Lecture

Replica for the p-spin model

In course
DEMO: ipsum reprehenderit do
Eu exercitation veniam mollit labore consectetur eu ex labore quis in in consectetur commodo dolore. Sit magna aliqua reprehenderit tempor ex mollit id occaecat. Incididunt velit do ea aliqua ad laboris veniam. Eiusmod ex minim sit veniam in mollit magna irure aliquip enim do voluptate non. Sit minim aliquip velit elit commodo tempor laboris velit ullamco duis eu tempor id consectetur.
Login to see this section
Description

This lecture covers the computation of the replica for the p-spin model, focusing on the coupling between p-spin variables and the extraction of coupling factors. The instructor explains the steps involved in computing the free energy using the Laplace approximation and the replica symmetry ansatz, emphasizing the decoupling and recoupling of replicas to simplify the calculations. The lecture also delves into recognizing overlaps, fixing them with delta constraints, and transforming them to energy potentials. The instructor guides through the complex computations, highlighting the importance of understanding the Gaussian integrals, Fourier transforms, and the Laplace method in tackling the challenges of the p-spin model.

Instructors (2)
ea exercitation pariatur incididunt
Culpa dolore proident laborum nostrud minim duis incididunt do sint dolore officia commodo Lorem. Pariatur consequat fugiat proident fugiat do sint officia anim ut elit. Enim nostrud reprehenderit deserunt tempor ea dolor. Aliqua laboris et et Lorem ipsum nostrud tempor enim eiusmod proident.
nulla ullamco aliqua
Reprehenderit adipisicing pariatur Lorem exercitation. Ullamco fugiat anim amet exercitation officia. Mollit id duis aliqua Lorem irure amet in minim laborum. In ipsum irure quis nisi. Mollit et aliqua aliquip excepteur. Qui minim excepteur officia irure cillum id veniam adipisicing ut. Irure nostrud cillum et esse cupidatat quis dolore ut cillum nostrud officia id.
Login to see this section
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related lectures (36)
Scaling & Renormalization in Statistical Mechanics
Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
Scattering Amplitude and Green's Functions
Covers the derivation of the scattering amplitude using Lippmann-Schwinger equations and the introduction of Green's functions.
Conservation of Energy: Work and Potential Energy
Explores conservative forces, work, and potential energy calculations.
Fourier Transform: Concepts and Applications
Covers the Fourier transform, its properties, applications in signal processing, and differential equations, emphasizing the concept of derivatives becoming multiplications in the frequency domain.
Show more

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.