scholarly journals Long-range Coulomb forces and the behavior of the chemical potential of electrons in metals at a second-order phase transition

1994 ◽  
Vol 50 (22) ◽  
pp. 16594-16597 ◽  
Author(s):  
D. van der Marel ◽  
D. I. Khomskii ◽  
G. M. Eliashberg
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Order Phase Transition ◽  
Chemical Potential ◽  
Second Order ◽  
Second Order Phase Transition

scholarly journals Finite-size effects in disordered λφ4 model

2016 ◽  
Vol 30 (30) ◽  
pp. 1650207 ◽  
Author(s):  
R. Acosta Diaz ◽  
N. F. Svaiter
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Power Law ◽  
Order Phase Transition ◽  
Size Effects ◽  
Finite Size ◽  
Second Order ◽  
Finite Size Effects ◽  
Power Law Decay ◽  
Second Order Phase Transition

We discuss finite-size effects in one disordered [Formula: see text] model defined in a [Formula: see text]-dimensional Euclidean space. We consider that the scalar field satisfies periodic boundary conditions in one dimension and it is coupled with a quenched random field. In order to obtain the average value of the free energy of the system, we use the replica method. We first discuss finite-size effects in the one-loop approximation in [Formula: see text] and [Formula: see text]. We show that in both cases, there is a critical length where the system develop a second-order phase transition, when the system presents long-range correlations with power-law decay. Next, we improve the above result studying the gap equation for the size-dependent squared mass, using the composite field operator method. We obtain again that the system present a second-order phase transition with long-range correlation with power-law decay.

scholarly journals PHASE STRUCTURE OF FOUR-FERMION THEORIES AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL IN ARBITRARY DIMENSIONS

1995 ◽  
Vol 10 (15) ◽  
pp. 2241-2268 ◽  
Author(s):  
T. INAGAKI ◽  
T. KOUNO ◽  
T. MUTA
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Phase Structure ◽  
Chemical Potential ◽  
Expansion Method ◽  
Space Time ◽  
Second Order ◽  
Time Dimension ◽  
Arbitrary Space ◽  
Second Order Phase Transition

The phase structure of four-fermion theories is thoroughly investigated with varying temperature and chemical potential for arbitrary space-time dimensions (2≤D<4) by using the 1/N expansion method. It is shown that the chiral symmetry is restored in the theory under consideration for sufficiently high temperature and/or chemical potential. The critical line dividing the symmetric and the broken phase is given explicitly. It is found that for space-time dimension 2≤D<3 both the first order and the second order phase transition occur depending on the value of the temperature and chemical potential while for 3≤D<4 only the second order phase transition exists.

Second-order phase transition with coexistence of short-range and long-range ferromagnetic interactions in Ba1.7La0.3FeMoO6 compound

2014 ◽  
Vol 14 (6) ◽  
pp. 886-891 ◽  
Author(s):  
Tran Dang Thanh ◽  
Suhk-Kun Oh ◽  
Dong-Hyun Kim ◽  
Seong-Cho Yu ◽  
S.E. Demyanov ◽  
...  
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Order Phase Transition ◽  
Short Range ◽  
Second Order ◽  
Ferromagnetic Interactions ◽  
Second Order Phase Transition

Formation of long-range order near the second-order phase transition temperature in (NbSe4)3I

Physica B+C ◽  
1986 ◽  
Vol 143 (1-3) ◽  
pp. 261-263 ◽  
Author(s):  
Toshiaki Iwazumi ◽  
Mitsuru Izumi ◽  
Fumio Sasaki ◽  
Ryozo Yoshizaki ◽  
Etsuyuki Matsuura
Keyword(s):  
Phase Transition ◽  
Transition Temperature ◽  
Long Range ◽  
Phase Transition Temperature ◽  
Order Phase Transition ◽  
Second Order ◽  
Range Order ◽  
Long Range Order ◽  
Second Order Phase Transition

Second-order phase transition in crystals with long-range correlated quenched defects

1996 ◽  
Vol 53 (22) ◽  
pp. 14834-14842 ◽  
Author(s):  
A. L. Korzhenevskii ◽  
K. Herrmanns ◽  
W. Schirmacher
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Order Phase Transition ◽  
Second Order ◽  
Second Order Phase Transition

A crystallographic study of the second-order phase transition in bis(p-toluene sulphonate) diacetylene polymer crystals

1980 ◽  
Vol 69 ◽  
pp. 49 ◽  
Author(s):  
Richard L. Williams ◽  
David Bloor ◽  
David N. Batchelder ◽  
Michael B. Hursthouse ◽  
William B. Daniels
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Second Order ◽  
Polymer Crystals ◽  
Crystallographic Study ◽  
Second Order Phase Transition

Second-order phase transition of high isotactic polypropylene at high temperature

Polymer ◽  
2002 ◽  
Vol 43 (4) ◽  
pp. 1473-1481 ◽  
Author(s):  
Fangming Gu ◽  
Masamichi Hikosaka ◽  
Akihiko Toda ◽  
Swapan Kumar Ghosh ◽  
Shinichi Yamazaki ◽  
...  
Keyword(s):  
Phase Transition ◽  
High Temperature ◽  
Isotactic Polypropylene ◽  
Order Phase Transition ◽  
Second Order ◽  
Second Order Phase Transition
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