3.800 3.470 3.470 3.470 3.470
Results with the standard LJ parameters   ,[object Object],[object Object],[object Object],[object Object],[object Object]
Results with the standard LJ parameters
The Optimization Problem   ,[object Object],[object Object]
The Optimization Problem   C Cl C Cl q ε σ
Outline of a Genetic Algorithm (GA) Create a random starting population of chromosomes Calculate the fitness of each chromosome Select the next generation Crossover Mutation ? >= N generations? YES END NO
Representation of the Solution ,[object Object],q Cl ε Cl σ Cl ε C σ C 1 0 0 . . . 0 1 1 GENE CHROMOSOME
Mutation 1 0 . . 0 1 0 . . GENE 1 1 1 0 . . 0 0 0 . . 1 1 MUTATED GENE FLIP a BIT in a Random position with a certain probability
Crossover Pick a random position and swap all subsequent genes in the two parents q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C
Selection Select the best individuals with higher probability: *Always select the fittest q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C
The Optimization Procedure on GRID ,[object Object]
The Optimization Procedure on GRID
The standard LJ parameters .   ,[object Object],Atom q / e ε /(kcal mol -1 ) σ /Å C Cl Cl Cl Cl 0.248 -0.062 -0.062 -0.062 -0.062 0.050 0.266 0.266 0.266 0.266 3.800 3.470 3.470 3.470 3.470
Results with the standard LJ parameters   ,[object Object],Parameter MC Experimental Rel. error % ρ  / (g cm -3 ) 1.5697 1.5867 10.7 C P ,m  / (J K -1  mol -1 ) 80.65 129.35 37.6 β T  / Pa -1 1.126·10 -9 1.034·10 -9 8.9 α P  / K -1 4.6199·10 -3 1.236·10 -3 273.8
The optimized LJ parameters .   ,[object Object],Atom q / e ε /(kcal mol -1 ) σ /Å C Cl Cl Cl Cl 0.412 -0.103 -0.103 -0.103 -0.103 0.025 0.374 0.374 0.374 0.374 3.328 0.149 0.149 0.149 0.149
Results with the optimized LJ parameters   ,[object Object],Parameter MC - GA Experimental Rel. error % ρ  / (g cm -3 ) 1.5884 1.5867 0.10 C P ,m  / (J K -1  mol -1 ) 122.13 129.35 5.6 β T  / Pa -1 3.459·10 -12 1.034·10 -9 99.6 α P  / K -1 3.3522·10 -3 1.236·10 -3 171.2
Conclusions and Directions for Future work   ,[object Object],[object Object],[object Object]

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LSSC2011 Optimization of intermolecular interaction potential energy parameters for Monte-Carlo and Molecular dynamics simulations using Genetic Algorithms (GA)

  • 1. Optimization of intermolecular interaction potential energy parameters for Monte-Carlo and Molecular dynamics simulations using Genetic Algorithms (GA) Dragan Sahpaski [email_address] Institute of Informatics, Faculty of Natural Sciences University “Ss. Cyril and Methodius” Skopje, Macedonia Ljupco Pejov [email_address] Institute of Chemistry, Faculty of Natural Sciences University “Ss. Cyril and Methodius” Skopje, Macedonia Anasas Misev [email_address] Institute of Informatics, Faculty of Natural Sciences University “Ss. Cyril and Methodius” Skopje, Macedonia *This work is supported by the FP7 project HP-SEE
  • 2.
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  • 10.
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  • 13. Results with the standard LJ parameters
  • 14.
  • 15. The Optimization Problem C Cl C Cl q ε σ
  • 16. Outline of a Genetic Algorithm (GA) Create a random starting population of chromosomes Calculate the fitness of each chromosome Select the next generation Crossover Mutation ? >= N generations? YES END NO
  • 17.
  • 18. Mutation 1 0 . . 0 1 0 . . GENE 1 1 1 0 . . 0 0 0 . . 1 1 MUTATED GENE FLIP a BIT in a Random position with a certain probability
  • 19. Crossover Pick a random position and swap all subsequent genes in the two parents q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C
  • 20. Selection Select the best individuals with higher probability: *Always select the fittest q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C q Cl ε Cl σ Cl ε C σ C
  • 21.
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  • 27.