A General Approach to the Investigation of Soft Materials by Statistical thermodynamics Formalism

TL;DR

This paper develops a thermodynamic formalism to analyze soft materials like proteins, relating internal energy, electric fields, and particle number to thermodynamic quantities, and fits theoretical models to experimental data.

Contribution

It introduces a comprehensive thermodynamic approach to study proteins under various baths and derives relations between thermodynamic quantities, enhancing understanding of protein structure.

Findings

Derived relations between heat capacities and thermodynamic quantities.

Calculated macro canonical distribution functions for proteins.

Fitted theoretical models to experimental protein data.

Abstract

In this study, internal energy (U), electric field (E) and particle number (N) which specify the system quantities i.e. thermodynamical quantities for the proteins. In the frame of thermodynamical formalism, the relation between the heat capacity at effective field and the heat capacity at total dipole moment and the relations for the increment of enthalpy, entropy and Gibbs energy which come out in the dissolving of the proteins in water have been obtained. By thinking about the present system being in the heat bath the canonical distribution function, by considering the system in heat and electric field bath the macro canonical distribution function and once more by taking the system in heat and particle number bath the macro canonical distribution function have been calculated. Partition functions have been related to the macro canonical quantities with the help of the free energy. Understanding the structure of the proteins have been endeavoured by fitting the theoretical calculations to the curves of experimental results.