We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism first provides a unifying description of classical and quantum kinetic theories. On the other hand, a generalized thermodynamical framework is justified to descr...

The Lifshitz formula for dispersive forces is generalized to the materials, which cannot be described with the local dielectric response. The principal nonlocality of poor conductors is related to the finite screening length of the penetrating field and collisional relaxation; at low temperatures the role of collisions plays the Landau damping. Spatial dispersion makes the theory self-consisten...

We study the quantum radiation of particle production by vacuum from an ultra-relativistic moving mirror (dynamical Casimir effect) solution that allows (possibly for first time) analytically calculable time evolution creation and Airy spectral distribution. The reality beta Bogoliubov coefficients is responsible simplicity, asymptotically inertial at speed light, with finite energy production....

Abstract We present a modified Schwarzschild solution for model of evaporation black hole with information preservation. By drawing direct analogy to the quantum pure accelerating mirror (dynamical Casimir effect 1D horizon), we derive metric not only usual radius but an additional length scale related Planck length. The has thermal particle production that leads complete hole, resulting in non...

This paper reports an analytical method to show the effect of electrostatic and Casimir forces on the pull-in instability and vibration of single nano-plate (SNP) carrying a moving nanoparticle. Governing equations for nonlocal forced vibration of the SNP under a moving nanoparticle considering electrostatic and Casimir forces are derived by using Hamilton’s principle for the case when two ends...

The nonlocal response functions to quantum fluctuations are used find asymptotic expressions for the Casimir free energy and entropy at an arbitrarily low temperature in configuration of two parallel metallic plates. It is shown that by introducing alternative off-the-mass-shell Lifshitz theory brought into agreement with requirements thermodynamics. According our results, calculated using func...

In the present paper we investigate thermal fluctuation corrections to vacuum energy at zero temperature of a conformally coupled massless scalar field whose modes propagate in Einstein universe with spherical boundary, characterized by both Dirichlet and Neumann boundary conditions. Thus, generalize results found literature this scenario, which has considered only temperature. To do this, use ...

We reexamine the Casimir effect for the rectangular cavity with two or three equal edges in the presence of compactified universal extra dimension. We derive the expressions for the Casimir energy and discuss the nature of Casimir force. We show the extra-dimension corrections to the standard Casimir effect. PACS number(s): 11.10.Kk, 04.62.+v ∗E-mail address: [email protected] 1

In the current study, the effects of Casimir force and squeeze film damping on pull-in instability and dynamic behavior of electrostatically actuated nano and micro electromechanical systems are investigated separately. Linear elastic membrane theory is used to model the static and dynamic behavior of the system for strip, annular and disk geometries. Squeeze film damping is modeled using nonli...