scholarly journals The Effect of Thermal Fluctuation on Spectral Function for the Tomonaga-Luttinger Model

1997 ◽  
Vol 98 (1) ◽  
pp. 29-38 ◽  
Author(s):  
N. Nakamura ◽  
Y. Suzumura
Keyword(s):  
Spectral Function ◽  
Thermal Fluctuation ◽  
Luttinger Model

scholarly journals Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 477
Author(s):  
Katarzyna Górska ◽  
Andrzej Horzela
Keyword(s):  
Stochastic Processes ◽  
Spectral Function ◽  
Evolution Equations ◽  
Memory Function ◽  
Relaxation Phenomena ◽  
Stieltjes Function ◽  
Infinitely Divisible ◽  
Spectral Functions ◽  
Debye Relaxation ◽  
Relaxation Functions

In this paper, we show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to the Stieltjes functions supported on the positive semi-axis. Using only this property, it can be shown that the response and relaxation functions are non-negative. They are connected to each other and obey the time evolution provided by integral equations involving the memory function M(t), which is the Stieltjes function as well. This fact is also due to the Stieltjes character of the spectral function. Stochastic processes-based approach to the relaxation phenomena gives the possibility to identify the memory function M(t) with the Laplace (Lévy) exponent of some infinitely divisible stochastic processes and to introduce its partner memory k(t). Both memories are related by the Sonine equation and lead to equivalent evolution equations which may be freely interchanged in dependence of our knowledge on memories governing the process.

scholarly journals Exact Spectral Function of a Tonks-Girardeau Gas in a Lattice

2021 ◽  
Vol 126 (6) ◽  
Author(s):  
J. Settino ◽  
N. Lo Gullo ◽  
F. Plastina ◽  
A. Minguzzi
Keyword(s):  
Spectral Function

scholarly journals Thermal and breathability management of microencapsulated phase change material (MPCM) incorporated jute fabric

2021 ◽  
Vol 16 ◽  
pp. 155892502110295
Author(s):  
Abdus Shahid ◽  
Solaiman Miah ◽  
Abdur Rahim
Keyword(s):  
Phase Change ◽  
Phase Change Material ◽  
Thermal Fluctuation ◽  
Water Repellency ◽  
Air Permeability ◽  
Jute Fabric ◽  
Moisture Management ◽  
Microencapsulated Phase Change Material ◽  
Fabric Surface ◽  
Change Material

Jute bags are widely used to carry food grains and other materials that may be prone to quality deterioration due to thermal fluctuation. Thermal and moisture properties play a significant role in the packaging materials in the form of a container. This study deals with the effect of microencapsulated phase change material (MPCM) with hydrophobic binder on thermal and moisture management properties of jute fabric. Jute fabric was treated with MPCM by pad-dry-cure method. The treated sample was characterized by thermogravimetric analysis (TGA), differential scanning colorimeter (DSC), scanning electron microscope (SEM), moisture management tester (MMT), and air permeability tester. The results revealed that MPCM treated jute fabric shows greater thermal stability and heat absorption ability of 10.58 J/g while changing from solid to liquid phase. The SEM image ensures even distribution of MPCMs on fabric surface and surface roughness was also observed using image processing software. The air permeability was found to decrease whereas the water repellency enhanced in the developed sample.

scholarly journals Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions

1997 ◽  
Vol 20 (2) ◽  
pp. 397-402 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Riemannian Manifold ◽  
Boundary Conditions ◽  
Finite Number ◽  
Spectral Function ◽  
Compact Riemannian Manifold ◽  
Smooth Boundary ◽  
Beltrami Operator ◽  
Smooth Functions ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions

The spectral functionΘ(t)=∑i=1∞exp(−tλj), where{λj}j=1∞are the eigenvalues of the negative Laplace-Beltrami operator−Δ, is studied for a compact Riemannian manifoldΩof dimension “k” with a smooth boundary∂Ω, where a finite number of piecewise impedance boundary conditions(∂∂ni+γi)u=0on the parts∂Ωi(i=1,…,m)of the boundary∂Ωcan be considered, such that∂Ω=∪i=1m∂Ωi, andγi(i=1,…,m)are assumed to be smooth functions which are not strictly positive.

scholarly journals Thermal fluctuation noise in Mo/Au superconducting transition-edge sensor microcalorimeters

2019 ◽  
Vol 125 (16) ◽  
pp. 164503 ◽  
Author(s):  
N. A. Wakeham ◽  
J. S. Adams ◽  
S. R. Bandler ◽  
S. Beaumont ◽  
J. A. Chervenak ◽  
...  
Keyword(s):  
Transition Edge Sensor ◽  
Thermal Fluctuation ◽  
Superconducting Transition ◽  
Transition Edge ◽  
Fluctuation Noise
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