Article
Mathematics, Applied
S. Davis, C. Loyola, J. Peralta
Summary: Quantitatively assessing the level of confidence in test scores can be challenging when multiple criteria are involved. This study presents a statistical approach based on Bayesian inference and maximum entropy principle to estimate the most probable and expected scores using credible interval information. The findings have implications for understanding and analyzing uncertain evaluation of learning performance beyond the case study of recommendation letters.
Article
Physics, Fluids & Plasmas
Abdelkader El Makouri, Abdallah Slaoui, Rachid Ahl Laamara
Summary: In this paper, measurement-based quantum thermal machines are studied and the necessary condition for positive work and bounds on the ratio of fluctuations for a spin-1/2 quantum Otto heat engine are derived. The role of initial coherence on efficiency and relative fluctuations is also analyzed.
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
Physics, Fluids & Plasmas
Jonathan Asher Pachter, Ken A. Dill
Summary: Important models in nonequilibrium statistical physics often make use of a commonly used, but frequently overlooked, near-equilibrium approximation. However, this approximation fails to hold in far-from-equilibrium systems. A more principled approach would involve deriving corrections for rate fluctuations from an underlying dynamical model, rather than assuming a particular form. Applying maximum caliber as the underlying principle, we derive such corrections for non-equilibrium processes, particularly important for heavily driven systems.
Article
Automation & Control Systems
Tian Chen, Yuanzhuo Song, Zhen Wu
Summary: In this paper, we investigate the progressive optimal control problem of a model driven by Brownian motions and Markov chain, and derive the stochastic maximum principle. The maximum principle in progressive structure differs fundamentally from that in the classical case, as it characterizes the control properties at continuous and jump times separately.
SYSTEMS & CONTROL LETTERS
(2022)
Article
Physics, Fluids & Plasmas
Eiki Iyoda, Kazuya Kaneko, Takahiro Sagawa
Summary: In this paper, we theoretically and numerically show that the fluctuation theorem holds in both the long- and short-time regimes, even when the initial state of the bath is a single energy eigenstate of a many-body system.
Article
Automation & Control Systems
Amber Srivastava, Srinivasa M. Salapaka
Summary: This paper addresses a class of sequential decision-making problems with dynamic parameters, where the dynamics are pre-specified for some parameters and manipulable for others. The objective is to determine the manipulable parameter dynamics and the time-varying optimal policy to minimize the associated sequential decision-making cost at each time instant.
Article
Chemistry, Physical
Ruslan L. L. Davidchack, Brian B. B. Laird
Summary: In this study, we combined two methods to measure the excess chemical potential of a test hard spherical particle in a fluid of hard spheres. The measurements were carried out for a wide range of particle diameters, from zero to infinity, and revealed statistically significant deviations from the cubic polynomial form. An empirical functional form was proposed to better fit the measurement data while remaining consistent with the analytical limiting behavior.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Mathematics, Applied
Andrea Mentrelli
Summary: When using higher order closures, the strength of the subshock in the shock structure is significantly reduced for large Mach numbers compared to first order closure, leading to a better agreement with experimental results in the overall profile of the shock structure solution.
RICERCHE DI MATEMATICA
(2021)
Article
Multidisciplinary Sciences
Benoit Mahault, Evelyn Tang, Ramin Golestanian
Summary: Topology and stochastic thermodynamics are combined to formulate a fluctuation theorem for heat dissipation in vortex force fields, which is found to be topologically protected. The study demonstrates that entropy production in strongly fluctuating systems is quantized and controlled by a topological invariant, even when the probability distributions are non-Gaussian functions.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Multidisciplinary
V Pineda-Reyes, L. F. Escamilla-Herrera, C. Gruber, F. Nettel, H. Quevedo
Summary: This study investigates the consequences of reparameterizations on the geometric description of thermodynamics and finds that they can be coded in the contact and Riemannian structures of the thermodynamic phase space. Even though the geometric structures are modified by the reparameterizations, the metric structure on the thermodynamic equilibrium space is preserved.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Thermodynamics
Andrea Mentrelli, Tommaso Ruggeri
Summary: An investigation on the features of the shock structure solution of the 13-moment system of extended thermodynamics with a second-order closure based on the maximum entropy principle is presented. The analysis shows that adopting a second-order closure results in a significantly reduced subshock strength and better agreement with results obtained with the kinetic theory approach. Preliminary results for the 14-moment system of a polyatomic gas are also presented.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Physics, Multidisciplinary
Yi-Mu Du, Jin-Fu Chen, Xuefei Guan, C. P. Sun
Summary: The article discusses the importance of degradation and recovery processes in different systems and introduces an approach based on the principle of maximum entropy for modeling and inferring these processes at the component level. By integrating network connectivity and statistical moments, hazard or recovery rates of degradation or recovery processes can be inferred.
Review
Physics, Multidisciplinary
Jannik Ehrich, David A. A. Sivak
Summary: We review recent progress on describing the thermodynamic properties of multi-component molecular machines using autonomous bipartite Markovian dynamics. The first and second laws can be split into separate versions applicable to each subsystem of a two-component system, allowing for the analysis of energy and information flows between subsystems. Applying this framework to molecular-scale sensors allows for the derivation of tighter bounds on their energy requirement. The study of two-component strongly coupled machines provides insights into their operation as conventional power transducers or information engines.
FRONTIERS IN PHYSICS
(2023)
Article
Mathematics, Applied
Tommaso Ruggeri
Summary: This paper discusses a rarefied polyatomic gas with a non-polytropic equation of state and uses the maximum entropy principle (MEP) to obtain the closure of the binary hierarchy of 14 moments associated with the Boltzmann equation. The closed partial differential system is symmetric hyperbolic and well-posed for the Cauchy problem. In the limiting case of polytropic gas, it confirms previous results and completes the equivalence between different closure methods for non-polytropic gas.
RICERCHE DI MATEMATICA
(2021)
