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The stationary distribution of a continuous-time Markov chain generally arises from a complicated global balance of probability fluxes. Nevertheless, empirical evidence shows that the effective potential, defined as the negative logarithm…

Probability · Mathematics 2025-08-07 Jacob Calvert , Dana Randall

We introduce a new multi-objective optimization approach to determine uncertainty-quantified nuclear reaction parameters in the Hauser-Feshbach framework. By simultaneously accounting for all available data across multiple reaction channels…

We study the effects of quantum statistics on the counting statistics of ultracold heteronuclear molecules formed by Feshbach-assisted photoassociation [Phys. Rev. Lett. {\bf 93}, 140405 (2004)]. Exploiting the formal similarities with sum…

Other Condensed Matter · Physics 2007-05-23 A. Nunnenkamp , D. Meiser , P. Meystre

We present a new approach for calculating electromagnetic excitation of nuclei as well as probabilities of emission and distributions of neutrons from decays of excited nuclear systems for ultrarelativistic, ultraperipheral heavy ion…

Nuclear Theory · Physics 2015-06-17 Mariola Klusek-Gawenda , Michal Ciemala , Wolfgang Schafer , Antoni Szczurek

Effects of difference in the spin and parity distributions for the surrogate and neutron-induced reactions are investigated. Without assuming specific (schematic) spin-parity distributions, it was found that the surrogate ratio method can…

Nuclear Theory · Physics 2010-04-22 Satoshi Chiba , Osamu Iwamoto

Recent investigations of turbulent circulation fluctuations have uncovered substantial insights into the statistical organization of flow structures and revealed unexpected geometric features of turbulent intermittency. Of particular…

The $(n,\alpha)$ reaction contributes in many processes of energy generation and nucleosynthesis in stellar environment. Since experimental data are available for a limited number of nuclei and in restricted energy ranges, at present only…

Nuclear Theory · Physics 2021-12-20 Sema Küçüksucu , Mustafa Yiğit , Nils Paar

The violation of the Pauli principle has been surmised in several models of the Fractional Exclusion Statistics and successfully applied to several quantum systems. In this paper, a classical alternative of the exclusion statistics is…

Statistical Mechanics · Physics 2022-10-17 Projesh Kumar Roy

We calculate fission $\gamma$ rays for neutron-induced reactions on $^{239}$Pu with the Hauser-Feshbach fission fragment decay model. By applying the calculated fission $\gamma$ rays as a background contribution, the historical…

Nuclear Theory · Physics 2025-10-30 Toshihiko Kawano , Amy E. Lovell , Patrick Talou , Lee A. Bernstein

We study the trajectories followed by a particle subjected to weak noise when escaping from the domain of attraction of a stable fixed point. If detailed balance is absent, a _focus_ may occur along the most probable exit path, leading to a…

chao-dyn · Physics 2008-02-03 Robert S. Maier , Daniel L. Stein

We investigate the problem of predicting the output behavior of unknown quantum channels. Given query access to an $n$-qubit channel $E$ and an observable $O$, we aim to learn the mapping \begin{equation*} \rho \mapsto \mathrm{Tr}(O…

Quantum Physics · Physics 2024-09-06 Sitan Chen , Jaume de Dios Pont , Jun-Ting Hsieh , Hsin-Yuan Huang , Jane Lange , Jerry Li

Various model applications in nuclear structure and reactions have been formulated starting with the Feshbach projection formalism. In recent studies a truncated excluded space has been enumerated to facilitate calculation and identify a…

Nuclear Theory · Physics 2008-11-26 S. Karataglidis , K. Amos

A generalized method to calculate the excitation-energy dependent parity ratio in the nuclear level density is presented, using the assumption of Poisson distributed independent quasi particles combined with BCS occupation numbers. It is…

The Hauser-Feshbach statistical model is applied to the de-excitation of primary fission fragments using input mass yields calculated with macroscopic-microscopic models of the potential energy surface. We test the sensitivity of the prompt…

Nuclear Theory · Physics 2018-03-21 Patrick Jaffke , Peter Moller , Patrick Talou , Arnold J. Sierk

Methods used to infer nuclear parameters from neutron count statistics fall into two categories depending on whether they use moments or count number probabilities. As probabilities are in general more difficult to calculate, we are…

Nuclear Theory · Physics 2024-08-12 Philippe Humbert

It has been generally recognized that stochasticity can play an important role in the information processing accomplished by reaction networks in biological cells. Most treatments of that stochasticity employ Gaussian noise even though it…

Molecular Networks · Quantitative Biology 2015-05-30 Neda Bostani , David A. Kessler , Nadav M. Shnerb , Wouter-Jan Rappel , Herbert Levine

We investigate the longitudinal nuclear suppression factor defined by a scaled ratio of rapidity distributions. To study this experimental observable, we describe three approaches involving numerical and analytical calculations. We first…

Nuclear Theory · Physics 2025-12-08 Trambak Bhattacharyya , Maciej Rybczyński , Zbigniew Włodarczyk

This is an epistemological approach to errors in both inference and risk management, leading to necessary structural properties for the probability distribution. Many mechanisms have been used to show the emergence of fat tails. Here we…

Methodology · Statistics 2019-12-16 Nassim Nicholas Taleb , Pasquale Cirillo

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

Based on the theory of hierarchical structures, a correspondence has been established between the dynamics for the number of neutrons obtained from the theory of branching processes, the number of neutrons of the n-th generation, the number…

Statistical Mechanics · Physics 2024-03-05 V. V. Ryazanov