771 research outputs found
Thermal soliton correlation functions in theories with a Z(N) symmetry
We show that the quantum solitons occurring in theories describing a complex
scalar field in (1+1)-dimensions with a Z(N) symmetry may be identified with
sine-Gordon quantum solitons in the phase of this field. Then using both the
Euclidean thermal Green function of the two-dimensional free massless scalar
field in coordinate space and its dual, we obtain an explicit series expression
for the corresponding solitonic correlation function at finite temperature.Comment: 11 page
Obtaining a New Representation for the Golden Ratio by Solving a Biquadratic Equation
In the present work we show how different ways to solve biquadratic equations
can lead us to different representations of its solutions. A particular
equation which has the golden ratio and its reciprocal as solutions is shown as
an example.Comment: To appear in J. Appl. Math. Phys., 4 pages. Recreational Mathematic
Vanishing conductivity of quantum solitons in polyacetylene
Quantum solitons or polarons are supposed to play a crucial role in the
electric conductivity of polyacetylene, in the intermediate doping regime. We
present an exact fully quantized calculation of the quantum soliton
conductivity in polyacetylene and show that it vanishes exactly. This is
obtained by applying a general method of soliton quantization, based on
order-disorder duality, to a Z(2)-symmetric complex extension of the TLM
dimerization effective field theory. We show that, in this theory,
polyacetylene solitons are sine-Gordon solitons in the phase of the complex
field.Comment: To appear in J. Phys. A: Math. Theor., 15 page
Free Energy Evaluation in Polymer Translocation via Jarzynski Equality
We perform, with the help of cloud computing resources, extensive Langevin
simulations which provide free energy estimates for unbiased three dimensional
polymer translocation. We employ the Jarzynski equality in its rigorous
setting, to compute the variation of the free energy in single monomer
translocation events. In our three-dimensional Langevin simulations, the
excluded-volume and van der Waals interactions between beads (monomers and
membrane atoms) are modeled through a repulsive Lennard-Jones (LJ) potential
and consecutive monomers are subject to the Finite-Extension Nonlinear Elastic
(FENE) potential. Analysing data for polymers with different lengths, the free
energy profile is noted to have interesting finite size scaling properties.Comment: 14 pages, 5 figures, Accepted for publication in Physics Letters
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