Thermodynamic Limit of Crystal Defects with Finite Temperature Tight Binding

Finite times to equipartition in the thermodynamic limit.

We study the time scale T to equipartition in a 1D lattice of N masses coupled by quartic nonlinear (hard) springs (the Fermi-Pasta-Ulam beta model). We take the initial energy to be either in a single mode gamma or in a package of low-frequency modes centered at gamma and of width deltagamma, with both gamma and deltagamma proportional to N. These initial conditions both give, for finite energ...

Thermodynamic fluctuations and the fluctuation-imposed limit for temperature measurement

In experimental sciences, random processes often place a fundamental limit on the achievable resolution. A well known example is the Johnson noise voltage across a resistor. In this paper, we describe the observation of temperature fluctuations in a thermometer caused by the random transfer of heat in and out of it. This process places a fundamental limit on the resolution of a thermometer. We ...

Calculation of Thermodynamic Properties of the Quasi-one Dimensional Liquid 3He at Finite Temperature

We have used a variational approach to calculate some thermodynamic properties of the quasi-one dimensional liquid 3He such as the energy, entropy, free energy, equation of state and heat capacity at finite temperature. We have employed the Lennard-Jones potential as the inter-atomic interaction. We have seen that the total energy increases by increasing both temperature and density....

Temperature Tunability of Dielectric/ Liquid Crystal / Dielectric Photonic Crystal Structures

Recently, photonic crystals doped with liquid crystal (LC) material havegained much research interest. In this article new ternary one-dimensional photoniccrystal introduced and studied. The liquid crystal layer of 5CB and 5PCH is sandwichedby two dielectric layers. For the first time, we use four structures SiO2/UCF35/CaF2,SiO2/5CB/CaF2, NFK51/UCF35/NPSK53 and NFK51/5CB/NPSK53. The effect ofte...

The Amorphous-Crystal Interface in Silicon: a Tight-Binding Simulation