Lecture

Self-Avoiding Walks

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PHYS-435: Statistical physics III

This course introduces statistical field theory, and uses concepts related to phase transitions to discuss a variety of complex systems (random walks and polymers, disordered systems, combinatorial optimisation, information theory and error correcting cod ...

Description

This lecture covers the concept of self-avoiding walks in space, focusing on the expansion in small powers of beta and the correlation function. The instructor explains the path that must be followed, emphasizing the importance of self-avoiding paths. The lecture delves into the total number of self-avoiding walks and the integration process in space. Various mathematical expressions and formulas are presented to illustrate the theory behind self-avoiding walks.

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In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula. The informal use of the term formula in science refers to the general construct of a relationship between given quantities. The plural of formula can be either formulas (from the most common English plural noun form) or, under the influence of scientific Latin, formulae (from the original Latin). In mathematics, a formula generally refers to an equation relating one mathematical expression to another, with the most important ones being mathematical theorems.

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