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Using recently proposed measures for non-Markovianity [H. P. Breuer, E. M. Laine, and J. Piilo, Phys. Rev. Lett. {\bf 103}, 210401 (2009)], we study the dynamics of a qubit coupled to a spin environment via an energy-exchange mechanism. We…

Quantum Physics · Physics 2015-05-20 T. J. G. Apollaro , C. Di Franco , F. Plastina , M. Paternostro

We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e. the open dynamics is modelled through sequences of unitary interactions between the system and the individual…

Quantum Physics · Physics 2018-07-31 Steve Campbell , Francesco Ciccarello , G. Massimo Palma , Bassano Vacchini

The grid firing patterns are thought to provide an efficient intrinsic metric capable of supporting universal spatial metric for mammalian spatial navigation in all environments. However, whether spatial representations of grid cells in the…

Neurons and Cognition · Quantitative Biology 2019-10-14 Taiping Zeng , XiaoLi Li , Bailu Si

While it is very common to model diffusion as a random walk by assuming memorylessness of the trajectory and diffusive step lengths, these assumptions can lead to significant errors. This paper describes the extent to which a physical…

Statistical Mechanics · Physics 2025-08-07 Ludovico Cademartiri

Interactions in nature can be described by their coupling strength, direction of coupling and coupling function. The coupling strength and directionality are relatively well understood and studied, at least for two interacting systems,…

Adaptation and Self-Organizing Systems · Physics 2017-02-09 Tomislav Stankovski

Leadership and followership are essential parts of collective decision and organization in social animals, including humans. In nature, relationships of leaders and followers are dynamic and vary with context or temporal factors.…

Social and Information Networks · Computer Science 2020-11-20 Chainarong Amornbunchornvej , Tanya Y. Berger-Wolf

The problem of intermediates in the fossil record has been frequently discussed ever since Darwin. The extent of `gaps' (missing transitional stages) has been used to argue against gradual evolution from a common ancestor. Traditionally,…

Populations and Evolution · Quantitative Biology 2008-08-27 Mareike Fischer , Mike Steel

Quantifying animal interactions is crucial for understanding various ecological processes, including social community structures, predator-prey dynamics, spreading of pathogens and information. Despite the ubiquity of interaction processes…

Statistical Mechanics · Physics 2023-10-06 Debraj Das , V. M. Kenkre , Ran Nathan , Luca Giuggioli

Expansion of the neocortex is a hallmark of human evolution. However, it remains an open question what adaptive mechanisms facilitated its expansion. Here we show, using gyrencephaly index (GI) and other physiological and life-history data…

Populations and Evolution · Quantitative Biology 2015-08-26 Eric Lewitus , Iva Kelava , Alex T. Kalinka , Pavel Tomancak , Wieland B Huttner

The sequential response of frustrated materials - ranging from crumpled sheets and amorphous media to metamaterials - reveals their memory effects and emergent computational potential. Despite their spatial extension, most studies rely on a…

Soft Condensed Matter · Physics 2025-03-12 Colin M. Meulblok , Amitesh Singh , Matthieu Labousse , Martin van Hecke

We view random walks as the paths of foraging animals, perhaps searching for food or avoiding predators while forming a mental map of their surroundings. The formation of such maps requires them to memorise the locations they have visited.…

Probability · Mathematics 2018-08-24 Michal Gnacik , Abdulrahman Alsolami , James Burridge

We study an information engine operating in an active bath, where a Brownian particle confined in a harmonic trap undergoes feedback-driven displacement cycles. Unlike thermal environments, active baths exhibit temporally correlated…

Statistical Mechanics · Physics 2025-11-27 Sehoon Bahng , Jae Sung Lee , Cheol-Min Ghim

Random walks on lattices with preferential relocation to previously visited sites provide a simple framework for modeling the displacements of animals and humans. When the lattice contains a few impurities or resource sites where the walker…

Statistical Mechanics · Physics 2025-11-05 Paulina R. Martín-Cornejo , Denis Boyer

1. Animal movement patterns contribute to our understanding of variation in breeding success and survival of individuals, and the implications for population dynamics. 2. Over time, sensor technology for measuring movement patterns has…

Quantitative Methods · Quantitative Biology 2018-01-11 Leah R. Johnson , Philipp H. Boersch-Supan , Richard A. Phillips , Sadie J. Ryan

We study a non-Markovian and nonstationary model of animal mobility incorporating both exploration and memory in the form of preferential returns. We derive exact results for the probability of visiting a given number of sites and develop a…

Statistical Mechanics · Physics 2022-04-20 Ohad Vilk , Daniel Campos , Vicenç Méndez , Emmanuel Lourie , Ran Nathan , Michael Assaf

As a result of a hundred million years of evolution, living animals have adapted extremely well to their ecological niche. Such adaptation implies species-specific interactions with their immediate environment by processing sensory cues and…

Disordered Systems and Neural Networks · Physics 2022-04-28 Tom Birkoben , Hermann Kohlstedt

The automatic design of robots has existed for 30 years but has been constricted by serial non-differentiable design evaluations, premature convergence to simple bodies or clumsy behaviors, and a lack of sim2real transfer to physical…

Robotics · Computer Science 2024-05-28 Luke Strgar , David Matthews , Tyler Hummer , Sam Kriegman

Moving groups are routinely faced with a choice of different routes as part of their daily lives, such as choosing between exits from a building. Differences in moving speeds and environmental constraints often lead to individuals being…

Physics and Society · Physics 2025-12-16 Anna Sigalou , Yunhe Tong , Charlie Pilgrim , Richard P. Mann , Nikolai W. F. Bode

Given that observational and numerical climate data are being produced at ever more prodigious rates, increasingly sophisticated and automated analysis techniques have become essential. Deep learning is quickly becoming a standard approach…

Fluid Dynamics · Physics 2017-09-12 A. Rupe , J. P. Crutchfield , K. Kashinath , Prabhat

Bias in perceptual decisions comes to pass when the advance knowledge colludes with the current sensory evidence in support of the final choice. The literature on decision making suggests two main hypotheses to account for this kind of…

Neurons and Cognition · Quantitative Biology 2017-10-17 Farzaneh Olianezhad , Maryam Tohidi-Moghaddam , Sajjad Zabbah , Reza Ebrahimpour
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