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There are problems with defining the thermodynamic limit of systems with long-range interactions; as a result, the thermodynamic behavior of these types of systems is anomalous. In the present work, we review some concepts from both…

Statistical Mechanics · Physics 2009-11-13 L. A. del Pino , P. Troncoso , S. Curilef

Motivated by a problem in heterogeneous catalysis, we study a model for irreversible first-order reactions in which gas transport occurs only by diffusion, and reaction occurs only at a small number of well-localized sites. The main problem…

Probability · Mathematics 2015-10-06 Renato Feres , Matt Wallace

The distribution function of the relative velocity in a two-body reaction of nonrelativistic uncorrelated particles is derived for general cases of given distribution functions of single particle velocities. The distribution function is…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-13 Motohiko Kusakabe , Toshitaka Kajino , Grant J. Mathews , Yudong Luo

We propose a novel mechanism to explain nuclear decay by emission of an alpha particle. We show that the famous Geiger-Nuttall law can be explained by post-forming an alpha particle outside the range of the nuclear interaction with the…

Nuclear Theory · Physics 2020-01-22 Junki Tanaka , Carlos Bertulani , Stefan Typel

A numerical experiment of ideal stochastic motion of a particle subject to conservative forces and Gaussian noise reveals that the path probability depends exponentially on action. This distribution implies a fundamental principle…

Statistical Mechanics · Physics 2020-10-16 Qiuping A. Wang , Aziz El Kaabouchi

We propose an efficient method to compute reaction rate constants of thermally activated processes occurring in many-body systems at finite temperature. The method consists in two steps: first, paths are sampled using a transition path…

Statistical Mechanics · Physics 2011-12-22 Massimiliano Picciani

Modern statistical thermodynamics retains the concepts employed by Landau of the order parameter and a functional depending on it, now called the Hamiltonian. The present paper investigates the limits of validity for the use of the…

Statistical Mechanics · Physics 2007-05-23 I. R. Peterson

The effects of MHD boundary layer flow of non-linear thermal radiation with convective heat transfer and non-uniform heat source/sink in presence of thermophortic velocity and chemical reaction investigated in this study. Suitable…

Fluid Dynamics · Physics 2017-02-08 Shalini Jain , Rakesh Choudhary

We develop a Boltzmann-type quantum transport theory for interacting fermion and scalar fields including both flavour and particle-antiparticle mixing. Our formalism is based on the coherent quasiparticle approximation (cQPA) for the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Christian Fidler , Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

A consistent model for the description of non-Maxwellian nuclear processes in the solar core triggered by fast reaction-produced particles is formulated. It essentially extends an approach to study suprathermal solar reactions discussed…

Solar and Stellar Astrophysics · Physics 2016-06-03 Victor T. Voronchev , Yasuyuki Nakao , Yukinobu Watanabe

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

Fluid Dynamics · Physics 2016-04-01 Dieter Bothe , Wolfgang Dreyer

We compare Path Integral Monte Carlo calculations by Militzer and Pollock (Phys. Rev. B 71, 134303, 2005) of Coulomb tunneling in nuclear reactions in dense matter to semiclassical calculations assuming WKB Coulomb barrier penetration…

Astrophysics · Physics 2008-11-26 A. I. Chugunov , H. E. DeWitt , D. G. Yakovlev

Reaction-diffusion equations are one of the most common partial differential equations used to model physical phenomenon. They arise as the combination of two physical processes: a driving force $f(u)$ that depends on the state variable $u$…

Numerical Analysis · Mathematics 2020-01-08 Barbara Kaltenbacher , William Rundell

It was shown that in the canonical ensemble the simple exactly soluble statistical model of nuclei decay into nucleons, which is a limiting case of the statistical multifragmentation model, predicts the nuclear first order phase transition…

Nuclear Theory · Physics 2012-06-29 A. S. Parvan

Background: Nuclear reactions are complex, with a large number of possible channels. Understanding how different channels contribute to a given reaction is investigated by perturbing the continuous spectrum. Purpose: To develop tools to…

Nuclear Theory · Physics 2024-06-28 Brady J. Martin , Wayne N. Polyzou

Understanding the radiogenic neutron production rate through the (${\alpha}$, n) reaction is crucial in many areas of physics, including dark matter searches, neutrino studies, and nuclear astrophysics. In addition to its relevance for…

The existence of the linear on the order parameter term of the thermodynamic functions expansion near the critical point is justified. The criticism of the arguments, used for the rejection of the odd-power expansion terms of the…

Condensed Matter · Physics 2007-05-23 V. A. Skrebnev

We present a method to obtain spectral functions at finite temperature from the Functional Renormalization Group. Our method is based on a thermodynamically consistent truncation of the flow equations for 2-point functions with analytically…

High Energy Physics - Lattice · Physics 2014-09-17 Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We present a semiclassical analysis of the quantum propagator of a particle confined on one side by a steeply, monotonically rising potential. The models studied in detail have potentials proportional to $x^{\alpha}$ for $x>0$; the limit…

Mathematical Physics · Physics 2013-06-05 F. D. Mera , S. A. Fulling , J. D. Bouas , K. Thapa

The effect of electrostatic microturbulence on fast particles rapidly decreases at high energy, but can be significant at moderate energy. Previous studies found that, in addition to changes in the energetic particle density, this results…

Plasma Physics · Physics 2018-12-26 George J. Wilkie
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