*M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko*

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780199238743
- eISBN:
- 9780191716461
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199238743.003.0012
- Subject:
- Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Starting with this chapter, the book goes on to deal with the Casimir effect for real bodies made of various materials rather than idealized boundaries. It presents Lifshitz theory, which provides a ...
More

Starting with this chapter, the book goes on to deal with the Casimir effect for real bodies made of various materials rather than idealized boundaries. It presents Lifshitz theory, which provides a unified description of both the van der Waals and the Casimir interaction between planar dielectrics. The chapter contains various formulations of the Lifshitz theory as applied to planar, stratified dielectric media at both zero and nonzero temperatures. As an illustration, computational results for various dielectric materials are given. The consistency of the theory with the requirements of thermodynamics and its application region are discussed. The Lifshitz formula for anisotropic plates is presented as well as Lifshitz-type formulas for radiative heat transfer. Problems arising for polar dielectrics are considered.Less

Starting with this chapter, the book goes on to deal with the Casimir effect for real bodies made of various materials rather than idealized boundaries. It presents Lifshitz theory, which provides a unified description of both the van der Waals and the Casimir interaction between planar dielectrics. The chapter contains various formulations of the Lifshitz theory as applied to planar, stratified dielectric media at both zero and nonzero temperatures. As an illustration, computational results for various dielectric materials are given. The consistency of the theory with the requirements of thermodynamics and its application region are discussed. The Lifshitz formula for anisotropic plates is presented as well as Lifshitz-type formulas for radiative heat transfer. Problems arising for polar dielectrics are considered.

*Michael Bordag, Galina Leonidovna Klimchitskaya, Umar Mohideen, and Vladimir Mikhaylovich Mostepanenko*

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780199238743
- eISBN:
- 9780191716461
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199238743.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

The subject of this book is the Casimir effect, i.e., a manifestation of zero-point oscillations of the quantum vacuum in the form of forces acting between closely spaced bodies. It is a purely ...
More

The subject of this book is the Casimir effect, i.e., a manifestation of zero-point oscillations of the quantum vacuum in the form of forces acting between closely spaced bodies. It is a purely quantum effect. There is no force acting between neutral bodies in classical electrodynamics. The Casimir effect has become an interdisciplinary subject. It plays an important role in various fields of physics such as condensed matter physics, quantum field theory, atomic and molecular physics, gravitation and cosmology, and mathematical physics. Most recently, the Casimir effect has been applied to nanotechnology and for obtaining constraints on the predictions of unification theories beyond the Standard Model. The book assembles together the field-theoretical foundations of this phenomenon, the application of the general theory to real materials, and a comprehensive description of all recently performed measurements of the Casimir force, including the comparison between experiment and theory. There is increasing interest in forces of vacuum origin. Numerous new results have been obtained during the last few years which are not reflected in the literature, but are very promising for fundamental science and nanotechnology. The book provides a source of information which presents a critical assessment of all of the main results and approaches contained in published journal papers. It also proposes new ideas which are not yet universally accepted but are finding increasing support from experiment.Less

The subject of this book is the Casimir effect, i.e., a manifestation of zero-point oscillations of the quantum vacuum in the form of forces acting between closely spaced bodies. It is a purely quantum effect. There is no force acting between neutral bodies in classical electrodynamics. The Casimir effect has become an interdisciplinary subject. It plays an important role in various fields of physics such as condensed matter physics, quantum field theory, atomic and molecular physics, gravitation and cosmology, and mathematical physics. Most recently, the Casimir effect has been applied to nanotechnology and for obtaining constraints on the predictions of unification theories beyond the Standard Model. The book assembles together the field-theoretical foundations of this phenomenon, the application of the general theory to real materials, and a comprehensive description of all recently performed measurements of the Casimir force, including the comparison between experiment and theory. There is increasing interest in forces of vacuum origin. Numerous new results have been obtained during the last few years which are not reflected in the literature, but are very promising for fundamental science and nanotechnology. The book provides a source of information which presents a critical assessment of all of the main results and approaches contained in published journal papers. It also proposes new ideas which are not yet universally accepted but are finding increasing support from experiment.

*M. Bordag, G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko*

- Published in print:
- 2009
- Published Online:
- September 2009
- ISBN:
- 9780199238743
- eISBN:
- 9780191716461
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199238743.003.0015
- Subject:
- Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

This chapter is devoted to the Casimir interaction between two parallel plates, one metallic and the other dielectric. It is shown that if the static permittivity of a dielectric plate is finite, the ...
More

This chapter is devoted to the Casimir interaction between two parallel plates, one metallic and the other dielectric. It is shown that if the static permittivity of a dielectric plate is finite, the Lifshitz theory is thermodynamically consistent. In contrast, if the dc conductivity of the dielectric material is included in the model of the dielectric response, the Nernst theorem is violated. Experimentally, this opens up opportunities for the investigation of the role of the conductivity properties in the Casimir effect by keeping the metal plate fixed but considering dielectrics (semiconductors) with different conductivities. Such experiments have already been successfully performed and have yielded important new insights. Approximate analytical formulas for the Casimir energy density and pressure at zero temperature in the configuration of one metal and one dielectric plate are also presented.Less

This chapter is devoted to the Casimir interaction between two parallel plates, one metallic and the other dielectric. It is shown that if the static permittivity of a dielectric plate is finite, the Lifshitz theory is thermodynamically consistent. In contrast, if the dc conductivity of the dielectric material is included in the model of the dielectric response, the Nernst theorem is violated. Experimentally, this opens up opportunities for the investigation of the role of the conductivity properties in the Casimir effect by keeping the metal plate fixed but considering dielectrics (semiconductors) with different conductivities. Such experiments have already been successfully performed and have yielded important new insights. Approximate analytical formulas for the Casimir energy density and pressure at zero temperature in the configuration of one metal and one dielectric plate are also presented.