Simulation of complex systems /

This book deals with the most fundamental and essential techniques to simulate complex systems, from the dynamics of molecules to the spreading of diseases, from optimization using ant colonies to the simulation of the Game of Life.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Argun, Aykut (Autor), Callegari, Agnese (Autor), Volpe, Giovanni (Physicist) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]
Colección:IOP (Series). Release 21.
IOP ebooks. 2021 collection.
Temas:
Computer simulation.
Computational complexity.
Statistical physics.
Mathematics and computation.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Molecular dynamics
  • 1.1. Single particle
  • 1.2. Time reversibility
  • 1.3. Multiple particles
  • 1.4. Randomness
  • 1.5. Further reading
  • 1.6. Problems
  • 1.7. Challenges
  • 2. Ising model
  • 2.1. Monte Carlo method
  • 2.2. Ising model
  • 2.3. Critical temperature
  • 2.4. Critical mixtures
  • 2.5. Further reading
  • 2.6. Problems
  • 2.7. Challenges
  • 3. Forest fires
  • 3.1. Forest growth and fire ignition
  • 3.2. Power-law behavior
  • 3.3. Further reading
  • 3.4. Problems
  • 3.5. Challenges
  • 4. The game of life
  • 4.1. One-dimensional cellular automata
  • 4.2. Conway's game of life
  • 4.3. Majority rule
  • 4.4. Further reading
  • 4.5. Problems
  • 4.6. Challenges
  • 5. Brownian dynamics
  • 5.1. Random walks and universality
  • 5.2. Discrete white noise
  • 5.3. Brownian motion
  • 5.4. Optical tweezers
  • 5.5. Further reading
  • 5.6. Problems
  • 5.7. Challenges
  • 6. Anomalous diffusion
  • 6.1. Anomalous diffusion exponent
  • 6.2. Regularization and normalization
  • 6.3. Models of anomalous diffusion
  • 6.4. Anomalous diffusion in a non-homogeneous force field
  • 6.5. Further reading
  • 6.6. Problems
  • 6.7. Challenges
  • 7. Multiplicative noise
  • 7.1. A minimal discrete-time model
  • 7.2. Position-dependent noise
  • 7.3. Stochastic integrals
  • 7.4. The spurious drift
  • 7.5. Drift and diffusion measurement
  • 7.6. Particles close to an interface
  • 7.7. Further reading
  • 7.8. Problems
  • 7.9. Challenges
  • 8. The Vicsek model
  • 8.1. The standard Vicsek model
  • 8.2. The effect of delay
  • 8.3. Non-metric and non-reciprocal interactions
  • 8.4. Further reading
  • 8.5. Problems
  • 8.6. Challenges
  • 9. Living crystals
  • 9.1. Active Brownian motion
  • 9.2. Mean square displacement
  • 9.3. Living crystals
  • 9.4. Aligning interactions
  • 9.5. Further reading
  • 9.6. Problems
  • 9.7. Challenges
  • 10. Sensory delay
  • 10.1. A light-sensitive robot
  • 10.2. Single robot with a sensory delay
  • 10.3. Multiple robots with sensory delay
  • 10.4. Further reading
  • 10.5. Problems
  • 10.6. Challenges
  • 11. Disease spreading
  • 11.1. The agent-based SIR model
  • 11.2. Disease transmission as a function of the infection rate
  • 11.3. Extended SIR models
  • 11.4. Lockdown strategies
  • 11.5. Further reading
  • 11.6. Problems
  • 11.7. Challenges
  • 12. Network models
  • 12.1. The adjacency matrix
  • 12.2. Path length, diameter, and clustering coefficient
  • 12.3. Erdîos-Rényi random graphs
  • 12.4. Watts-Strogatz small-world graphs
  • 12.5. Albert-Barabási preferential-growth graphs
  • 12.6. Further reading
  • 12.7. Problems
  • 12.8. Challenges
  • 13. Evolutionary games
  • 13.1. The prisoner's dilemma
  • 13.2. Evolutionary games on a lattice
  • 13.3. Multiple strategies
  • 13.4. Further readings
  • 13.5. Problems
  • 13.6. Challenges
  • 14. Ecosystems
  • 14.1. Lotka-Volterra model
  • 14.2. The logistic growth model
  • 14.3. Mutualism
  • 14.4. Competition
  • 14.5. Further reading
  • 14.6. Problems
  • 14.7. Challenges
  • 15. Ant-colony optimization
  • 15.1. The minimum path length problem
  • 15.2. Ants at work
  • 15.3. Interruptions, accidents, and randomness
  • 15.4. Further reading
  • 15.5. Problems
  • 15.6. Challenges
  • 16. The Sugarscape
  • 16.1. Models of segregation
  • 16.2. The Sugarscape
  • 16.3. Further reading
  • 16.4. Problems
  • 16.5. Challenges.

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