scholarly journals THE EFFECTIVE POTENTIAL APPROXIMATION OF ADSORBED 4He FILM IN QUASI TWO DIMENSIONAL MOTION

1984 ◽  
Vol 33 (6) ◽  
pp. 797
Author(s):  
GUO ZHI-CHUN ◽  
MIAO SHENG-QING ◽  
YI YOU-MIN
Keyword(s):  
Effective Potential ◽  
Two Dimensional ◽  
Potential Approximation ◽  
4He Film ◽  
Effective Potential Approximation

scholarly journals ON THERMAL PHASE STRUCTURE OF DEFORMED GROSS–NEVEU MODEL

1996 ◽  
Vol 11 (39n40) ◽  
pp. 3091-3102 ◽  
Author(s):  
H.-T. SATO ◽  
H. TOCHIMURA
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Effective Potential ◽  
Phase Structure ◽  
Chiral Symmetry Breaking ◽  
Two Dimensional ◽  
Polymer Model ◽  
Pauli Matrices ◽  
Thermal Phase ◽  
Gross Neveu Model

We illustrate the phase structure of a deformed two-dimensional Gross–Neveu model which is defined by undeformed field contents plus deformed Pauli matrices. This deformation is based on two motives to find a more general polymer model and to estimate how q-deformed field theory affects on its effective potential. Some regions where chiral symmetry breaking and restoration take place repeatedly as temperature increasing are found.

scholarly journals Band functions in the presence of magnetic steps

2015 ◽  
Vol 26 (01) ◽  
pp. 161-184 ◽  
Author(s):  
P. D. Hislop ◽  
N. Popoff ◽  
N. Raymond ◽  
M. P. Sundqvist
Keyword(s):  
Magnetic Field ◽  
Asymptotic Expansion ◽  
Magnetic Fields ◽  
Essential Spectrum ◽  
Effective Potential ◽  
Explicit Description ◽  
Natural Order ◽  
Two Dimensional ◽  
Piecewise Constant ◽  
The Magnetic Field

We complete the analysis of the band functions for two-dimensional magnetic Schrödinger operators with piecewise constant magnetic fields. The discontinuity of the magnetic field can create edge currents that flow along the discontinuity, which have been described by physicists. Properties of these edge currents are directly related to the behavior of the band functions. The effective potential of the fiber operator is an asymmetric double well (eventually degenerated) and the analysis of the splitting of the bands incorporates the asymmetry. If the magnetic field vanishes, the reduced operator has essential spectrum and we provide an explicit description of the band functions located below the essential spectrum. For non-degenerate magnetic steps, we provide an asymptotic expansion of the band functions at infinity. We prove that when the ratio of the two magnetic fields is rational, a splitting of the band functions occurs and has a natural order, predicted by numerical computations.

Diffusion-Controlled Reactions in Micellar Systems

1994 ◽  
Vol 366 ◽  
Author(s):  
Masanori Tachiya ◽  
Alexander V. Barzykin
Keyword(s):  
Reaction Kinetics ◽  
Stochastic Theory ◽  
Micellar Solutions ◽  
Dynamic Information ◽  
Potential Approximation ◽  
Guest Molecules ◽  
Micellar Systems ◽  
Diffusion Controlled ◽  
Effective Potential Approximation ◽  
General Method

ABSTRACTReaction kinetics in micellar solutions are studied theoretically with an emphasis on diffusioncontrolled luminescence quenching. Different spatial arrangements of reactants within individual micelles are analyzed and a general method for treating diffusion-controlled reactions in a finite volume employing an effective potential approximation is developed. Several models are considered for the exchange of reactants between micelles including migration mediated by the bulk phase and successive multiparticle hopping through transient channels connecting micelles during their sticky collisions. These results are combined in a general stochastic theory of reaction kinetics in micellar solutions with exchange. The theory is further extended to reactions in clusters of micelles using a continuous time random walk approach. Once the principal features of micellar kinetics are understood, one can extract important structural and dynamic information on the aggregates and their guest molecules by analyzing suitably designed experiments.

scholarly journals Outer resonances and effective potential analogy in two-dimensional dielectric cavities

2010 ◽  
Vol 374 (17-18) ◽  
pp. 1893-1899 ◽  
Author(s):  
Jinhang Cho ◽  
Inbo Kim ◽  
Sunghwan Rim ◽  
Geo-Su Yim ◽  
Chil-Min Kim
Keyword(s):  
Effective Potential ◽  
Two Dimensional
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