scholarly journals Thermodynamical properties of a three-dimensional free electron gas confined in a one-dimensional harmonical potential

2014 ◽  
Vol 63 (24) ◽  
pp. 240502
Author(s):  
Shao Zong-Qian ◽  
Chen Jin-Wang ◽  
Li Yu-Qi ◽  
Pan Xiao-Yin
Keyword(s):  
Free Electron ◽  
Electron Gas ◽  
Three Dimensional ◽  
One Dimensional ◽  
Thermodynamical Properties

scholarly journals EMITTANCE LIMITATION OF A CONDITIONED BEAM IN A STRONG FOCUSING FEL UNDULATOR

2007 ◽  
Vol 22 (22) ◽  
pp. 3826-3837 ◽  
Author(s):  
Z. HUANG ◽  
G. STUPAKOV ◽  
S. REICHE
Keyword(s):  
Electron Beam ◽  
Free Electron ◽  
Free Electron Laser ◽  
Three Dimensional ◽  
Complete Elimination ◽  
Dimensional Model ◽  
Simulation Code ◽  
One Dimensional ◽  
Strong Focusing ◽  
Dimensional Simulation

Various methods have been proposed to condition an electron beam in order to reduce its emittance effect and to improve the short-wavelength free electron laser (FEL) performance. In this paper, we show that beam conditioning does not result in a complete elimination of the emittance effect in an alternating-gradient focusing FEL undulator. Using a one-dimensional model and a three-dimensional simulation code, we derive a criteria for the emittance limitation of a perfectly conditioned beam that depends on the focusing structure.

scholarly journals INTERACTIONS IN QUASICRYSTALS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1329-1337 ◽  
Author(s):  
JULIEN VIDAL ◽  
DOMINIQUE MOUHANNA ◽  
THIERRY GIAMARCHI
Keyword(s):  
Solid State ◽  
Transport Properties ◽  
Fermi Liquid ◽  
Electron Gas ◽  
Three Dimensional ◽  
Luttinger Liquid ◽  
Dimensional Model ◽  
One Dimensional ◽  
Interacting Electrons ◽  
The One

Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is dealing with interacting electrons in periodic crystalline structures. This problem is much more fascinating when periodicity is lacking as it is the case in quasicrystalline structures. Here, we discuss the influence of the interactions in quasicrystals and show, on a controlled one-dimensional model, that they lead to anomalous transport properties, intermediate between those of an interacting electron gas in a periodic and in a disordered potential.

THERMODYNAMICS OF LOW-DENSITY ELECTRON GAS ON HIGHLY DISORDERED ONE-DIMENSIONAL HOST LATTICE

2004 ◽  
Vol 18 (20n21) ◽  
pp. 2863-2876
Author(s):  
V. SLAVIN ◽  
A. SLUTSKIN
Keyword(s):  
Spin Glasses ◽  
Electron Gas ◽  
Three Dimensional ◽  
Thermodynamic Characteristics ◽  
Host Lattice ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Disordered Lattice ◽  
Dimensional Electron Gas ◽  
Computer Procedure

The low-temperature thermodynamics of a one-dimensional electron gas on a disordered lattice, which comes to existence when the inter-electron distances exceed noticeably the inter-site ones, has been studied. An efficient computer procedure, based on the presentation of the partition function as a product of random transfer-matrixes, has been developed for calculations of thermodynamic characteristics of the system under consideration. The lattice structures were varied from completely chaotic up to the strictly regular one. It has been established that for any degree of disorder the entropy and heat capacity of the system tend to zero linearly as the temperature is reduced. The conclusion about the gapless character of the elementary excitations spectrum has been made. An instability of one-dimensional electron gas on a disordered lattice has been revealed: under conditions of vanishingly small disordering of the lattice, the long-range order in the systems under consideration is broken by frustrations that are one-dimensional analogues of the frustrations in two- and three-dimensional spin glasses.

Structure and function of neural networks in the retina

1988 ◽  
Vol 46 ◽  
pp. 26-27
Author(s):  
Peter Sterling
Keyword(s):  
Ganglion Cells ◽  
Three Dimensional ◽  
Structure And Function ◽  
Synaptic Connections ◽  
Visual Axis ◽  
One Dimensional ◽  
Cat Retina ◽  
Ultrathin Sections ◽  
And Function ◽  
Insight Into

The synaptic connections in cat retina that link photoreceptors to ganglion cells have been analyzed quantitatively. Our approach has been to prepare serial, ultrathin sections and photograph en montage at low magnification (˜2000X) in the electron microscope. Six series, 100-300 sections long, have been prepared over the last decade. They derive from different cats but always from the same region of retina, about one degree from the center of the visual axis. The material has been analyzed by reconstructing adjacent neurons in each array and then identifying systematically the synaptic connections between arrays. Most reconstructions were done manually by tracing the outlines of processes in successive sections onto acetate sheets aligned on a cartoonist's jig. The tracings were then digitized, stacked by computer, and printed with the hidden lines removed. The results have provided rather than the usual one-dimensional account of pathways, a three-dimensional account of circuits. From this has emerged insight into the functional architecture.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

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