scholarly journals Statistical mechanical properties of polymer configurations which enclose a constant area

1988 ◽  
Vol 53 (5-6) ◽  
pp. 1073-1080 ◽  
Author(s):  
D. C. Khandekar ◽  
F. W. Wiegel
Keyword(s):  
Mechanical Properties ◽  
Constant Area ◽  
Statistical Mechanical ◽  
Polymer Configurations

THERMODYNAMICS OF q-MODIFIED BOSONS

1996 ◽  
Vol 10 (06) ◽  
pp. 683-699 ◽  
Author(s):  
P. NARAYANA SWAMY
Keyword(s):  
Mechanical Properties ◽  
Phase Transition ◽  
Equation Of State ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Specific Heat ◽  
Thermodynamic Functions ◽  
Bose Condensation ◽  
Grand Partition Function ◽  
Statistical Mechanical

Based on a recent study of the statistical mechanical properties of the q-modified boson oscillators, we develop the statistical mechanics of the q-modified boson gas, in particular the Grand Partition Function. We derive the various thermodynamic functions for the q-boson gas including the entropy, pressure and specific heat. We demonstrate that the gas exhibits a phase transition analogous to ordinary bose condensation. We derive the equation of state and develop the virial expansion for the equation of state. Several interesting properties of the q-boson gas are derived and compared with those of the ordinary boson which may point to the physical relevance of such systems.

scholarly journals Nucleation of Multiple Buckled Structures in Intertwined DNA Double Helices

2017 ◽  
Author(s):  
Sumitabha Brahmachari ◽  
Kathryn H. Gunn ◽  
Rebecca D. Giuntoli ◽  
Alfonso Mondragón ◽  
John F. Marko
Keyword(s):  
Mechanical Properties ◽  
Mechanical Model ◽  
Magnetic Tweezers ◽  
Experimental Results ◽  
Double Helices ◽  
Statistical Mechanical Model ◽  
Statistical Mechanical ◽  
Multiple Domains

We study the statistical-mechanical properties of intertwined double-helical DNAs (DNA braids). In magnetic tweezers experiments we find that torsionally-stressed stretched braids supercoil via an abrupt buckling transition, which is associated with nucleation of a braid end loop, and that the buckled braid is characterized by proliferation of multiple domains. Differences between the mechanics of DNA braids and supercoiled single DNAs can be understood as an effect of increased bulkiness in the structure of the former. The experimental results are in accord with the predictions of a previously-described statistical-mechanical model.

Approximate energy spectra and statistical mechanical functions of some diatomic molecular hydrides

2021 ◽  
pp. 1-6
Author(s):  
A.N. Ikot ◽  
U.S. Okorie ◽  
G.J. Rampho ◽  
Hewa Y. Abdullah
Keyword(s):  
Mechanical Properties ◽  
Partition Function ◽  
Thermodynamic Functions ◽  
Potential Model ◽  
Energy Spectra ◽  
Energy Eigenvalues ◽  
Radial Schrödinger Equation ◽  
Statistical Mechanical ◽  
Vibrational Partition Function ◽  
Maclaurin Formula

In this study, we have investigated the statistical mechanical properties of the Varshni potential model for some diatomic molecular hydrides via the Euler–Maclaurin formula. This was done using the approximate analytical energy eigenvalues, which were obtained by solving the radial Schrödinger equation with the Greene–Aldrich approximation and suitable coordinate transformation schemes. The effect of high temperatures and upper bound vibration quantum number on the vibrational partition function and other thermodynamic functions of the selected diatomic molecular hydrides were studied. We also show that these effects on the thermodynamic functions considered were similar for all the diatomic molecular hydrides selected.

Dispersion technology on mechanical properties of carbon nanomaterials reinforced epoxy nanocomposites

2020 ◽  
Vol 34 (07n09) ◽  
pp. 2040019
Author(s):  
Chin-Lung Chiang ◽  
Chien-Wei Hsu ◽  
Hsiu-Ming Wu ◽  
Ming-Yuan Shen
Keyword(s):  
Mechanical Properties ◽  
Contact Area ◽  
Carbon Nanomaterials ◽  
Flexural Modulus ◽  
Stress Transfer ◽  
Phonon Transport ◽  
Epoxy Nanocomposites ◽  
Constant Area ◽  
Surface Contact Area ◽  
Scanning Electron

Graphene nanoplatelets (GNPs) are platelet-liked graphite nanocrystals with multigraphene layers. In general, a high contact area between polymer and nanofiller maximizes stress transfer from the polymer matrix to nanofillers. Therefore, GNPs can be expected to exhibit better reinforcement than CNTs in polymer composites, because of their ultrahigh aspect ratio (600–10,000) and higher surface constant area. The GNPs planar structure provides a 2D path for phonon transport, and the ultrahigh surface area allows a large surface contact area with polymer resulting in the enhancement of the composite thermal conductivity. In this study, simple and efficient planetary mixing methods were used to enable the GNPs to disperse uniformly throughout the epoxy solution (i.e. 0, 0.1, 0.25, 0.5, 0.75, and 1.0 wt%) and then to prepare GNPs/epoxy nanocomposites. Mechanical properties of the nanocomposite, including ultimate tensile, flexural strength and flexural modulus, were investigated. Finally, the fracture surface of the specimen was investigated using scanning electron microscopy (SEM) to determine the dispersion of the GNPs in the composites.

scholarly journals Black hole thermodynamics

2014 ◽  
Vol 23 (11) ◽  
pp. 1430023 ◽  
Author(s):  
S. Carlip
Keyword(s):  
Mechanical Properties ◽  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Information Loss ◽  
Black Hole Thermodynamics ◽  
Information Loss Paradox ◽  
Black Bodies ◽  
Statistical Mechanical ◽  
The Many

The discovery in the early 1970s that black holes radiate as black bodies has radically affected our understanding of general relativity, and offered us some early hints about the nature of quantum gravity. In this paper, will review the discovery of black hole thermodynamics and summarize the many independent ways of obtaining the thermodynamic and (perhaps) statistical mechanical properties of black holes. I will then describe some of the remaining puzzles, including the nature of the quantum microstates, the problem of universality, and the information loss paradox.

Sign in / Sign up

Export Citation Format

Share Document