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In the context of reconstructing phylogenetic networks from a collection of phylogenetic trees, several characterisations and subsequently algorithms have been established to reconstruct a phylogenetic network that collectively embeds all…

Combinatorics · Mathematics 2023-08-21 Janosch Döcker , Simone Linz , Charles Semple

We consider a model of two (fully) compact polymer chains, coupled through an attractive interaction. These compact chains are represented by Hamiltonian paths (HP), and the coupling favors the existence of common bonds between the chains.…

Statistical Mechanics · Physics 2009-10-31 S. Franz , T. Garel , H. Orland

A light-matter hybrid quasiparticle, called a polariton, is formed when molecules are strongly coupled to an optical cavity. Recent experiments have shown that polariton chemistry can manipulate chemical reactions. Polariton chemistry is a…

Chemical Physics · Physics 2024-01-11 Xinyang Li , Nicholas Lubbers , Sergei Tretiak , Kipton Barros , Yu Zhang

We consider a mixture of two species of spin-1 atoms with both interspecies and intraspecies spin exchanges in a weak magnetic field. Under the usual single mode approximation, it can be reduced to a model of coupled giant spins. We find…

Quantum Gases · Physics 2015-06-03 Yu Shi , Li Ge

A fluctuation theorem is examined for the first-passage time of a biomolecular machine (e.g., a motor protein or an enzyme) in a nonequilibrium steady-state. For such machines in which the driven, observable process is coupled to a hidden…

Biological Physics · Physics 2025-09-15 D. Evan Piephoff , Jianshu Cao

We investigate high-harmonic generation in closed systems, using the two-level atom as a simplified model. By means of a windowed Fourier transform of the time-dependent dipole acceleration, we extract the main contributions to this process…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , I Rotter

Gene expression-based heterogeneity analysis has been extensively conducted. In recent studies, it has been shown that network-based analysis, which takes a system perspective and accommodates the interconnections among genes, can be more…

Methodology · Statistics 2023-08-09 Rong Li , Qingzhao Zhang , Shuangge Ma

Stem cell heterogeneity is essential for the homeostasis in tissue development. This paper established a general formulation for understanding the dynamics of stem cell regeneration with cell heterogeneity and random transitions of…

Populations and Evolution · Quantitative Biology 2024-07-12 Jinzhi Lei

The Building Block Hypothesis (BBH) states that adaptive systems combine good partial solutions (so-called building blocks) to find increasingly better solutions. It is thought that Genetic Algorithms (GAs) implement the BBH. However, for…

Neural and Evolutionary Computing · Computer Science 2017-05-15 Jack McKay Fletcher , Thomas Wennekers

The adiabatic passage scheme for quantum state synthesis, in which atomic Zeeman coherences are mapped to photon states in an optical cavity, is extended to the general case of two degenerate cavity modes with orthogonal polarization.…

Quantum Physics · Physics 2009-11-06 W. Lange , H. J. Kimble

Using the combination of a new effective Hamiltonian approach and hybrid Monte-Carlo simulations, we unveil a variety of partially magnetically ordered (PMO) phases in the Kondo lattice model. Our approximation is motivated by two crucial…

Strongly Correlated Electrons · Physics 2024-11-05 Soumyaranjan Dash , Sanjeev Kumar

This document presents a combinatorial framework for analyzing assembly systems using generating functions. We explore the theory through concrete examples, such as linear polymers, and develop recursive equations to characterize valid…

Combinatorics · Mathematics 2025-01-22 Andrés Ortiz-Muñoz

Coherent multiport interferometers are a promising approach to realize matrix multiplication in integrated photonics. However, most known architectures - such as MZI and beamsplitter meshes, as well as more general interferometers - suffer…

Optics · Physics 2025-08-01 Nikita A. Nemkov , Stanislav S. Straupe

The appearance of mathematical regularities in the disposition of leaves on a stem, scales on a pine-cone and spines on a cactus has puzzled scholars for millennia; similar so-called phyllotactic patterns are seen in self-organized growth,…

Soft Condensed Matter · Physics 2015-05-18 Cristiano Nisoli , Nathaniel M. Gabor , Paul E. Lammert , J. D. Maynard , Vincent H. Crespi

In this article we make several contributions of independent interest. First, we introduce the notion of stressed hyperplane of a matroid, essentially a type of cyclic flat that permits to transition from a given matroid into another with…

Combinatorics · Mathematics 2022-11-16 Luis Ferroni , George D. Nasr , Lorenzo Vecchi

Modern maize breeding relies upon selection in inbreeding populations to improve the performance of cross-population hybrids. The United States Department of Agriculture - Agricultural Research Service reciprocal recurrent selection…

Populations and Evolution · Quantitative Biology 2015-06-29 Justin P. Gerke , Jode W. Edwards , Katherine E. Guill , Jeffrey Ross-Ibarra , Michael D. McMullen

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear

This article focuses on the development of the method for the genetic classification of agamospermous reproduction types in plants using sugar beet as an example. The classification feasibility is ensured by the use of isozymes as genetic…

Genomics · Quantitative Biology 2014-01-03 Svetlana Sergeevna Kirikovich , Evgenii Vladimirovich Levites

Identifying the physical basis of heterosis (or hybrid vigor) has remained elusive despite over a hundred years of research on the subject. The three main theories of heterosis are dominance theory, overdominance theory, and epistasis…

Populations and Evolution · Quantitative Biology 2019-07-17 Brian R. Ginn

In the area of topological and geometric treatment of phase transitions and symmetry breaking in Hamiltonian systems, in a recent paper some general sufficient conditions for these phenomena in $\mathbb{Z}_2$-symmetric systems (i.e.…

Statistical Mechanics · Physics 2016-11-07 Fabrizio Baroni