Article
Physics, Multidisciplinary
Jae Sung Lee, Sangyun Lee, Hyukjoon Kwon, Hyunggyu Park
Summary: Landauer's bound is the minimum thermodynamic cost for erasing one bit of information. Finite-time operation incurs additional energetic costs, with different scaling behavior depending on the degree of irreversibility of the process. Optimal dynamics can lead to the equality of the bound.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Shan Guo, Ming-zhu Sun, Xin Zhao
Summary: The meshwork pattern formation is guided by four kinds of stalk behaviors and the Turing instability of the spot pattern. The Turing wavelength decreases gradually from tip bifurcation to side branching to tip fusion. Simulation results show that a small Turing wavelength facilitates dense meshwork pattern formation.
SCIENTIFIC REPORTS
(2021)
Article
Mathematics, Applied
Umar Faruk Muntari, Taylan Sengul
Summary: This paper addresses the relation between pattern formation and dynamic transitions in the Brusselator model. The study provides a rigorous characterization of the dynamic transitions from basic homogeneous states and explores the influence of nonlinear interactions on the transition types and patterns exhibited by the system.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Claudio Arancibia-Ibarra, Michael Bode, Jose Flores, Graeme Pettet, Peter van Heijster
Summary: The paper investigates temporal and spatio-temporal modified Holling-Tanner predator-prey models, including predator-prey growth rate, functional response, and alternative food sources for the predator. It shows numerical evidence where the Turing instability leads to spatio-temporal periodic solutions and analyses these instabilities. Simulations are used to illustrate the behavior of both the temporal and spatiotemporal model.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Mathematics, Interdisciplinary Applications
Santu Ghorai, Bhaskar Chakraborty, Nandadulal Bairagi
Summary: This study reveals the spatiotemporal pattern forming phenomena of plankton populations under preferential selection. Various Turing and non-Turing patterns may arise due to selective predation. While all patterns formed in the Turing region are stationary in time, the convergence time of the solutions may significantly differ based on the nature of the roots of the characteristic equation.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Multidisciplinary
Shuangrui Zhao, Hongbin Wang
Summary: This paper explores the coexistence of multi-stable patterns and the superposition of patterns in the classical Gierer-Meinhardt system from the perspective of Turing-Turing bifurcation. The study reveals the existence of semi-stable patterns superimposed by two different spatial resonances and the coexistence of four stable steady states with different characteristic wavelengths. Numerical simulations are consistent with the theoretical analysis. The findings suggest that experimental patterns of vascular mesenchymal cells can be interpreted as the superposition of different spatial modal patterns.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Physics, Fluids & Plasmas
Juan P. Garrahan, Felix Ritort
Summary: We introduce a family of generalized continuous Maxwell demons (GCMDs) that operate on idealized single-bit equilibrium devices, combining the single-measurement Szilard and the repeated measurements of the continuous Maxwell demon protocols. We derive cycle distributions for extracted work, information content, and time, and calculate power and information-to-work efficiency fluctuations for different models. We find that the efficiency at maximum power is highest for an opportunistic protocol of continuous type in the dynamical regime dominated by rare events. We also extend the analysis to finite-time work extracting protocols and show that dynamical finite-time correlations in this model increase the information-to-work conversion efficiency, highlighting the role of temporal correlations in optimizing information-to-energy conversion.
Article
Optics
Kai Xu, Hong-Guo Li, Zong-Guo Li, Han-Jie Zhu, Guo-Feng Zhang, Wu-Ming Liu
Summary: In the process of using quantum resources to improve the performance of quantum battery devices, the influence of the external environment restricts the device performance. The coupling between the quantum battery and the first-layer environment can be reduced to improve the charging performance. Additionally, increasing the number of cavities and the coupling strength in the second-layer environment can enhance charging performance.
Article
Physics, Multidisciplinary
Tan Van Vu, Keiji Saito
Summary: The Landauer principle states that any logically irreversible information processing must result in dissipation into the environment. In this Letter, the authors investigate the heat dissipation and the effect of quantum coherence in finite-time information erasure processes. They find that the heat dissipation is lower bounded by the conventional Landauer cost, with a correction term inversely proportional to the operational time. They also derive a lower bound for heat dissipation in terms of quantum coherence, which implies that the creation of quantum coherence during the erasure process leads to additional heat costs.
PHYSICAL REVIEW LETTERS
(2022)
Article
Engineering, Mechanical
Wei Gou, Zhen Jin
Summary: This study investigates the epidemiological patterns in spatial networks through the development of an epidemic reaction-diffusion model based on spatially embedded networks. By systematically studying factors such as network size, connectivity, and degree heterogeneity, the study provides new insights into the formation of patterns in spatial networks. It is found that degree heterogeneity does not trigger fundamental changes in pattern types, and randomly connected links in spatial networks act as a mechanism to induce irregular stationary patterns, narrowing prevalence differences and preventing Turing instability.
