6533b851fe1ef96bd12aa201
RESEARCH PRODUCT
HOW MONTE CARLO SIMULATIONS CAN CLARIFY COMPLEX PROBLEMS IN STATISTICAL PHYSICS
Kurt Bindersubject
PhysicsHybrid Monte CarloQuantum Monte CarloMonte Carlo methodDynamic Monte Carlo methodStatistical and Nonlinear PhysicsMonte Carlo integrationDiffusion Monte CarloMonte Carlo method in statistical physicsStatistical physicsCondensed Matter PhysicsMonte Carlo molecular modelingdescription
Statistical mechanics of condensed matter systems in physics (fluids and solids) derives macroscopic equilibrium properties of these systems as averages computed from a Hamiltonian that describes the atomistic interactions in the system. While analytic methods for most problems involve uncontrolled approximations, Monte Carlo simulations allow numerically exact treatments, apart from statistical errors and from the systematic problem that finite systems are treated rather than the thermodynamic limit. However, this problem can be overcome by finite size scaling methods, and thus Monte Carlo methods have become a very powerful tool to study even complex phase transitions. Examples given will include unmixing of polymer blends, two-dimensional melting, etc.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-05-01 | International Journal of Modern Physics B |