BULK PROPERTIES OF CHERN–SIMONS SUPERCONDUCTIVITY AT FINITE TEMPERATURES

1994 ◽  
Vol 08 (22) ◽  
pp. 3095-3135 ◽  
Author(s):  
S. S. MANDAL ◽  
S. RAMASWAMY ◽  
V. RAVISHANKAR
Keyword(s):  
Mean Field Theory ◽  
Free Field ◽  
Mean Field ◽  
Form Factors ◽  
Spin Correlation ◽  
Thermal Fluctuations ◽  
Correlation Factor ◽  
Electromagnetic Response ◽  
The Mean ◽  
Chern Simons

We study Chern–Simons (CS) superconductivity at finite temperatures for a system of two dimensional 'spin-1/2' fermions which are minimally coupled to both the CS and Maxwell gauge fields. We evaluate the electromagnetic response of the system as well as its thermodynamic properties within the mean field formalism. Our results for magnetic susceptibility, conductivity and dielectric constant show a sharp transition to the normal state over a narrow range of temperatures. The vanishing of the off-diagonal conductivity due to a corresponding fall in parity and time reversal [Formula: see text] violating correlation factor may be interpreted to be an effective restoration of [Formula: see text] symmetries in the macroscopic state. We find that the spin correlation function has a negligibly small numerical value at all temperatures, which implies that the thermal fluctuations dominate over the quantum fluctuations in the spin state. To explore the validity of mean field theory at high temperatures (HT), we compare the responses as well as the form factors for both mean field and free field (perturbative) formalism and find that they are essentially equivalent at HT. Finally, we present a coarse criterion for the validity of the mean field ansatz by regulating the CS Lagrangian with a Maxwell term.

Thermal fluctuations in the interface of an inhomogeneous fluid

1982 ◽  
Vol 60 (2) ◽  
pp. 137-153 ◽  
Author(s):  
Luis de Sobrino ◽  
Jože Peternelj
Keyword(s):  
Capillary Wave ◽  
Mean Field Theory ◽  
Mean Field ◽  
Wave Theory ◽  
Thermal Fluctuations ◽  
Van Der Waals Gas ◽  
Inhomogeneous Fluid ◽  
Consistent Manner ◽  
The Mean ◽  
Interface Profile

We use van Kampen's expression for the partition function of a van der Waals gas to investigate the effect of noncritical fluctuations on the interface of an inhomogeneous fluid. Such a procedure combines in a consistent manner the results of mean field theory and of capillary wave theory and, in addition, uncovers contributions due to fluctuations of the interface profile. Although the latter add negligibly to the interfacial width, they result in corrections to the mean field surface tension comparable to those resulting from capillary fluctuations. The effect of the walls in limiting the fluctuations is explicitly taken into account.

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

scholarly journals RELATIVE MOTION CORRECTION TO FISSION BARRIERS

2008 ◽  
Vol 17 (01) ◽  
pp. 151-159 ◽  
Author(s):  
J. SKALSKI
Keyword(s):  
Relative Motion ◽  
Cluster Model ◽  
Motion Correction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Ternary Fission ◽  
Skyrme Interaction ◽  
Hartree Fock ◽  
Fission Barriers ◽  
The Mean

We discuss the effect of kinetic energy of the relative motion becoming spurious for separate fragments on the selfconsistent mean-field fission barriers. The treatment of the relative motion in the cluster model is contrasted with the necessity of a simpler and approximate approach in the mean-field theory. A scheme of the energy correction to the Hartree-Fock is proposed. The results obtained with the effective Skyrme interaction SLy 6 show that the correction, previously estimated as ~ 8 MeV in A = 70 - 100 nuclei, amounts to 4 MeV in the medium heavy nucleus 198 Hg and to null in 238 U . However, the corrected barrier implies a shorter fission half-life of the latter nucleus. The same effect is expected to lower barriers for multipartition (i.e. ternary fission, etc) and make hyperdeformed minima less stable.

MODIFIED VAN DER WAALS MODEL FOR SURFACE-MELTING DISCUSSION

1995 ◽  
Vol 02 (06) ◽  
pp. 773-785 ◽  
Author(s):  
L. WOJTCZAK ◽  
J.H. RUTKOWSKI
Keyword(s):  
Thermodynamic Potential ◽  
Van Der Waals ◽  
Mean Field Theory ◽  
Mean Field ◽  
Energy Functional ◽  
Surface Melting ◽  
Free Energy Functional ◽  
Thickness Profile ◽  
The Mean ◽  
Surface Liquid

The thermodynamic potential governing the surface-melting, considered in terms of the crystallinity and its profile is related to the Gibbs free-energy functional, leads to van der Waals equation of state. The presented construction allows us to determine the mean-field coefficients by their reference to material constants. The model is applied to the surface-melting discussion within the Landau-type mean-field theory of phase-transitions. In particular, the surface-melting temperature is estimated and temperature dependence of the surface liquid-like layer thickness profile is obtained.

On the mean-field theory of spin glasses

1980 ◽  
Vol 13 (3) ◽  
pp. 403-418 ◽  
Author(s):  
A Blandin ◽  
M Gabay ◽  
T Garel
Keyword(s):  
Field Theory ◽  
Spin Glasses ◽  
Mean Field Theory ◽  
Mean Field ◽  
The Mean
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