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Stochastic fluctuations of the neutron population within a nuclear reactor are typically prevented by operating the core at a sufficient power, since a deterministic behavior of the neutron population is required by automatic safety systems…

Recent advances obtained in the field of near and sub-barrier heavy-ion fusion reactions are reviewed. Emphasis is given to the results obtained in the last decade, and focus will be mainly on the experimental work performed concerning the…

Nuclear Experiment · Physics 2017-09-13 Giovanna Montagnoli , Alberto M. Stefanini

Excitations of colliding nuclei during a nuclear reaction considerably affect fusion cross sections at energies around the Coulomb barrier. It has been demonstrated that such channel coupling effects can be represented in terms of a…

Nuclear Theory · Physics 2016-07-20 K. Hagino

Relaxation dynamics of complex quantum systems with strong interactions towards the steady state is a fundamental problem in statistical mechanics. The steady state of subsystems weakly interacting with their environment is described by the…

Statistical Mechanics · Physics 2016-06-22 Alexey M. Shakirov , Yulia E. Shchadilova , Alexey N. Rubtsov

We introduce a reaction-path statistical mechanics formalism based on the principle of large deviations to quantify the kinetics of single-molecule enzymatic reaction processes under the Michaelis-Menten mechanism, which exemplifies an…

Statistical Mechanics · Physics 2022-04-11 Hyuntae Lim , YounJoon Jung

Starting with the many-body Schr\"odinger equation we derive new rate equations for resonant transport in quantum dots linked by ballistic channels with high density of states. The charging and the Pauli exclusion principle effects were…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. A. Gurvitz

Possible modification in the velocity distribution in the non-resonant reaction rates leads to an extended reaction rate probability integral. The closed form representation for these thermonuclear functions are used to obtain the stellar…

Solar and Stellar Astrophysics · Physics 2014-09-09 H. J. Haubold , D. Kumar

We consider the quantum creation of a closed universe within the Euclidean path-integral formalism. An analytical expression for the tunneling probability is derived, including both the exponential suppression and the exact Gaussian…

General Relativity and Quantum Cosmology · Physics 2026-05-18 L. Salasnich

The radiation (reaction, Robin) boundary condition for the continuum diffusion equation is widely used in chemical and biological applications to express reactive boundaries. The underlying trajectories of the diffusing particles are…

Mathematical Physics · Physics 2007-09-02 A. Singer , Z. Schuss , D. Holcman

We consider a stochastic version of an excitable system based on the Morris-Lecar model of a neuron, in which the noise originates from stochastic Sodium and Potassium ion channels opening and closing. One can analyze neural excitability in…

Neurons and Cognition · Quantitative Biology 2015-06-15 Jay M. Newby , Paul C. Bressloff , James P. Keener

The recent availability of precisely measured fusion cross-sections has enabled the extraction of a representation of the distribution of barriers encountered during fusion. These representations, obtained from a variety of reactions,…

Nuclear Experiment · Physics 2009-10-30 M. Dasgupta , D. J. Hinde , J. R. Leigh , K. Hagino

Information on dissipation in the entrance channel of heavy-ion collisions is extracted by macroscopic reduction procedure of Time-Dependent Hartree-Fock theory. The method gives access to a fully microscopic description of the friction…

Nuclear Theory · Physics 2009-03-04 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

The study of d+d reactions is of major interest since their reaction rates affect the predicted abundances of D, 3He, and 7Li. In particular, recent measurements of primordial D/H ratios call for reduced uncertainties in the theoretical…

Instrumentation and Methods for Astrophysics · Physics 2017-11-15 Á. Gómez Iñesta , C. Iliadis , A. Coc

In this paper we present a quantum stochastic model for spectroscopic line-shapes in the presence of a co-evolving and non-stationary background population of excitations. Starting from a field theory description for interacting bosonic…

Chemical Physics · Physics 2020-10-27 Hao Li , Ajay Ram Srimath Kandada , Carlos Silva , Eric R. Bittner

The understanding of the fusion probability is of particular importance to reveal the mechanism of producing superheavy elements. We present a microscopic study of the compound nucleus formation by combining time-dependent density…

Nuclear Theory · Physics 2022-07-27 Xiang-Xiang Sun , Lu Guo

We establish a connection between exclusion statistics with arbitrary integer exclusion parameter $g$ and a class of random walks on planar lattices. This connection maps the generating function for the number of closed walks of given…

Statistical Mechanics · Physics 2020-03-06 Stephane Ouvry , Alexios P. Polychronakos

The double neutron/proton ratio of nucleon emissions taken from two reaction systems using four isotopes of the same element, namely, the neutron/proton ratio in the neutron-rich system over that in the more symmetric system, has the…

Nuclear Theory · Physics 2009-11-11 Bao-An Li , Lie-Wen Chen , Gao-Chan Yong , Wei Zuo

Generalizations of Onsager reciprocity relations are established for the nonlinear response coefficients of ballistic transport in the effusion of gaseous mixtures. These generalizations, which have been established on the basis of the…

Statistical Mechanics · Physics 2011-03-29 Pierre Gaspard , David Andrieux

Martingale concentration inequalities constitute a powerful mathematical tool in the analysis of problems in a wide variety of fields ranging from probability and statistics to information theory and machine learning. Here we apply…

Quantum Physics · Physics 2017-03-07 Cambyse Rouze , Nilanjana Datta

We study the best exponential decay in the blocklength of the probability of error that can be achieved in the transmission of a single bit over the Gaussian channel with an active noisy Gaussian feedback link. We impose an \emph{expected}…

Information Theory · Computer Science 2009-09-24 Young-Han Kim , Amos Lapidoth , Tsachy Weissman
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