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Titlebook: Computer Simulation Methods in Theoretical Physics; Dieter W. Heermann Textbook 1990Latest edition Springer-Verlag Berlin Heidelberg 1990

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https://doi.org/10.1007/978-1-4612-4280-2thermodynamic limit) which connects each side of the lattice with the opposite side. In other words, for an infinite lattice the fraction of sites belonging to the largest cluster is zero below p. and unity at and above p..
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Deterministic Methods,iption, the formulation has to be modified. In any case, the formulation leads to differential equations of motion. These equations will be discretized to generate a path in phase space, along which the properties are computed.
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Stochastic Methods, the deterministic ones. Brownian dynamics provides an example where the two methods are combined to form a hybrid technique. However, there are also inherently stochastic methods, such as the Monte-Carlo technique. An application of this simulation method was presented in the introductory chapter.
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https://doi.org/10.1007/978-1-4612-4280-2o-dimensional square lattice. Each lattice site can be either occupied or unoccupied. A site is occupied with a probability p ∈ [0, 1] and unoccupied with a probability 1-p. For p less than a certain probability p., there exist only finite clusters on the lattice. A . is a collection of occupied sit
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Varieties of Mathematical Experiencestic elements representing, for example, an interaction of the system with a heat bath. The starting point is a Newtonian, Lagrangian or Hamiltonian formulation within the framework of classical mechanics. What we are interested in is to compute quantities for such systems, for example, thermodynami
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