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Choice models for populations of agents on graphs are studied in terms of statistical thermodynamics. Equations of state are derived and discussed for different connectivity schemes, utility approximations, and temperature and volume…

Statistical Mechanics · Physics 2009-09-29 A. Majka , W. Wislicki

In the evolving digital landscape, network flow models have transcended traditional applications to become integral in diverse sectors, including supply chain management. This research develops a robust network flow model for semiconductor…

Optimization and Control · Mathematics 2026-03-05 Yichen Wang , Huanbo Zhang , Chunhong Yuan , Xiangyu Li , Zuowen Jiang

A consistent description of a shear flow, the accompanied viscous heating, and the associated entropy balance is given in the framework of a deterministic dynamical system, where a multibaker dynamics drives two fields: the velocity and the…

Chaotic Dynamics · Physics 2009-10-31 Tamas Tel , Juergen Vollmer , Laszlo Matyas

We outline a new control system model for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and control actions of compressors and regulators. The gas dynamics…

Optimization and Control · Mathematics 2015-09-15 Anatoly Zlotnik , Michael Chertkov , Scott Backhaus

We consider the problem of using district heating systems as ancillary services for primary frequency control in power networks. We propose a novel power sharing scheme for heating systems based on the average temperature, which enables an…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Xin Qin , Ioannis Lestas

We analyze an optimization problem of the conductivity in a composite material arising in a heat conduction energy storage problem. The model is described by the heat equation that specifies the heat exchange between two types of materials…

Optimization and Control · Mathematics 2024-04-01 M. Azaiez , A. Doubova , S. Ervedoza , F. Jelassi , M. Mint Brahim

This paper examines the problem of real-time optimization of networked systems and develops online algorithms that steer the system towards the optimal trajectory without explicit knowledge of the system model. The problem is modeled as a…

Optimization and Control · Mathematics 2019-10-01 Yue Chen , Andrey Bernstein , Adithya Devraj , Sean Meyn

This paper presents a method to simulate the thermal behavior of 3D systems using a graph neural network. The method discussed achieves a significant speed-up with respect to a traditional finite-element simulation. The graph neural network…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Helios Sanchis-Alepuz , Monika Stipsitz

In recent years, several applications have been proposed in the context of distribution networks. Many of these can be formulated as an optimal power flow problem, a mathematical optimization program which includes a model of the…

Optimization and Control · Mathematics 2023-08-23 Sander Claeys , Frederik Geth , Geert Deconinck

An information theoretic approach inspired by quantum statistical mechanics was recently proposed as a means to optimize network models and to assess their likelihood against synthetic and real-world networks. Importantly, this method does…

Statistical Mechanics · Physics 2018-09-12 Carlo Nicolini , Vladimir Vlasov , Angelo Bifone

We address the problem of heat transport in a chain of coupled quantum harmonic oscillators, exposed to the influences of local environments of various nature, stressing the effects that the specific nature of the environment has on the…

Quantum Physics · Physics 2015-04-16 F. Nicacio , A. Ferraro , A. Imparato , M. Paternostro , F. L. Semião

Thermoelectric devices are heat engines, which operate as generators or refrigerators using the conduction electrons as a working fluid. The thermoelectric heat-to-work conversion efficiency has always been typically quite low, but much…

Statistical Mechanics · Physics 2016-11-11 G. Benenti , H. Ouerdane , C. Goupil

Natural gas ranks second in consumption among primary energy sources in the United States. The majority of production sites are in remote locations, hence natural gas needs to be transported through a pipeline network equipped with a…

Optimization and Control · Mathematics 2023-08-28 Sai Krishna Kanth Hari , Kaarthik Sundar , Shriram Srinivasan , Russell Bent

Performing thermodynamic tasks within finite time while minimizing thermodynamic costs is a central challenge in stochastic thermodynamics. Here, we develop a unified framework for optimizing the thermodynamic cost of performing various…

Statistical Mechanics · Physics 2025-09-16 Kaito Tojo , Rihito Nagase , Ken Funo , Takahiro Sagawa

We consider the problem of finding the energy minimum of a complex quantum Hamiltonian by employing a non-Markovian bath prepared in a low energy state. The energy minimization problem is thus turned into a thermodynamic cooling protocol in…

Quantum Physics · Physics 2024-03-29 Alberto Imparato , Nicholas Chancellor , Gabriele De Chiara

In this paper we consider the operator mapping problem for in-network stream processing applications. In-network stream processing consists in applying a tree of operators in steady-state to multiple data objects that are continually…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-07-11 Anne Benoit , Henri Casanova , Veronika Rehn-Sonigo , Yves Robert

We study the space of optimal schedules for a heat pump with thermal energy storage used in heating a residential building. We model the heating system as a Mixed Integer Linear Program with the objective to minimise the cost of heating. We…

Systems and Control · Electrical Eng. & Systems 2020-08-25 David Kraljic , Miha Troha

Distributed optimization methods have been extensively applied for the optimization of electric power distribution systems, especially for grid-edge coordination. Existing distributed optimization algorithms applied to power distribution…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Rabayet Sadnan , Nathan Gray , Anjan Bose , Anamika Dubey

We propose a fluid-based topology optimization methodology for convective heat-transfer problems that can manage an extensive number of design variables, enabling the fine geometric features required for the next generation of…

We consider the governing equations for the motion of the viscous fluids in two moving domains and an evolving surface from both energetic and thermodynamic points of view. We make mathematical models for multiphase flow with surface flow…

Mathematical Physics · Physics 2023-01-10 Hajime Koba
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