Casimir entropy and internal energy of the objects in fluctuating scalar and electromagnetic fields

TL;DR

This paper derives general relations for Casimir entropy and internal energy for objects in scalar and electromagnetic fields across various dimensions, revealing unique temperature-dependent behaviors for nanospheres.

Contribution

It introduces a path integral approach to compute Casimir entropy and energy for arbitrarily shaped objects in multiple dimensions and field types, including specific nanostructure cases.

Findings

Casimir entropy of nanospheres in electromagnetic fields shows distinct temperature dependence.

Derived general formulas applicable to objects of arbitrary shape in scalar and electromagnetic fields.

Observed different behaviors of Casimir entropy in small temperature variations for specific nanostructures.

Abstract

Casimir entropy is an important aspect of casimir effect.In this paper,we employ the path integral method to derive the total relation for casimir entropy and internal energy of arbitrary shaped objects in the presence of two,three and four dimensions scalar fields and electromagnetic field.We obtain the casimir entropy and internal energy of two nanoribbon immersed in scalar field and two nanospheres immersed in scalar field and electromagnetic field.The casmir entropy of two nanospheres immersed in the electromagnetic field in small interval of temperature variations,shown a different behavior.