Article
Physics, Fluids & Plasmas
Fei Liu
Summary: By using the probability formulas of quantum trajectories, an auxiliary open quantum system is constructed for a periodically driven open quantum system. It is found that, at a long time limit, the coherent dynamics of the auxiliary system remains the same as that of the original system despite modifications to the Lindblad operators. The construction is illustrated using a periodically driven two-level quantum system.
Article
Multidisciplinary Sciences
Angel Ricardo Plastino, Roseli S. Wedemann, Constantino Tsallis
Summary: The study focuses on a one-dimensional many-body system where particles interact through repulsive short-range forces and move in an overdamped regime with a drag force depending on direction. The dynamics are effectively described by a non-linear Fokker-Planck equation, showing peculiar features related to the drag force's velocity dependence. The results highlight the deep connections between overdamped many-body systems, non-linear Fokker-Planck equations, and Sq-thermostatistics.
Article
Mathematics, Applied
Anna Bahyrycz, Justyna Sikorska
Summary: This passage discusses equations between linear spaces and linear mappings, and obtains the general solution and results for specific cases.
RESULTS IN MATHEMATICS
(2022)
Article
Mathematics, Applied
Andrii Dmytryshyn, Massimiliano Fasi, Marten Gulliksson
Summary: There has been a renewed interest in multi-term linear matrix equations in recent years due to their importance in various applications. This paper introduces the dynamical functional particle method for solving such equations and presents a new algorithm that outperforms existing methods for multi-term Sylvester equations in numerical experiments.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Mathematics, Applied
Roman Badora
Summary: This article discusses the stability of functional equations in a single variable, and proves a theorem on the stability of the nonlinear functional equation, which can be used to derive the stability result of the linear functional equation obtained by T. Trif in Publ Math Debrecen 60:47-61, 2002.
RESULTS IN MATHEMATICS
(2022)
Article
Optics
Ali Raza Mirza, Muhammad Zia, Adam Zaman Chaudhry
Summary: A general master equation accounting for initial system-environment correlations, corrected to second order in coupling strength, is introduced. The impact of initial correlations is shown in the form of an additional term in the second-order master equation. Application of this equation to specific models demonstrates the necessity of considering initial system-environment correlations for accurately determining system dynamics.
Article
Physics, Multidisciplinary
Akane Watanabe, Hiromichi Nakazato
Summary: An exact master equation for the simplified Jaynes-Cummings system interacting with a bosonic reservoir is derived analytically. The equation is applicable to any initial JC state and the validity of standard approximations is discussed.
Article
Materials Science, Multidisciplinary
Fei Gao, Faqiang Zhang, Liqing Yang, Zhiyuan Ma, Feng Yang, Bin Hu, Bo Peng, Chunliang Liu, Pengfei Wang
Summary: The effects of introducing KNO3 on the preparation of fluorophosphate glass were investigated, and it was found that adding 50% KNO3 resulted in the lowest UV absorption coefficient. The optimized glass maintained a negative temperature coefficient of refractive index and a near-zero thermo-optical coefficient. The lower absorption in both UV and near-infrared helped improve laser-induced damage resistance. This athermal fluorophosphate glass has great potential for compensating thermal-induced distortion in high-power solid state lasers and high-resolution optical systems.
Article
Horticulture
Lingjie Chen, Ran Zhao, Jie Yu, Jiajia Gu, Yongqiang Li, Wenrong Chen, Weidong Guo
Summary: Blueberries prefer acid soils, and this study found that their root activity and expression of VcHA genes were highest at pH 5.0. Overexpressing VcHA genes in Arabidopsis resulted in increased root activity and plant growth. Among the VcHA genes, VcHA10.2 and VcHA5 showed the strongest ability to pump H+.
