Derivative spectroscopy and the continuous relaxation spectrum

Derivative Based Algorithms for Continuous Relaxation Spectrum Recovery

Historically, it has always been understood that the relaxation spectra of linear viscoelastic materials are continuous. Nevertheless, because of their ease of implementation computationally, delta function recovery methods have been and continue to be important, even though they do not generate continuous approximations. Derivative based recovery techniques were popular in the precomputer days...

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Spectroscopy and the Electromagnetic Spectrum

Dielectric Relaxation Spectroscopy

C.M. Roland (December 17, 2014) Introduction Impedance spectroscopy and dielectric relaxation measurements yield the same information; however, their purpose and analysis methods differ. Impedance spectroscopy is typically used to probe electrochemical processes, while dielectric relaxation data, almost invariably expressed in the complex permittivity representation, provide information on dyna...

Probing the continuous radio frequency spectrum of water relaxation using a carbon nanotube.

We have obtained the continuous radio frequency spectrum of water molecule relaxation using carbon nanotubes (CNT) as a high-speed nanoprobe. Three sets of characteristic time scales are clearly identified. Two sets are attributed to the electric-field-driven polarization of water molecules bound to CNTs and the collective relaxation of water layers in the vicinity of CNTs, respectively. The th...