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Publications
Publications (37)
Various authors have invoked discretized fractional Brownian motion (fBm) as a model for chain polymers with long-range interaction of monomers along the chain. We show that for these, in contrast to the Brownian case, linear forces are acting between all pairs of constituents, attractive for small Hurst index H and mostly repulsive when H is large...
The angular-averaged differential cross section (dcs) of the elastic electron-proton (ep) scattering, covering Q2<1.0 GeV2, was fitted via a combined modified eq-scatterings where q is a point particle. The modifications represent the cloud-covering effects to q. An energy-decaying ratio (edr) was derived by inspecting the generated dcsep from the...
The angular-averaged differential cross section (dcs) of the elastic electron proton (ep) scattering, covering Q^2 < 1.0GeV^2, was fitted via a combined modified eq-scatterings where q is a point particle. The modifications represent the cloud-covering effects to q. An energy-decaying ratio (edr) was derived by inspecting the generated dcs ep from...
In this article we present recent results in our ongoing study for weakly self-avoiding fractional processes leading to polymer models. In particular we sketch the results for stars and loops. For fractional random walks we give an explicit formula for the spring constants in the bead-spring model. Furthermore recent findings for the scaling proper...
The world today grapples with the health crisis caused by the novel COVID-19. Unfortunately, the Philippines, which was spared from the previous epidemics like Ebola and SARS, is now facing this major obstacle. The local government units of the country responded by issuing guidelines to mitigate the spread of infection. Two neighboring cities in th...
The study was aimed at providing a device to estimate the range of values of the u-and d-quark masses through the elastic ep-scattering form factors at the low energy regime. ROOT generated dcsep data sets, from theoretical and experimental form factors, were compared to modified dcseq and their intersections were determined from the average of a t...
In this article we present recent results in our ongoing study for weakly self-avoiding fractional processes leading to polymer models. In particular we sketch the results for stars and loops. For fractional random walks we give an explicit formula for the spring constants in the bead-spring model. Furthermore recent findings for the scaling proper...
The world today grapples with the health crisis caused by the novel COVID-19. Unfortunately, the Philippines, which was spared from the previous epidemics like Ebola and SARS, is now facing this major obstacle. The local government units of the country responded by issuing guidelines to mitigate the spread of infection. Two neighboring cities in th...
In a previous paper an off-lattice discretization of fractional Brownian motion and a Metropolis algorithm were used to determine the asymptotic scaling of this discretized fractional Brownian motion under the influence of an excluded volume as in the Edwards and Domb-Joyce models. In this article we investigate the radius of gyration in order to o...
In this paper, we calculate the propagator of a particle of mass m moving in a constant force field g with constant friction of coefficient γ, whose motion is described by the Lagrangian of the form L = (mexp(γt))/ 2 (x − g/γ)^2 by translating the Feynman path integral into the framework of white noise analysis known as the Hida-Streit formulation...
To model non-Markovian fluctuations arising in biomolecular transport, we introduce a stochastic process with memory where Brownian motion is modulated sinusoidally. The probability density function and moments of this non-Markovian process are evaluated analytically as Hida stochastic functional integrals. Comparison of graphs of computed variance...
Self-repelling fractional Brownian motion (fBm) has been constructed, generalizing the Edwards model for the conformations of chain polymers. In this context of particular interest is the predicted scaling behaviour of their end-to-end length, i.e. the anomalous diffusion of self-repelling fBm. We briefly present the model and a heuristic formula o...
We use an off-lattice discretization of fractional Brownian motion and a
Metropolis Algorithm to determine the asymptotic scaling of this discretized
fractional Brownian motion under the influence of an excluded volume as in the
Edwards and Domb-Joyce models. We find a good agreement between the Flory index
describing the scaling of end-to-end leng...
We study the chaos decomposition of self-intersection local times and their
regularization, with a particular view towards Varadhan's renormalization for
the planar Edwards model.
Self-avoiding or self-repelling random paths, with motivation from their use in polymer physics, have been widely studied using the tools of mathematics, physics, and computer simulations. We illustrate this by three recent examples.
The winding probability function for a biopolymer diffusing in a crowded cell is obtained with the drift coefficient f(s) involving Bessel functions of general form f(s) = kJ2p+1 (νs). The variable s is the length along the chain and ν is a constant which can be used to simulate the frequency of appearance of a certain type of amino acid. Applicati...
Recently the Edwards model for chain polymers in good solvents has been
extended to include fractional Brownian motion trajectories as a
description of polymer conformations. This raises in particular the
question of the corresponding Flory formula for the end-to-end length of
those molecules. A generalized Flory formula has been proposed, and
ther...
