Survival probability in one dimension for theA+B→B reaction with hard-core repulsion

1996 ◽  
Vol 84 (3-4) ◽  
pp. 697-711 ◽  
Author(s):  
D. Arora ◽  
D. P. Bhatia ◽  
M. A. Prasad
Keyword(s):  
Survival Probability ◽  
Hard Core ◽  
One Dimension

scholarly journals Diffusion-limited reactions of hard-core particles in one dimension

1999 ◽  
Vol 59 (2) ◽  
pp. 1996-2009 ◽  
Author(s):  
P.-A. Bares ◽  
M. Mobilia
Keyword(s):  
Hard Core ◽  
One Dimension ◽  
Diffusion Limited ◽  
Core Particles

Energy Gap in a Hard-Core Boson Model in One Dimension

2010 ◽  
Vol 56 (3(1)) ◽  
pp. 1011-1015 ◽  
Author(s):  
Ji-Woo Lee ◽  
Tae Young Park ◽  
Yong Chul Lee
Keyword(s):  
Energy Gap ◽  
Hard Core ◽  
One Dimension ◽  
Boson Model

scholarly journals Anyons from three-body hard-core interactions in one dimension

2020 ◽  
Vol 412 ◽  
pp. 168003 ◽  
Author(s):  
N.L. Harshman ◽  
A.C. Knapp
Keyword(s):  
Hard Core ◽  
One Dimension ◽  
Three Body

DEGENERATE GASES UNDER HARMONIC CONFINEMENT IN ONE DIMENSION: RIGOROUS RESULTS IN THE IMPENETRABLE-BOSONS/SPIN-POLARIZED-FERMIONS LIMIT

2002 ◽  
Vol 16 (16) ◽  
pp. 2161-2184 ◽  
Author(s):  
P. VIGNOLO ◽  
A. MINGUZZI ◽  
M. P. TOSI
Keyword(s):  
Density Functional ◽  
Hard Core ◽  
One Dimension ◽  
Atomic Gases ◽  
Excitation Spectra ◽  
Rigorous Results ◽  
Magnetic Traps ◽  
Degenerate Gases ◽  
Spin Polarized ◽  
Harmonic Confinement

Developments in the realization and study of ultracold atomic gases inside elongated magnetic traps and atom waveguides have stimulated calculations of equilibrium properties and excitation spectra for mesoscopic clouds of hard-core bosons and of spin-polarized fermions moving under an external harmonic potential in one dimension. A rigorous correspondence exists between the wave functions of these two types of system, allowing a number of exact results to be obtained. The main theoretical techniques and results are reviewed in this article, with emphasis on their relevance in regard to tests of the Thomas–Fermi approximation for confined Fermi fluids and to the foundations of density functional theory for inhomogeneous quantum systems.

Takahasi Nearest-Neighbour Gas Revisited; Stockmayer Gases with a Hard Core

2011 ◽  
Vol 66 (3-4) ◽  
pp. 247-250 ◽  
Author(s):  
Akira Matsumoto
Keyword(s):  
Hard Core ◽  
One Dimension ◽  
Thermodynamic Quantities ◽  
Nearest Neighbour ◽  
Inflexion Point ◽  
First Order ◽  
First Order Phase Transition ◽  
Higher Temperature ◽  
Lower Temperature ◽  
First Order Phase

Some thermodynamic quantities for the Stockmayer potential (12, 6, 3) with a hard core are analytically evaluated at an isobaric process. The parameters of polar gases for 16 substances are obtained. Also some thermodynamic quantities for H2O are calculated numerically and drawn graphically. The inflexion point of the length L corresponds physically to a boiling point. L indicates the liquid phase from lower temperature to the inflexion point and the gaseous phase from the inflexion point to higher temperature. The boiling temperatures indicate reasonable values compared with experimental data. The behaviour of L suggests the chance of a first-order phase transition in one-dimension.

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