Phase transitions in two-component spatially homogeneous systems. I. Gaussian approximation of the partition function

1987 ◽  
Vol 72 (3) ◽  
pp. 998-1005 ◽  
Author(s):  
O. V. Patsagin ◽  
I. R. Yukhnovskii
Keyword(s):  
Phase Transitions ◽  
Partition Function ◽  
Gaussian Approximation ◽  
Homogeneous Systems ◽  
Two Component ◽  
Spatially Homogeneous

Phase transitions and shapes of two component membranes and vesicles II : weak segregation limit

1994 ◽  
Vol 4 (8) ◽  
pp. 1333-1362 ◽  
Author(s):  
Takashi Taniguchi ◽  
Kyozi Kawasaki ◽  
David Andelman ◽  
Toshihiro Kawakatsu
Keyword(s):  
Phase Transitions ◽  
Two Component

scholarly journals Phase transitions in a two-component site-bond percolation model

2000 ◽  
Vol 62 (13) ◽  
pp. 8719-8724 ◽  
Author(s):  
H. M. Harreis ◽  
W. Bauer
Keyword(s):  
Phase Transitions ◽  
Percolation Model ◽  
Bond Percolation ◽  
Two Component

scholarly journals Use of the Complex Zeros of the Partition Function to Investigate the Critical Behavior of the Generalized Interacting Self-Avoiding Trail Model

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 153
Author(s):  
Damien Foster ◽  
Ralph Kenna ◽  
Claire Pinettes
Keyword(s):  
Phase Transitions ◽  
Partition Function ◽  
Critical Behavior ◽  
Finite Size ◽  
The Self ◽  
Partition Function Zeros ◽  
Adsorption Transition ◽  
Function Zeros ◽  
Complex Zeros ◽  
Self Avoiding Walk

The complex zeros of the canonical (fixed walk-length) partition function are calculated for both the self-avoiding trails model and the vertex-interacting self-avoiding walk model, both in bulk and in the presence of an attractive surface. The finite-size behavior of the zeros is used to estimate the location of phase transitions: the collapse transition in the bulk and the adsorption transition in the presence of a surface. The bulk and surface cross-over exponents, ϕ and ϕ S , are estimated from the scaling behavior of the leading partition function zeros.

STATISTICAL MECHANICS OF GALAXY CLUSTERING FOR A TWO-COMPONENT SYSTEM: EFFECT OF THE EXTENDED NATURE OF GALAXIES

2009 ◽  
Vol 18 (06) ◽  
pp. 959-970 ◽  
Author(s):  
MANZOOR A. MALIK ◽  
FAROOQ AHMAD ◽  
SHAKEEL AHMAD ◽  
SAJAD MASOOD
Keyword(s):  
Dark Matter ◽  
Distribution Function ◽  
Partition Function ◽  
Finite Size ◽  
Two Component System ◽  
System Effect ◽  
Component System ◽  
Two Component ◽  
The Universe ◽  
New Distribution

We develop a more general theory of the two-component system of galaxies by treating the galaxies as extended structures. We make use of the softened potential (r2 + ∊2)-1/2, with ∊ as a measure of the finite size of the galaxies, to evaluate the partition function, various thermodynamic properties of the system and the distribution function. Our analysis shows that the distribution function is not too greatly altered by the softening, thus vindicating our earlier claim1 besides making the theory more elaborate as all the earlier results1,2 are retrieved exactly from the new distribution function. Also, an attempt is made to account for the dark matter in the universe.

scholarly journals Surface phase transitions in two-component systems

1996 ◽  
Vol 352-354 ◽  
pp. 960-963 ◽  
Author(s):  
Giorgio Mazzeo ◽  
Enrico Carlon ◽  
Henk van Beijeren
Keyword(s):  
Phase Transitions ◽  
Surface Phase ◽  
Surface Phase Transitions ◽  
Component Systems ◽  
Two Component ◽  
Two Component Systems

Role of Block Junctions in the Interplay of Phase Transitions of Two-Component Polymeric Systems

2011 ◽  
Vol 115 (28) ◽  
pp. 8853-8857 ◽  
Author(s):  
Yu Ma ◽  
Cheng Li ◽  
Tao Cai ◽  
Juan Li ◽  
Wenbing Hu
Keyword(s):  
Phase Transitions ◽  
Polymeric Systems ◽  
Two Component

scholarly journals MODULATION INSTABILITY IN TWO COMPONENT BOSE-EINSTEIN CONDENSATE WITH RELATIVE COMPONENT MOTION

2019 ◽  
Author(s):  
A.P. Ivashin ◽  
E.D. Marinenko
Keyword(s):  
Relative Velocity ◽  
Modulation Instability ◽  
Einstein Condensate ◽  
Relative Speed ◽  
Bose Einstein Condensate ◽  
Two Component ◽  
Wave Numbers ◽  
Component Motion ◽  
Spatially Homogeneous ◽  
Bose Einstein

The development of modulation instability in a spatially homogeneous two-component Bose-Einstein condensate (BEC), in which the interacting components move through each other at a relative speed, is investigated. It is shown that nonlinear dynamics, leading to modulation instability, is determined by both the values of the constant interaction and the relative velocity between the components. The maximum oscillation increment is found and the limits of the existence of modulation instability in the space of wave numbers are determined.

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