SCIENTIA HORTICULTURAE
(2022)
Article
Physics, Multidisciplinary
Victor F. Los
Summary: A special projection operator is introduced to transform the Nakajima-Zwanzig inhomogeneous Generalized Master Equation (GME) into a closed homogeneous GME for the relevant part of an N-particle distribution function. The obtained equation is equivalent to the completely closed equation for s-particle distribution function. The initial correlations are accounted for by the introduced projection operator kernel.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Review
Automation & Control Systems
Pierre Rouchon
Summary: This study explores a quantum system composed of a two-level system (qubit) and a harmonic oscillator (photon), and introduces the concepts of quantum Stochastic Master Equations (SME) and Kraus-map structure. It also explains the transformation from a discrete-time formulation to a continuous-time mathematical model, and the preservation of quantum state properties through simple linear numerical integration schemes.
ANNUAL REVIEWS IN CONTROL
(2022)
Article
Mathematics
Jae-Hyeong Bae, Mohammad B. Moghimi, Abbas Najati, Batool Noori
Summary: In this paper, we investigate the stability and superstability of a class of 2-linear functional equations. The Hyers-Ulam stability is proven on restricted unbounded domains, and the obtained results are used to derive several hyperstability consequences. Furthermore, we study the asymptotic behaviors of 2-linear functions and the Hyers-Ulam stability and superstability of the 2-linear functional equation in 2-Banach spaces.
Article
Engineering, Electrical & Electronic
Dexiang Lai, Chen Chen, Sijia Tang, Zhaohong Bie, Jianhui Wang
Summary: In this study, the impact of transient frequency deviation on DG-based service restoration during load pick-up operations is investigated. The prime mover dynamics and control-parameter configuration are found to greatly influence the frequency response rate (FRR) in the restoration process. A simplified model of the speed-regulator of a single master diesel generation unit is derived to analyze the FRR, and a succinct constraint is obtained based on the characteristics of the system. The simulation results validate the accuracy of the derived constraint.
IEEE TRANSACTIONS ON SMART GRID
(2023)
Review
Chemistry, Multidisciplinary
Na Wang, Lei Cheng, Yulong Liao, Quanjun Xiang
Summary: In recent years, photocatalysis using graphite carbon nitride (g-C3N4) as a photocatalyst has attracted increasing attention for energy scarcity and environmental treatment. However, there are still challenges in achieving desirable photocatalytic performance of g-C3N4. Functional group functionalization, as a common modification technique, can modulate the carrier dynamics and increase the number of active sites, offering new opportunities for structure-to-performance relationship of g-C3N4. A review of the recent development of functional group modification is urgently needed to better understand the molecular level structure-to-performance relationship and explore the future research direction.
Article
Mathematics, Applied
Divyakumari Pachaiyappan, Murali Ramdoss, Choonkil Park
Summary: This paper investigates the general solution and stabilities of generalized functional equations and proposes a new method for image security system based on the introduced functional equation.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Physics, Multidisciplinary
Deepak Gupta, Carlos A. Plata, Anupam Kundu, Arnab Pal
Summary: This paper introduces a method of non-instantaneous resetting by utilizing an external confining trap potential to drive a Brownian particle back to its origin. The system reaches a non-equilibrium steady state, which is analyzed in detail, and numerical simulations show excellent agreement with the theoretical predictions. The general formalism developed in this study can be applied to realistic return protocols, offering a wide range of possibilities for further theoretical and experimental applications.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Multidisciplinary
Natalia Ruiz-Pino, Antonio Prados
Summary: This study provides a detailed analytical investigation into the optimal control of uniformly heated granular gases in the linear regime, examining the influence of controlling the time dependence of driving intensity on connection time and the limits of validity of the linear regime.
Article
Physics, Multidisciplinary
Carlos A. Plata, Antonio Prados, Emmanuel Trizac, David Guery-Odelin
Summary: This study uses reverse engineering to apply an external potential to a Brownian system, altering the dynamics and arrow of time, and accurately connecting two arbitrary states. The research provides a systematic approach to construct a physically feasible driving force for the transformation between different states.
PHYSICAL REVIEW LETTERS
(2021)
Article
Biochemistry & Molecular Biology
Carlos A. Plata, Stefano Marni, Samir Suweis, Tommaso Bellini, Elvezia Maria Paraboschi
Summary: This article proposes a statistical framework that enables the evaluation of the selectivity of nucleic acid pairing through reparameterizing hybridization thermodynamics. By applying this framework to PCR and microRNA-based gene regulation, it sheds new light on their selectivity.
