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We analytically investigate a 1d branching-coalescing model with reflecting boundaries in a canonical ensemble where the total number of particles on the chain is conserved. Exact analytical calculations show that the model has two…

Statistical Mechanics · Physics 2009-11-10 F. H. Jafarpour , S. R. Masharian

Pair production in a constant electric field is closely analogous to bubble nucleation in a false vacuum. The classical trajectories of the pairs are Lorentz invariant, but it appears that this invariance should be broken by the nucleation…

High Energy Physics - Theory · Physics 2013-04-25 Jaume Garriga , Sugumi Kanno , Misao Sasaki , Jiro Soda , Alexander Vilenkin

A broad class of blocked or jammed configurations of particles on the one-dimensional lattice can be characterized in terms of local rules involving only the lengths of clusters of particles (occupied sites) and of holes (empty sites).…

Statistical Mechanics · Physics 2024-05-22 Jean-Marc Luck

The role of saturation for cluster formation in finite systems such as atomic nuclei is analyzed by considering three length-scale ratios, and performing deformation-constrained self-consistent mean-field calculations. The effect of…

Nuclear Theory · Physics 2015-06-18 Jean-Paul Ebran , Elias Khan , Tamara Niksic , Dario Vretenar

We analyse the stochastic comparison of interacting particle systems allowing for multiple arrivals, departures and non-conservative jumps of individuals between sites. That is, if $k$ individuals leave site $x$ for site $y$, a possibly…

Probability · Mathematics 2025-04-07 Raúl Gouet , F. Javier López , Gerardo Sanz

Cluster dynamics and single-particle correlation are simultaneously treated for the description of the ground state of ${}^{12} \mathrm{C} $. The recent development of the antisymmetrized quasi cluster model (AQCM) makes it possible to…

Nuclear Theory · Physics 2021-04-06 Naoyuki Itagaki , Tomoya Naito

If two separated observers are supplied with entanglement, in the form of $n$ pairs of particles in identical partly-entangled pure states, one member of each pair being given to each observer; they can, by local actions of each observer,…

Quantum Physics · Physics 2008-11-26 Charles H. Bennett , Herbert J. Bernstein , Sandu Popescu , Benjamin Schumacher

We study equilibrium configurations of infinitely many identical particles on the real line or finitely many particles on the circle, such that the (repelling) force they exert on each other depends only on their distance. The main question…

Classical Analysis and ODEs · Mathematics 2016-04-11 Agelos Georgakopoulos , Mihail N. Kolountzakis

A regular coherent state (CS) is a special type of quantum state for boson particles placed in a single site. The defining feature of the CS is that it is an eigenmode of the annihilation operator. The construction easily generalizes to the…

Quantum Physics · Physics 2024-12-10 A. Sowa , J. Fransson

A common approach to study nucleation rates is the estimation of free-energy barriers. This usually requires knowledge about the shape of the forming droplet, a task that becomes notoriously difficult in macromolecular setups starting with…

Statistical Mechanics · Physics 2017-03-28 Johannes Zierenberg , Philipp Schierz , Wolfhard Janke

We study aggregation-fragmentation processes in which pairs of clusters can aggregate, and each cluster can break into two fragments. If the rates of aggregation and fragmentation do not depend on the masses, detailed balance does not hold,…

Statistical Mechanics · Physics 2026-05-22 P. L. Krapivsky

We simulate open clusters containing up to 182 stars initially in the form of singles, binaries and triples. Due to the high interaction rate a large number of stable quadruples, quintuples, sextuples, and higher-order hierarchies form…

Astrophysics · Physics 2008-11-26 Jelle van den Berk , Simon Portegies Zwart , Steve McMillan

We consider a one-dimensional system of particles, moving at constant velocities chosen independently according to a symmetric distribution on $\{-1,0,+1\}$, and annihilating upon collision -- with, in case of triple collision, a uniformly…

Probability · Mathematics 2022-01-05 John Haslegrave , Laurent Tournier

We study the dynamics of the entanglement structure of a multipartite system experiencing a dissipative evolution. We characterize the processes leading to a particular form of output system entanglement and provide a recipe for their…

Quantum Physics · Physics 2013-12-30 Sergey N. Filippov , Alexey A. Melnikov , Mario Ziman

Understanding the substructure of atomic nuclei, particularly the clustering of nucleons inside them, is essential for comprehending nuclear dynamics. Various cluster configurations can emerge depending on excitation energy, the number and…

We solve an one-dimensional stochastic model of interacting particles on a chain. Particles can have branching and coagulation reactions, they can also appear on an empty site and disappear spontaneously. This model which can be viewed as…

Statistical Mechanics · Physics 2009-11-07 Mauro Mobilia , Pierre-Antoine Bares

Clustering, or grouping, dataset elements based on similarity can be used not only to classify a dataset into a few categories, but also to approximate it by a relatively large number of representative elements. In the latter scenario,…

Machine Learning · Computer Science 2019-09-13 Tim Jaschek , Marko Bucyk , Jaspreet S. Oberoi

A general and an arbitrarily efficient scheme for entangling the spins (or any spin-like degree of freedom) of two independent uncorrelated identical particles by a combination of two particle interferometry and which way detection is…

Quantum Physics · Physics 2009-11-07 S. Bose , D. Home

We study gelation in suspensions of model colloidal particles with short-ranged attractive and long-ranged repulsive interactions by means of three-dimensional fluorescence confocal microscopy. At low packing fractions, particles form…

Soft Condensed Matter · Physics 2009-11-10 Andrew I. Campbell , Valerie J. Anderson , Jeroen S. van Duijneveldt , Paul Bartlett

We present an approach to characterize genuine multiparticle entanglement using appropriate approximations in the space of quantum states. This leads to a criterion for entanglement which can easily be calculated using semidefinite…

Quantum Physics · Physics 2011-05-13 Bastian Jungnitsch , Tobias Moroder , Otfried Gühne