scholarly journals How the overlap of excluded volume determines the configurational energy landscape and “thermodynamics” in the “one to five hard disks in a box” system

2020 ◽  
Vol 545 ◽  
pp. 123666
Author(s):  
Adrián Huerta ◽  
J. Quetzalcóatl Toledo-Marín ◽  
Gerardo G. Naumis
2017 ◽  
Vol 5 (3) ◽  
pp. 1153-1159 ◽  
Author(s):  
Gopi Krishna Phani Dathar ◽  
Janakiraman Balachandran ◽  
Paul R. C. Kent ◽  
Adam J. Rondinone ◽  
P. Ganesh

A schematic representation of the configurational energy landscape linking configurational and vibrational entropy to ionic transport.


2014 ◽  
Vol 51 (1) ◽  
pp. 235-246 ◽  
Author(s):  
D. Aristoff

Random arrangements of points in the plane, interacting only through a simple hard-core exclusion, are considered. An intensity parameter controls the average density of arrangements, in analogy with the Poisson point process. It is proved that, at high intensity, an infinite connected cluster of excluded volume appears almost surely.


2019 ◽  
Vol 18 (02) ◽  
pp. 1940008 ◽  
Author(s):  
Leticia F. Cugliandolo ◽  
Giuseppe Gonnella ◽  
Isabella Petrelli

In this paper, we perform a numerical analysis of the effective temperature extracted from the deviations from the fluctuation dissipation theorem in a system of active Brownian spherical particles with excluded volume interactions. We show that, in the low density homogeneous phase at fixed Péclet number, the effective temperature decreases when the density of the system is increased. We compare this trend to the one found in the literature with simulations of other active models.


2014 ◽  
Vol 51 (01) ◽  
pp. 235-246 ◽  
Author(s):  
D. Aristoff

Random arrangements of points in the plane, interacting only through a simple hard-core exclusion, are considered. An intensity parameter controls the average density of arrangements, in analogy with the Poisson point process. It is proved that, at high intensity, an infinite connected cluster of excluded volume appears almost surely.


1975 ◽  
Vol 26 ◽  
pp. 395-407
Author(s):  
S. Henriksen

The first question to be answered, in seeking coordinate systems for geodynamics, is: what is geodynamics? The answer is, of course, that geodynamics is that part of geophysics which is concerned with movements of the Earth, as opposed to geostatics which is the physics of the stationary Earth. But as far as we know, there is no stationary Earth – epur sic monere. So geodynamics is actually coextensive with geophysics, and coordinate systems suitable for the one should be suitable for the other. At the present time, there are not many coordinate systems, if any, that can be identified with a static Earth. Certainly the only coordinate of aeronomic (atmospheric) interest is the height, and this is usually either as geodynamic height or as pressure. In oceanology, the most important coordinate is depth, and this, like heights in the atmosphere, is expressed as metric depth from mean sea level, as geodynamic depth, or as pressure. Only for the earth do we find “static” systems in use, ana even here there is real question as to whether the systems are dynamic or static. So it would seem that our answer to the question, of what kind, of coordinate systems are we seeking, must be that we are looking for the same systems as are used in geophysics, and these systems are dynamic in nature already – that is, their definition involvestime.


Author(s):  
P. R. Swann ◽  
W. R. Duff ◽  
R. M. Fisher

Recently we have investigated the phase equilibria and antiphase domain structures of Fe-Al alloys containing from 18 to 50 at.% Al by transmission electron microscopy and Mössbauer techniques. This study has revealed that none of the published phase diagrams are correct, although the one proposed by Rimlinger agrees most closely with our results to be published separately. In this paper observations by transmission electron microscopy relating to the nucleation of disorder in Fe-24% Al will be described. Figure 1 shows the structure after heating this alloy to 776.6°C and quenching. The white areas are B2 micro-domains corresponding to regions of disorder which form at the annealing temperature and re-order during the quench. By examining specimens heated in a temperature gradient of 2°C/cm it is possible to determine the effect of temperature on the disordering reaction very precisely. It was found that disorder begins at existing antiphase domain boundaries but that at a slightly higher temperature (1°C) it also occurs by homogeneous nucleation within the domains. A small (∼ .01°C) further increase in temperature caused these micro-domains to completely fill the specimen.


Author(s):  
J.A. Eades ◽  
E. Grünbaum

In the last decade and a half, thin film research, particularly research into problems associated with epitaxy, has developed from a simple empirical process of determining the conditions for epitaxy into a complex analytical and experimental study of the nucleation and growth process on the one hand and a technology of very great importance on the other. During this period the thin films group of the University of Chile has studied the epitaxy of metals on metal and insulating substrates. The development of the group, one of the first research groups in physics to be established in the country, has parallelled the increasing complexity of the field.The elaborate techniques and equipment now needed for research into thin films may be illustrated by considering the plant and facilities of this group as characteristic of a good system for the controlled deposition and study of thin films.


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