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We consider two qubits interacting with local and collective thermal reservoirs. Each spin-reservoir interaction consists of an energy exchange and an energy conserving channel. We prove a resonance representation of the reduced dynamics of…

数学物理 · 物理学 2015-05-30 Marco Merkli

We study the evolutionary dynamics of a phenotypically structured population in a changing environment , where the environmental conditions vary with a linear trend but in an oscillatory manner. Such phenomena can be described by parabolic…

偏微分方程分析 · 数学 2021-05-04 Susely Figueroa Iglesias , Sepideh Mirrahimi

Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

种群与进化 · 定量生物学 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

Using the SSWL database of syntactic parameters of world languages, and the MIT Media Lab data on language interactions, we construct a spin glass model of language evolution. We treat binary syntactic parameters as spin states, with…

计算与语言 · 计算机科学 2015-08-04 Karthik Siva , Jim Tao , Matilde Marcolli

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their vision of…

斑图形成与孤子 · 物理学 2023-07-07 Thomas Jun Jewell , Andrew L. Krause , Philip K. Maini , Eamonn A. Gaffney

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

种群与进化 · 定量生物学 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

Phenotype of biological systems needs to be robust against mutation in order to sustain themselves between generations. On the other hand, phenotype of an individual also needs to be robust against fluctuations of both internal and external…

种群与进化 · 定量生物学 2015-06-26 Kunihiko Kaneko

Frequency-dependent selection reflects the interaction between different species as they battle for limited resources in their environment. In a stochastic evolutionary game the species relative fitnesses guides the evolutionary dynamics…

概率论 · 数学 2020-12-29 Lea Popovic , Liam Peuckert

In the context of global warming, tree populations rely on two primary mechanisms of adaptation: phenotypic plasticity, which enables individuals to adjust their behavior in response to environmental stress, and genetic evolution, driven by…

种群与进化 · 定量生物学 2026-01-27 Sirine Boucenna , Vasilis Dakos , Gaël Raoul

Understanding the mechanisms of species coexistence has always been a fundamental topic in ecology. Classical theory predicts that interspecific competition may select for traits that stabilize niche differences, although recent work shows…

种群与进化 · 定量生物学 2023-05-16 José F. Fontanari , Margarida Matos , Mauro Santos

Populations of replicating entities frequently experience sudden or cyclical changes in environment. We explore the implications of this phenomenon via a environmental switching parameter in several common evolutionary dynamics models…

动力系统 · 数学 2013-06-12 Marc Harper , Dashiell Fryer , Andrew Vlasic

We investigate the evolutionary dynamics of an idealised model for the robust self-assembly of two-dimensional structures called polyominoes. The model includes rules that encode interactions between sets of square tiles that drive the…

种群与进化 · 定量生物学 2013-09-03 Iain G. Johnston , Sebastian A. Ahnert , Jonathan P. K. Doye , Ard A. Louis

We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the…

无序系统与神经网络 · 物理学 2020-02-06 Boris Kryzhanovsky , Magomed Malsagov , Iakov Karandashev

Within the framework of population genetics we consider the evolution of an asexual haploid population under the effect of a rapidly varying natural selection (microevolution). We focus on the case in which the environment exerting…

种群与进化 · 定量生物学 2015-06-22 Stefano Bo , Andrea Mazzolini , Antonio Celani

Non-uniform rates of morphological evolution and evolutionary increases in organismal complexity, captured in metaphors like "adaptive zones", "punctuated equilibrium" and "blunderbuss patterns", require more elaborate explanations than a…

种群与进化 · 定量生物学 2020-07-01 Iaroslav Ispolatov , Evgeniia Alekseeva , Michael Doebeli

Genotype-to-phenotype mappings translate genotypic variations such as mutations into phenotypic changes. Neutrality is the observation that some mutations do not lead to phenotypic changes. Studying the search trajectories in genotypic and…

种群与进化 · 定量生物学 2023-06-26 Ting Hu , Gabriela Ochoa , Wolfgang Banzhaf

Geographic ranges of communities of species evolve in response to environmental, ecological, and evolutionary forces. Understanding the effects of these forces on species' range dynamics is a major goal of spatial ecology. Previous…

种群与进化 · 定量生物学 2022-02-02 Farshad Shirani , Judith R. Miller

The unprecedented prowess of measurement techniques provides a detailed, multi-scale look into the depths of living systems. Understanding these avalanches of high-dimensional data -- by distilling underlying principles and mechanisms --…

其他定量生物学 · 定量生物学 2021-08-16 Jean-Pierre Eckmann , Tsvi Tlusty

We study a version of the Tangled Nature model of evolutionary ecology redefined in a phenotype space where mutants have properties correlated to their parents. The model has individual-based dynamics whilst incorporating species scale…

种群与进化 · 定量生物学 2016-09-08 Simon Laird , Henrik Jeldtoft Jensen

We consider the time evolution of entanglement in a finite two dimensional transverse Ising model. The model consists of a set of 7 localized spin-1/2 particles in a two dimensional triangular lattice coupled through nearest neighbor…

量子物理 · 物理学 2015-03-18 Qing Xu , Gehad Sadiek , Sabre Kais