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Longitudinal scaling of pseudorapidity distribution of charged particles ($dN_{\mathrm {ch}}/d\eta$) is observed when presented as a function of pseudorapidity ($\eta$) shifted by the beam rapidity ($\eta$ - $y_{\mathrm {beam}}$) for a wide…

A model based on the sudden approximation has been developed to describe high energy single nucleon removal reactions. Within this approach, which takes as its starting point the formalism of Hansen \cite{Anne2}, the nucleon-removal cross…

核实验 · 物理学 2009-11-10 F. Carstoiu , E. Sauvan , N. A. Orr , A. Bonaccorso

Using granular experiments and computer simulations, we investigate the long-time diffusion of active tracers in a broad class of complex media composed of frozen obstacles of diverse structures. By introducing a dimensionless persistence…

软凝聚态物质 · 物理学 2025-05-06 Qun Zhang , Yuxin Tian , Xue Zhang , Xiaoting Yu , Hongwei Zhu , Ning Zheng , Luhui Ning , Ran Ni , Mingcheng Yang , Peng Liu

The behavior of the single-species reaction process $A+A\to O$ is examined near an impenetrable boundary, representing the flask containing the reactants. Two types of dynamics are considered for the reactants: diffusive and ballistic…

统计力学 · 物理学 2009-10-31 Y. Kafri , M. J. E. Richardson

Many-body localization in a disordered system of interacting spins coupled by the long-range interaction $1/R^{\alpha}$ is investigated combining analytical theory considering resonant interactions and a finite size scaling of exact…

无序系统与神经网络 · 物理学 2015-03-03 Alexander L. Burin

We perform a study of the universality of the finite size scaling functions of interface free energies in the 3d Ising model. Close to the hot/cold phase transition, we observe very good agreement with the same scaling functions of the 4d…

高能物理 - 格点 · 物理学 2015-06-25 M. Pepe , Ph. de Forcrand

In reaction-diffusion models of annihilation reactions in low dimensions, single-particle dynamics provides a bottleneck for reactions, leading to an anomalously slow approach to the empty state. Here, we construct a reaction model with a…

统计力学 · 物理学 2024-09-26 Enrique Rozas Garcia , Alfred Weddig Karlsson , Johannes Hofmann

The long-time behavior of a reaction-diffusion front between one static (e.g. porous solid) reactant A and one initially separated diffusing reactant B is analyzed for the mean-field reaction-rate density R(\rho_A,\rho_B) =…

化学物理 · 物理学 2009-10-31 Martin Z. Bazant , Howard A. Stone

We analyze the quantum phase transition for a set of $N$-two level systems interacting with a bosonic mode in the adiabatic regime. Through the Born-Oppenheimer approximation, we obtain the finite-size scaling expansion for many physical…

量子物理 · 物理学 2007-05-23 G. Liberti , F. Plastina , F. Piperno

We employ a simple multiple scattering model to investigate the inclusive reaction p + A --> p + X for projectile momenta in the 100-200 GeV/c range. We find that data are consistent with a class of interaction models in which the stopping…

天体物理学 · 物理学 2011-05-12 G. M. Frichter , T. K. Gaisser , T. Stanev

We analyze the annihilation of equally-charged particles based on the Brownian motion model built by F. Dyson for $N$ particles with charge $q$ interacting via the log-Coulomb potential on the unitary circle at a reduced inverse temperature…

统计力学 · 物理学 2020-01-15 Cristhian Gonzalez-Ortiz , Gabriel Tellez

The kinetic spherical model with long-ranged interactions and an arbitrary initial order m_{0} quenched from a very high temperature to T < T_{c} is solved. In the short-time regime, the bulk order increases with a power law in both the…

软凝聚态物质 · 物理学 2009-10-31 Yuan Chen , Shuohong Guo , Zhibing Li , Aijun Ye

The finite size behavior of the susceptibility, Binder cumulant and some even moments of the magnetization of a fully finite O(n) cubic system of size L are analyzed and the corresponding scaling functions are derived within a…

统计力学 · 物理学 2009-11-07 H. Chamati , D. M. Dantchev

We study kinetics of diffusion-limited catalytically-activated $A + B \to B$ reactions taking place in three dimensional systems, in which an annihilation of diffusive $A$ particles by diffusive traps $B$ may happen only if the encounter of…

统计力学 · 物理学 2009-11-11 O. Bénichou , M. Coppey , M. Moerau , G. Oshanin

We study irreversible A-B reaction kinetics at a fixed interface separating two immiscible bulk phases, A and B. We consider general dynamical exponent $z$, where $x_t\sim t^{1/z}$ is the rms diffusion distance after time $t$. At short…

软凝聚态物质 · 物理学 2007-05-23 Ben O'Shaughnessy , Dimitrios Vavylonis

Using event-driven molecular dynamics we study one- and two-dimensional ballistic annihilation. We estimate exponents $\xi$ and $\gamma$ that describe the long-time decay of the number of particles ($n(t)\sim t^{-\xi}$) and of their typical…

统计力学 · 物理学 2009-11-11 Adam Lipowski , Dorota Lipowska , Antonio L. Ferreira

Based on quasi-stationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as,…

统计力学 · 物理学 2015-12-23 M. M. de Oliveira , M. G. E. da Luz , C. E. Fiore

We present results on tagged particle diffusion in a meso-scale lattice model for sheared amorphous material in athermal quasi-static conditions. We find a short time diffusive regime and a long time diffusive regime whose diffusion…

软凝聚态物质 · 物理学 2018-10-10 Botond Tyukodi , Craig E Maloney , Damien Vandembroucq

We present a combined experimental and theoretical study of the mutual neutralization process in collisions of lithium ions (Li+) with deuterium anions (D-) at collision energies below 1 eV. We employ a merged-beam apparatus to determine…

Models of reaction diffusion processes usually employ discrete lattice models with particles interacting at the same site, resulting in localized reactions in the continuum limit. Here, various non-local interactions are considered, and two…

数学物理 · 物理学 2026-03-30 Chris D Greenman