2,492 research outputs found
An Elementary Derivation of the Harmonic Oscillator Propagator
The harmonic oscillator propagator is found straightforwardly from the free
particle propagator, within the imaginary-time Feynman path integral formalism.
The derivation presented here is extremely simple, requiring only elementary
mathematical manipulations and no clever use of Hermite polynomials,
annihilation & creation operators, cumbersome determinant evaluations or any
kind of involved algebra.Comment: 1 page, RevTex
Conformal Invariance in (2+1)-Dimensional Stochastic Systems
Stochastic partial differential equations can be used to model second order
thermodynamical phase transitions, as well as a number of critical
out-of-equilibrium phenomena. In (2+1) dimensions, many of these systems are
conjectured (and some are indeed proved) to be described by conformal field
theories. We advance, in the framework of the Martin-Siggia-Rose field
theoretical formalism of stochastic dynamics, a general solution of the
translation Ward identities, which yields a putative conformal energy-momentum
tensor. Even though the computation of energy-momentum correlators is
obstructed, in principle, by dimensional reduction issues, these are bypassed
by the addition of replicated fields to the original (2+1)-dimensional model.
The method is illustrated with an application to the Kardar-Parisi-Zhang (KPZ)
model of surface growth. The consistency of the approach is checked by means of
a straightforward perturbative analysis of the KPZ ultraviolet region, leading,
as expected, to its conformal fixed point.Comment: Title, abstract and part of the text have been rewritten. To be
published in Physical Review E
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
Supersymmetric Scattering in Two Dimensions
We briefly review results on two-dimensional supersymmetric quantum field
theories that exhibit factorizable particle scattering. Our particular focus is
on a series of supersymmetric theories, for which exact -matrices
have been obtained. A Thermodynamic Bethe Ansatz (TBA) analysis for these
theories has confirmed the validity of the proposed -matrices and has
pointed at an interesting `folding' relation with a series of
supersymmetric theories.Comment: 3 pages, wstwocl.sty, epsfig.sty, talk delivered at the HEP95
Conference of the EPS, Brussels, July/August 199
Graphene Conductivity near the Charge Neutral Point
Disordered Fermi-Dirac distributions are used to model, within a
straightforward and essentially phenomenological Boltzmann equation approach,
the electron/hole transport across graphene puddles. We establish, with
striking experimental support, a functional relationship between the graphene
minimum conductivity, the mobility in the Boltzmann regime, and the steepness
of the conductivity parabolic profile usually observed through gate-voltage
scanning around the charge neutral point.Comment: 5 pages, 2 figures - Accepted for publication in Physical Review
Markovian Description of Unbiased Polymer Translocation
We perform, with the help of cloud computing resources, extensive Langevin
simulations which provide compelling evidence in favor of a general markovian
framework for unbiased polymer translocation. Our statistical analysis consists
of careful evaluations of (i) two-point correlation functions of the
translocation coordinate and (ii) the empirical probabilities of complete
polymer translocation (taken as a function of the initial number of monomers on
a given side of the membrane). We find good agreement with predictions derived
from the Markov chain approach recently addressed in the literature by the
present authors.Comment: 11 pages, 4 figure
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Tricritical Ising Model with a Boundary
We study the integrable and supersymmetric massive deformation of the tricritical Ising model in the presence of a boundary. We use constraints from supersymmetry in order to compute the exact boundary -matrices, which turn out to depend explicitly on the topological charge of the supersymmetry algebra. We also solve the general boundary Yang-Baxter equation and show that in appropriate limits the general reflection matrices go over the supersymmetry preserving solutions. Finally, we briefly discuss the possible connection between our reflection matrices and boundary perturbations within the framework of perturbed boundary conformal field theory
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