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A position-dependent stochastic diffusion model of gating in ion channels is developed by considering the spatial variation of the diffusion coefficient between the closed and open states. It is assumed that a sensor which regulates the…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Samuel Robert Vaccaro

A Gamma-distribution based potential energy landscape (PEL) theory has recently been proposed for supercooled liquids and glasses. This new PEL theory introduces a singularity term in the equation of state (EoS) suitable for representing…

Soft Condensed Matter · Physics 2026-02-11 Hongqin Liu

We calculate numerically the density of states n(S) for SU(2) lattice gauge theory on $L^4$ lattices. Small volume dependence are resolved for small values of S. We compare $ln(n(S))$ with weak and strong coupling expansions. Intermediate…

High Energy Physics - Lattice · Physics 2009-01-09 A. Denbleyker , Daping Du , Yuzhi Liu , Y. Meurice , A. Velytsky

The phase structure function accumulated by two parallel rays after transmission through a layer of turbulent air is best known by a proportionality to the 5/3rd power of the lateral distance in the aperture, derived from an isotropic…

Instrumentation and Methods for Astrophysics · Physics 2011-03-01 Richard J. Mathar

Electrostatic shielding is an important consideration for large area field emitters (LAFE) and results in a distribution of field enhancement factors even when the constituent emitters are identical. Ideally, the mean and variance together…

Applied Physics · Physics 2021-12-10 Rashbihari Rudra , Debabrata Biswas

We consider a fiber bundle model with a equal load sharing and uniformly distributed breakdown thresholds. A unified probability-theoretic approach was used to describe bundle under continuous and discrete load increase. It was shown that…

Disordered Systems and Neural Networks · Physics 2012-02-14 I. V. Bezsudnov , A. A. Snarskii

Spreading according to simple rules (e.g. of fire or diseases), and shortest-path distances are studied on d-dimensional systems with a small density p per site of long-range connections (``Small-World'' lattices). The volume V(t) covered…

Disordered Systems and Neural Networks · Physics 2009-10-31 Cristian F. Moukarzel

We give an exact analytical results for diffusion with a power-law position dependent diffusion coefficient along the main channel (backbone) on a comb and grid comb structures. For the mean square displacement along the backbone of the…

Statistical Mechanics · Physics 2018-10-17 Trifce Sandev , Alexander Schulz , Holger Kantz , Alexander Iomin

Recent experiments on the propagation of light over a distance L through a random packing of spheres with a power law distribution of radii (a socalled L\'evy glass) have found that the transmission probability T \propto 1/L^{\gamma} scales…

Disordered Systems and Neural Networks · Physics 2015-03-19 C. W. Groth , A. R. Akhmerov , C. W. J. Beenakker

We study a penetration of an electron with high energy E<<T through strongly disordered wire of length L<<a (a being the localization length). Such an electron can loose, but not gain the energy, when hopping from one localized state to…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 A. S. Ioselevich , D. I. Pikulin

Domain walls for spin glasses are believed to be scale invariant invariant; a stronger symmetry, conformal invariance, has the potential to hold. The statistics of zero-temperature Ising spin glass domain walls in two dimensions are used to…

Disordered Systems and Neural Networks · Physics 2007-07-16 Denis Bernard , Pierre Le Doussal , A. Alan Middleton

With the use of {\em ab initio} based molecular dynamics simulations we study the structural, dynamical and electronic properties of glassy g-GeS$_2$ at room temperature. From the radial distribution function we find nearest neighbor…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sebastien Blaineau , Philippe Jund , David A. Drabold

We present a linearized shear-transformation-zone (STZ) theory of glassy dynamics in which the internal STZ transition rates are characterized by a broad distribution of activation barriers. For slowly aging or fully aged systems, the main…

Materials Science · Physics 2015-03-17 Eran Bouchbinder , J. S. Langer

A generalization of Brillouin-Wigner perturbation theory is applied numerically to the Wigner Band Random Matrix model. The perturbation theory tells that a perturbed energy eigenstate can be divided into a perturbative part and a…

Condensed Matter · Physics 2007-05-23 Wen-ge Wang

The generic Berry phase scenario in which a two-level system is coupled to a second system whose dynamical coordinate is slowly-varying is generalized to allow for stochastic evolution of the slow system. The stochastic behavior is produced…

Quantum Physics · Physics 2009-10-31 Frank Gaitan

We establish a scattering-state theory for open one-dimensional Floquet lattices based on a frequency-domain transfer-matrix formulation. For real quasienergy, the conjugate-symplectic structure of the transfer matrix separates bulk…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Ren Zhang , Xiao-Yu Ouyang , Xu-Dong Dai , Xi Dai

Recently, a novel equation of state (EoS) parameter for dark energy has been introduced which deals with a special mathematical function, known as the Lambert$W$ function. In this paper, we study the effect on the growth of perturbations…

General Relativity and Quantum Cosmology · Physics 2021-06-11 Manisha Banerjee , Sudipta Das , Abdulla Al Mamon , Subhajit Saha , Kazuharu Bamba

The pattern of branched electron flow revealed by scanning gate microscopy shows the distribution of ballistic electron trajectories. The details of the pattern are determined by the correlated potential of remote dopants with an amplitude…

Mesoscale and Nanoscale Physics · Physics 2018-07-12 B A Braem , C Gold , S Hennel , M Röösli , M Berl , W Dietsche , W Wegscheider , K. Ensslin , T Ihn

The object of study is a soft random geometric graph with vertices given by a Poisson point process on a line and edges between vertices present with probability that has a polynomial decay in the distance between them. Various aspects of…

Probability · Mathematics 2023-11-21 Arnaud Rousselle , Ercan Sönmez

The transversal and longitudinal resistance in the quantum Hall effect regime was measured in a Si MOSFET sample in which a slot-gate allows one to vary the electron density and filling factor in different parts of the sample. In case of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Shlimak , v. Ginodman , A. Butenko , K. -J. Friedland , S. V. Kravchenko
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