# The Correlative Method of Unsymmetrized Self-Consistent Field (CUSF)

**Authors:** Cl\'oves Gon\c{c}alves Rodrigues, Andr\'e Luiz Cardoso da Silva

arXiv: 1906.05282 · 2019-06-14

## TL;DR

The paper introduces the Correlative Method of Unsymmetrized Self-Consistent Field (CUSF), a theoretical approach for analyzing anharmonic crystalline solids using nonlinear equations for atomic distribution functions and potentials.

## Contribution

It presents the fundamental concepts, equations, and thermodynamic analysis of the CUSF method for anharmonic crystals, including quantum corrections in a quasi-classical framework.

## Key findings

- Development of nonlinear integrodifferential equations for atomic distributions
- Application of CUSF to thermodynamics of anharmonic crystals
- Inclusion of quantum corrections in the quasi-classical approximation

## Abstract

In this work we describe the Correlative Method of Unsymmetrized Self-Consistent Field (CUSF). This method is based on a set of nonlinear integrodifferential equations for the one-particle configurational distribution functions and for the self-consistent potentials of the atoms. Here we present the fundamental concepts of the CUSF, the hypotheses of the method, the basic equations, the self-consistent potential, the thermodynamics of the anharmonic crystalline solids, and the quantum corrections in the quasi-classical approximation.   Keywords: lattice theory and statistics; anharmonic crystals; thermodynamics.

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Source: https://tomesphere.com/paper/1906.05282