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES
(2022)
Article
Biochemical Research Methods
Simone Di Leo, Stefano Marni, Carlos A. Plata, Tommaso P. Fraccia, Gregory P. Smith, Amos Maritan, Samir Suweis, Tommaso Bellini
Summary: In this article, the formation of duplexes in a solution of random-sequence DNA (rsDNA) oligomers is described experimentally and theoretically. The statistics of duplex formation are found to depend on temperature, with a prevalence of partially defected duplexes and a range of pairing errors.
PLOS COMPUTATIONAL BIOLOGY
(2022)
Article
Physics, Multidisciplinary
Antonio Patron, Antonio Prados, Carlos A. Plata
Summary: This study examines the optimal thermal protocols for overdamped harmonic oscillators in order to minimize the connection time between equilibrium states. The results reveal that these optimal protocols are of bang-bang type, where the bath temperature alternates between the minimum and maximum allowed values. Additionally, the study finds that even for symmetric oscillators, increasing the dimension leads to an increase in the minimum connection time.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Multidisciplinary
Deepak Gupta, Carlos A. Plata
Summary: This article introduces a general framework for determining the work distribution for returning a system using a confining potential with its minimum at the restart location. The average over resetting pathways provides a robust method for accessing statistical information of observables from resetting systems. The theory is illustrated using specific computations and validated through numerical simulations, revealing non-trivial behaviors of work fluctuations.
NEW JOURNAL OF PHYSICS
(2022)
Review
Physics, Multidisciplinary
David Guery-Odelin, Christopher Jarzynski, Carlos A. Plata, Antonio Prados, Emmanuel Trizac
Summary: Stochastic thermodynamics provides a new perspective to analyze heat, work, and entropy production for individual stochastic trajectories of mesoscopic systems. It introduces time into thermodynamic processes through stochastic equations of motion, enabling fine control. This article reviews various strategies for realizing finite-time state-to-state transformations in stochastic systems, such as over and underdamped regimes, and discusses the connection between arbitrary states and non-equilibrium steady states.
REPORTS ON PROGRESS IN PHYSICS
(2023)
Article
Physics, Applied
Basile Pottier, Carlos A. Plata, Emmanuel Trizac, David Guery-Odelin, Ludovic Bellon
Summary: We have developed a generic approach to accelerate the relaxation of the temperature field, surpassing the natural mechanical relaxation time scales. This method is applied to a micrometer-sized silicon cantilever locally heated by a laser beam. By deriving a tailored driving protocol for the laser power, we are able to quickly reach the thermal stationary state. Experimental results show a significant acceleration of the thermal relaxation, up to a factor of 30, in excellent agreement with theoretical predictions.
PHYSICAL REVIEW APPLIED
(2023)
Article
Physics, Fluids & Plasmas
Gregorio Garcia-Valladares, Carlos A. Plata, Antonio Prados
Summary: Scanning tunneling microscopy experiments have revealed a spontaneous rippled-to-buckled transition in heated graphene sheets in the absence of mechanical load. Traditional models are inconsistent with the classical theory of elasticity due to the lack of rotational invariance. In this study, an alternative spin-elastic model with rotational invariance is developed to explain the transition and the emergence of mechanical phases in graphene.
Article
Physics, Fluids & Plasmas
Alberto Megias, Andres Santos, Antonio Prados
Summary: In this paper, the Mpemba effect is investigated in a molecular gas through analytic and numerical methods. The study reveals a nonmutual correspondence between the thermal and entropic Mpemba effects, and suggests that the relaxation process of the thermal Mpemba effect is better described by the relaxation of the local equilibrium distribution.
Article
Physics, Multidisciplinary
A. Prados
Summary: By utilizing control theory and information theory, this study shows that the use of bang-bang protocols can minimize the connection time in a granular gas system, surpassing the natural relaxation time scale. Experimental results demonstrate excellent agreement with theoretical predictions, indicating the applicability of this approach to a wide range of driven nonequilibrium systems under certain conditions.
PHYSICAL REVIEW RESEARCH
(2021)