Tracking variations of neuronal membrane potential in response to
multiple synaptic inputs remains an important open field of
investigation since information about neural network behavior and higher
brain functions can be inferred from such studies. Much experimental
work has been done, with recent advances in multi-electrode recordings
and imaging...
We model helical polypeptides in an aqueous environment by explicitly
evaluating winding probabilities of biopolymers. To account for
differences in reaction to the solvent of the various types of amino
acids forming the chainlike biopolymer, a length-dependent drift
coefficient A(s) is used. As an application, we express A(s) in terms of
a Bessel...
The probability density for the area A enclosed by a polymer loop in
crossed electric-magnetic fields is evaluated using the Hida-Streit
formulation. In this approach, the many possible conformations of the
polymer, x(v) and y(v), are represented by paths and are parametrized in
terms Brownian motion. When the magnetic field is switched off, result...
We present an extension of the Edwards model for conformations of individual
chain molecules in solvents in terms of fractional Brownian motion, and discuss
the excluded volume effect on the end-to-end length of such trajectories or
molecules.
Scientific culture in the Philippines is young and physics is no exception. There are only four physics PhD-granting universities with research laboratories. More than 10 universities offer a bachelor's degree or master's degree in Physics. Like the world trend, these physics institutions are male dominated. However, four of the leading universitie...
The probability for a polymer to wind n-times around an obstacle for a class of lineally dependent potentials were calculated using the differential approach introduced by F.W. Wiegel. The results agree with that obtained by C.C. Bernido and Ma.V. Carpio-Bernido using white noise analysis approach.
The propagator for a charged particle in a time-dependent electric field is calculated following Hida and Streit's framework [1] where the propagator is the T-transform of Feynman functional. However, we have to regard the potential V = -qE(tau)x≡mℏxi˙x following C. C. Bernido and M. V. Carpio-Bernido's [2] prescription of time-dependent...
The probability density that a polymer loop conformation encloses an area A is calculated using white noise functional approach. In this approach, the paths of the polymer conformation, x(nu) and y(nu), are parametrized in terms of Brownian motion. Evaluation of the path integral describing the system is then facilitated using the T-transform in wh...
White noise path integral prescription is applied to solve the Dirac equation for a two-dimensional Dirac oscillator in a uniform magnetic field. The energy spectrum obtained agrees with the result obtained by Villalba and Maggiolo [1] using the differential approach.
We apply the white noise functional approach in the evaluation of the Feynman propagator of a coupled harmonic oscillators of uniform frequency and mass. The evaluation is made first by decoupling the oscillators through a coordinate transformation. With the coordinate transformation, the propagator then becomes separable and reduces to a one-dimen...
This paper aims to evaluate the propagator of a pair of harmonic oscillators, of uniform frequency and mass, which are coupled through an arbitrary strength parameter using Gaussian white noise analysis.
The Hida-Streit method of evaluating the Feynman path integral is applied to relativistic quantum mechanical systems. A charged particle in a uniform magnetic field is taken as an example where the Green function for the Dirac particle is obtained.
The lineal structure of an entangled polymer of length L is simulated by a potential, V=f˙(s)ϑ, where, f˙=df/ds, 0⩽s⩽L, and f(s) a modulating function. Entanglement probabilities calculated for two cases, (a) f(s)=kcos(νs), and (b) f(s)=ksp, show a significant influence of chirality or “handedness”.
The Dirac equation (2+1)-dimensional spacetime for a particle interacting with a combined Aharonov-Bohm field and Coulomb potential is evaluated by the path integral method. To do this, a modified Biedenharn transformation is used to reduce the path integral to a form similar to the non-relativistic Coulomb problem.
The Dirac equation for a particle interacting with an Aharonov–Bohm field and a Coulomb potential is evaluated by the path integral method utilizing a modified Biedenharn transformation which reduces the path integral to a form similar to the non-relativistic Coulomb problem.
The use of white noise functional approach is utilized in this study to evaluate the quantum propa- gator, expressed as a Feynman path integral in cartesian coordinates, for a charged particle moving in 3-dimensional space which is subjected to a uniform magnetic field. In this approach, the paths, x(t), y(t) and z(t), of the particle are parametri...
Contained in this paper is our partial result in an attempt to solve the two-dimensional Dirac oscillator in a uniform magnetic field using the white noise path integral approach. The green function satisfying the iterated Dirac equation is presented and finding the effective Hamiltonian and Lagrangian of the system are also shown. Explicit evaluat...
