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Finite-size scaling is a key tool in statistical physics, used to infer critical behavior in finite systems. Here we use the analogous concept of finite-time scaling to describe the bifurcation diagram at finite times in discrete dynamical…

Adaptation and Self-Organizing Systems · Physics 2018-04-12 Alvaro Corral , Lluis Alseda , Josep Sardanyes

Finite volume corrections to higher moments are important observable quantities. They make possible to differentiate between different statistical ensembles even in the thermodynamic limit. It is shown that this property is a universal one.…

High Energy Physics - Theory · Physics 2010-11-11 Ludwik Turko

We study the effect of finite temperatures and Fermion density on the effective pseudo-scalar-photon vertex induced by the triangle diagram. The manifestly covariant calculations show that when the pseudo-scalar mass is much less than the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sourendu Gupta , S. N. Nayak

The dynamical properties of the finite-size magnetization M in the critical region T<T_{KTB} of the planar rotor model on a L x L square lattice are analyzed by means of microcanonical simulations . The behavior of the q=0 structure factor…

Statistical Mechanics · Physics 2009-11-07 S. Lepri , S. Ruffo

We study the large deviation function for the empirical measure of diffusing particles at one fixed position. We find that the large deviation function exhibits anomalous system size dependence in systems that satisfy the following…

Statistical Mechanics · Physics 2015-01-20 Naoto Shiraishi

Effective field theory is applied to finite-density systems with an unnaturally large scattering length, such as neutron matter. A new organizational scheme is identified and connected with an expansion in inverse powers of the number of…

Nuclear Theory · Physics 2007-05-23 James V. Steele

In this work we study the temperature dependence of the equilibrium variance of critical fluctuations near the QCD critical point. In particular, we take the finite size of the fireball created in heavy-ion collisions into account and…

Nuclear Theory · Physics 2019-06-07 Moussa Agah Nouhou , Marcus Bluhm , Anna Borer , Marlene Nahrgang , Taklit Sami , Nathan Touroux

In this note we demonstrate that a quantum-like interference picture could appear as a statistical effect of interference of deterministic particles, i.e. particles that have trajectories and obey deterministic equations, if one introduces…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov , Yaroslav Volovich

We consider an electron in a localized potential submitted to a weak external, timedependent field. In the linear response regime, the response function can be computed using Kubo's formula. In this paper, we consider the numerical…

Analysis of PDEs · Mathematics 2021-02-22 Mi-Song Dupuy , Antoine Levitt

A simple model is considered to study the effects of finite size and internal structure in the tunneling of bound two-body systems through a potential barrier. It is demonstrated that these effects are able to increase the tunneling…

Nuclear Theory · Physics 2009-08-18 V. V. Flambaum , V. G. Zelevinsky

We investigate the impact of finite volume and the corresponding restrictions on long-range correlations on the location of the critical endpoint in the QCD phase diagram. To this end, we employ a sophisticated combination of lattice…

High Energy Physics - Phenomenology · Physics 2021-11-01 Julian Bernhardt , Christian S. Fischer , Philipp Isserstedt , Bernd-Jochen Schaefer

The lifetime of a stored beam due to the Touschek effect is calculated for arbitrary ratios of beam height to beam width. A variation of the beam envelopes is taken into account, i.e. the derivatives of the horizontal and vertical amplitude…

Accelerator Physics · Physics 2007-05-23 A. Piwinski

We study in this paper the finite-size effects of a non-periodic lattice on a lattice calculation. To this end we use a finite lattice equipped with a central difference derivative with homogeneous boundary conditions to calculate the…

High Energy Physics - Lattice · Physics 2008-11-26 Rafael G. Campos , Eduardo S. Tututi

We introduce an effective field theory approach that describes the motion of finite size objects under the influence of electromagnetic fields. We prove that leading order effects due to the finite radius $R$ of a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Chad R. Galley , Adam K. Leibovich , Ira Z. Rothstein

The influence of the multi-boson effects on pion multiplicities, single-pion spectra and two-pion correlation functions is discussed in terms of an analytically solvable model. It is argued that spectacular multi-boson effects are likely to…

Nuclear Theory · Physics 2007-05-23 R. Lednicky

We evaluate the pion mass in finite volume to two loops within Chiral Perturbation Theory. The results are compared with a recently proposed extension of the asymptotic formula of Luscher. We find that contributions, which were neglected in…

High Energy Physics - Lattice · Physics 2009-11-11 Gilberto Colangelo , Christoph Haefeli

We investigate the neutron's response to magnetic fields on a torus with the aid of chiral perturbation theory, and expose effects from non-vanishing holonomies. The determination of such effects necessitates non-perturbative treatment of…

High Energy Physics - Lattice · Physics 2014-04-23 Brian C. Tiburzi

We define a scale-dependent effective mass anomalous dimension from the scaling of the mode number of the massless Dirac operator, which connects the perturbative $\gamma_m$ of an asymptotically-free system to the universal…

High Energy Physics - Lattice · Physics 2022-09-21 Anqi Cheng , Anna Hasenfratz , Gregory Petropoulos , David Schaich

Quantum resonances, i.e., metastable states with a finite lifetime, play an important role in nuclear physics and other domains. Describing this phenomenon theoretically is generally a challenging task. In this work, we combine two…

Nuclear Theory · Physics 2024-05-17 Hang Yu , Nuwan Yapa , Sebastian König

It is observed that the finite size of hadrons produced in high energy collisions implies that their positions are correlated, since the probability of finding two hadrons on top of each other is highly reduced. It is then shown that this…

High Energy Physics - Phenomenology · Physics 2015-06-17 A. Bialas , K. Zalewski
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