NONLINEAR DYNAMICS
(2021)
Article
Computer Science, Artificial Intelligence
David Schnoerr, Christoph Schnoerr
Summary: This paper introduces an approach to predict Turing parameter values from observed Turing patterns. The approach uses a novel pattern representation based on resistance distance histograms and Wasserstein kernels to deal with the highly variable arrangement of local pattern structure. It only requires a single pattern as input data for model parameter prediction.
Article
Multidisciplinary Sciences
Zhenpeng Ge
Summary: The hyperuniformity of vegetation Turing patterns is related to water-use efficiency. Near the tipping point, Turing-type ecosystems exhibit significant critical slowing down, indicating non-negligible transient dynamical behavior. Reduced rainfall affects both the resilience of the ecosystem's steady state and the rate of spatial optimization of water-use efficiency in long transient regimes. The degree of hyperuniformity can be used to assess the spatial resilience of ecosystems after disturbances.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Review
Physics, Multidisciplinary
David P. Feldman, James P. Crutchfield
Summary: This article compares and contrasts three different, but complementary views of structure and pattern in spatial processes. It applies these approaches to one-dimensional Ising spin systems and demonstrates that the measures of pattern from information theory and computational mechanics differ from known thermodynamic and statistical mechanical functions. It argues that these analyses capture the intrinsic computational capabilities embedded in spin systems and how they produce spatial structure.
Article
Engineering, Mechanical
Rui Yang
Summary: This paper investigates the Turing instability conditions driven by cross-diffusion in the Schnakenberg system and reveals that long-range inhibition and short-range activation are no longer necessary for Turing instability with the introduction of cross-diffusion. The amplitude equations at the critical value of Turing bifurcation are derived using the multiple scales method, which helps to determine the parameter space where certain patterns emerge. Numerical simulations in the Turing instability region and Turing-Hopf region demonstrate the variety of patterns that the system can exhibit, and different initial conditions are employed to enhance understanding of the complex patterns.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Yu Shi, Xiao-Feng Luo, Yong-Xin Zhang, Gui-Quan Sun
Summary: In this paper, a rough pathological index for assessing the severity of Crohn's disease (CD) is proposed based on the pattern dynamics of a reaction-diffusion system involving phagocytes and bacteria. The amplitude equations determining Turing pattern structure with different bacterial biomass are obtained through multi-scale analysis, and similar structures are observed in CD images at different inflammatory stages. This rough indicator from a pathological perspective is consistent with the grading based on imaging features, providing detailed insights into the pathogenesis of CD and potential implications for the prevention and control of other intestinal inflammatory diseases.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Chemistry, Physical
Francesco Avanzini, Massimiliano Esposito
Summary: This study investigates the thermodynamic implications of two control mechanisms in open chemical reaction networks. It is shown that the two mechanisms can be mapped to each other, and thermodynamic theories developed for concentration control can also be applied to flux control. Furthermore, the study finds that while the two mechanisms are equivalent at steady state, flux control may lead to different behaviors.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
Gianmaria Falasco, Massimiliano Esposito, Jean-Charles Delvenne
Summary: This study derives novel bounds on the nonlinear response of a system undergoing a change of probabilistic state, based on a recent geometric generalization of thermodynamic uncertainty relations. These bounds have various applications, including trade-offs between thermodynamic cost and system reliability, speed limits for non-autonomous Markov processes, and upper bounds on the nonlinear response based on the complexity of the system.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Jorge Tabanera, Ines Luque, Samuel L. Jacob, Massimiliano Esposito, Felipe Barra, Juan M. R. Parrondo
Summary: Collisional reservoirs are important in modeling open quantum systems, where theoretical solutions in one dimension with flat interaction potentials are feasible. Approximate scattering map methods help preserve the system's symmetries and achieve thermalization effectively.
NEW JOURNAL OF PHYSICS
(2022)
Article
Chemistry, Multidisciplinary
Shuntaro Amano, Massimiliano Esposito, Elisabeth Kreidt, David A. Leigh, Emanuele Penocchio, Benjamin M. W. Roberts
Summary: The framework of information thermodynamics allows us to quantitatively relate information to other thermodynamic parameters and reveals the generation of energy and information flow in the chemical to mechanical process. This is of great significance for understanding the thermodynamic level of molecular motors and has practical implications for machine design.
