Generalized cluster expansion for real fluids

Geometric Cluster Algorithm for Interacting Fluids

We discuss a new Monte Carlo algorithm for the simulation of complex fluids. This algorithm employs geometric operations to identify clusters of particles that can be moved in a rejection-free way. It is demonstrated that this geometric cluster algorithm (GCA) constitutes the continuum generalization of the Swendsen– Wang and Wolff cluster algorithms for spin systems. Because of its nonlocal na...

Fluids Final Project: Generalized Tensors

Continuum coupled-cluster expansion

One of the major endeavors in modern nuclear physics, is the ongoing quest for an effective nuclear many-body theory, a key element in the attempt to extrapolate existing experimental data to regimes which are not currently accessible in the laboratory. Ideally, one would like to begin with the experimental data available from nucleon-nucleon sNNd scattering experiments [1,2] and determine the ...

Real-Time Large Scale Fluids for Games

This report presents an implementation of a stable height-field fluid solver on non-uniform quadtree grids. It build upon the well known techniques of height field representation of the fluid volume, semi-Lagrangian advection, upwind differencing in the discretized representation and adaptive quadtree grids for faster calculations. A novel contribution is the applications of certain concepts an...

A Cluster Expansion for Dipole Gases

We give a new proof of the well-known upper bound on the correlation function of a gas of non-overlapping dipoles of fixed length and discrete orientation working directly in the charge representation, instead of the more usual sine-Gordon representation.