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We will discuss disordered systems with <math> N </math>
We will discuss disordered systems with <math> N </math> degrees of freedom (for instance, for a spin system on a lattice of size <math>L</math> in dimension <math> d</math>, <math> N = L^d </math>). Since the systems are random, the quantities that describe their properties (the free energy, the number of configurations of the system that satisfy a certain property, the magnetization etc) are also random variables, with a distribution.

Revision as of 16:19, 31 July 2025

We will discuss disordered systems with degrees of freedom (for instance, for a spin system on a lattice of size in dimension , ). Since the systems are random, the quantities that describe their properties (the free energy, the number of configurations of the system that satisfy a certain property, the magnetization etc) are also random variables, with a distribution.