Article
Physics, Multidisciplinary
Jan Meibohm, Massimiliano Esposito
Summary: We have discovered a finite-time dynamical phase transition in the thermal relaxation process, which is characterized by a cusp singularity in the probability distribution of the magnetization at a critical time. This transition is attributed to the sudden switch in dynamics, represented by a dynamical order parameter. We have developed a dynamical Landau theory that applies to various systems with scalar, parity-invariant order parameters. Our theory reveals an exact mapping between the dynamical and equilibrium phase transitions of the magnetic model near criticality, suggesting critical exponents of mean-field type. We propose that neglected interactions between nearby saddle points at the mean-field level may lead to spatiotemporal fluctuations and give rise to novel dynamical critical phenomena.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Riccardo Rao, Stanislas Leibler
Summary: Any evolutionary theory must consider the dynamics of reproducing organisms with heritable traits, stochastic variations in these traits, and the selection of organisms that better survive and reproduce. This study introduces a general model of reproduction-variation-selection dynamics, treating them as a nonequilibrium thermodynamic process to characterize the forces that drive evolution. One of these forces is associated with the robustness of reproduction to variations.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Chemistry, Physical
Emanuele Penocchio, Francesco Avanzini, Massimiliano Esposito
Summary: This study extends the scope of information thermodynamics to deterministic bipartite chemical reaction networks and introduces a meaningful concept of mutual information between different molecular features. By using this concept, separate second laws can be formulated for each subnetwork, and the working mechanisms of chemically driven self-assembly and light-driven bimolecular motor can be investigated.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Chemistry, Physical
Artur Wachtel, Riccardo Rao, Massimiliano Esposito
Summary: This article provides a rigorous definition of free-energy transduction and its efficiency in open chemical reaction networks. Central energy metabolism is analyzed to relate the fundamental currents to metabolic pathways and discuss their efficiency in transducing free energy.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Chemistry, Physical
Shesha Gopal Marehalli Srinivas, Matteo Polettini, Massimiliano Esposito, Francesco Avanzini
Summary: This paper investigates the relationship between the chemical master equation and its dual equation for stochastic chemical processes. By studying the topological properties of the chemical reaction network, it is determined whether they satisfy the law of mass-action. It is proven that only networks with zero deficiency can satisfy the law of mass-action, while other networks cannot invert the direction of their steady-state reactions by controlling the kinetic constants. Therefore, the deficiency of the network determines the non-invertibility of the chemical dynamics. Furthermore, it is shown that catalytic chemical networks do not have zero deficiency when they are driven out of equilibrium due to species exchange with the environment.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Krzysztof Ptaszynski, Massimiliano Esposito
Summary: There is controversy about whether the coherent superposition of occupied states of two fermionic modes should be regarded as entangled, and whether the quantum correlations it possesses are accessible and usable as a resource. The superselection rule has been cited as a reason for why this entanglement cannot be accessed through local operations on individual modes. However, this study demonstrates that entanglement of a two-mode fermionic state can be utilized as a genuine quantum resource in open-system thermodynamic processes, enabling tasks that are forbidden for separable states. Quantum thermodynamics can thus provide insight into the nature of fermionic entanglement and its operational meaning.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Jorge Tabanera-Bravo, Juan M. R. Parrondo, Massimiliano Esposito, Felipe Barra
Summary: We introduce a class of quantum maps that can thermalize a system in collisional reservoirs when combined with a dephasing mechanism. These maps describe collision effects, inducing transitions obeying detailed balance and creating coherences that prevent thermalization. By combining these maps with random unitary evolution causing dephasing, we find that a low collision rate leads to thermalization in the system. This scenario is suitable for modeling equilibrium collisional reservoirs, and we provide a thorough characterization of the resulting thermalization process.
PHYSICAL REVIEW LETTERS
(2023)
Article
Quantum Science & Technology
Krzysztof Ptaszynski, Massimiliano Esposito
Summary: The entropy production in fermionic systems is mostly quantum due to the restriction on allowed measurements imposed by the parity superselection rule. In contrast, bosonic systems allow for a larger amount of classical correlations to be accessed through Gaussian measurements. This distinction suggests a quantum-to-classical transition in the microscopic formulation of entropy production.
Article
Physics, Fluids & Plasmas
Krzysztof Ptaszynski, Massimiliano Esposito
Summary: This study investigates the entropy production of an open system coupled to a reservoir initialized in a canonical state. The entropy production is found to be a sum of the mutual information between the system and the bath, as well as a measure of the displacement of the environment from equilibrium. However, when the reservoir is initialized in a microcanonical or certain pure state, the information-theoretic contributions to the entropy production depend on the initial state of the reservoir.
Article
Physics, Fluids & Plasmas
Nahuel Freitas, Massimiliano Esposito
Summary: A CMOS-based implementation of an autonomous Maxwell's demon was proposed to demonstrate its functionality at macroscopic scales. The nonautonomous version of the model was analyzed analytically, followed by a study of system-demon information flows in generic bipartite setups. It was found that the information flow is an intensive quantity and scaling the thermodynamic forces can prevent the demon from stopping above a finite scale.
Article
Physics, Fluids & Plasmas
Nahuel Freitas, Karel Proesmans, Massimiliano Esposito
Summary: We investigate the relationship between reliability and entropy production in a realistic model of electronic memory, and derive an explicit expression bounding the error rate of the memory. Our results go beyond the classical instanton theory and are confirmed by comparison with stochastic simulations.