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Inertial effects affecting both the translational and rotational dynamics are inherent to a broad range of active systems at the macroscopic scale. Thus, there is a pivotal need for proper models in the framework of active matter to…

Soft Condensed Matter · Physics 2023-05-10 Alexander R. Sprenger , Lorenzo Caprini , Hartmut Löwen , René Wittmann

This work is concerned with a hierarchical framework of optimal control problems connecting interacting particle systems, the mean field limit equations, and associated hydrodynamic models. By assuming the existence of solutions, we…

Optimization and Control · Mathematics 2025-10-20 Michael Herty , Yizhou Zhou

Active matter constantly dissipates energy to power the self-propulsion of its microscopic constituents. This opens the door to designing innovative cyclic engines without any equilibrium equivalent. We offer a consistent thermodynamic…

Soft Condensed Matter · Physics 2020-07-08 Timothy Ekeh , Michael E. Cates , Étienne Fodor

This paper provides a systematic investigation into the various nonlinear objective functions which can be used to explore the feasible space associated with the optimal power flow problem. A total of 40 nonlinear objective functions are…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Ignasi Ventura Nadal , Samuel Chevalier

The in-out formalism is a systematic and powerful method for finding the effective actions in an electromagnetic field and a curved spacetime provided that the field equation has explicitly known solutions. The effective action becomes…

High Energy Physics - Theory · Physics 2017-04-05 Sang Pyo Kim

Access to the potential energy Hessian enables determination of the Gibbs free energy, and certain approaches to transition state search and optimization. Here, we demonstrate that off-the-shelf pretrained Open Catalyst Project (OCP)…

Materials Science · Physics 2024-10-08 Brook Wander , Joseph Musielewicz , Raffaele Cheula , John R. Kitchin

For a small system like a colloidal particle or a single biomolecule embedded in a heat bath, the optimal protocol of an external control parameter minimizes the mean work required to drive the system from one given equilibrium state to…

Statistical Mechanics · Physics 2009-11-13 Tim Schmiedl , Udo Seifert

Active Matter models commonly consider particles with overdamped dynamics subject to a force (speed) with constant modulus and random direction. Some models include also random noise in particle displacement (Wiener process) resulting in a…

We consider the thermal and athermal overdamped motion of particles in 1D geometries where discrete internal degrees of freedom (spin) are coupled with the translational motion. Adding a driving velocity that depends on the time-dependent…

Statistical Mechanics · Physics 2018-03-21 Thibaut Demaerel , Christian Maes

We explore the self-propulsion of an active Ornstein-Uhlenbeck particle with a non-linear velocity dependent friction. Using analytical approach and numerical simulation, we have exactly investigated the dynamical behaviour of the particle…

Soft Condensed Matter · Physics 2024-05-15 N Arsha , M Sahoo

In this paper, we address the task of setting up an optimal production plan taking into account an uncertain demand. The energy system is represented by a system of hyperbolic partial differential equations (PDEs) and the uncertain demand…

Optimization and Control · Mathematics 2020-01-13 Simone Göttlich , Oliver Kolb , Kerstin Lux

In recent advances in finite-time thermodynamics, optimization of entropy production required for finite-time information processing is an important issue. In this work, we consider finite-time feedback processes in classical discrete…

Statistical Mechanics · Physics 2025-03-18 Rihito Nagase , Takahiro Sagawa

Harvesting free energy from the environment is essential for the operation of many biological and artificial systems. We investigate the maximum rate of harvesting achievable by optimizing a set of reactions in a Markovian system, possibly…

Statistical Mechanics · Physics 2024-03-13 Jordi Piñero , Ricard Solé , Artemy Kolchinsky

We propose an efficient novel path sampling-based framework designed to accelerate the investigation of rare events in complex molecular systems. A key innovation is the shift from sampling restricted path ensemble distributions, as in…

Chemical Physics · Physics 2025-03-28 Gianmarco Lazzeri , Peter G. Bolhuis , Roberto Covino

We study the optimal exergy efficiency and power for thermodynamic systems with Onsager-type "current-force" relationship describing the linear-response to external influences. We derive, in simple analytic forms, the maximum efficiency and…

Statistical Mechanics · Physics 2015-03-17 Jian-Hua Jiang

Active many-body systems composed of many interacting degrees of freedom often operate out of equilibrium, giving rise to non-trivial emergent behaviors which can be functional in both evolved and engineered contexts. This naturally…

Soft Condensed Matter · Physics 2023-11-29 Sumit Sinha , Vishaal Krishnan , L Mahadevan

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

Thermally activated escape over a potential barrier in the presence of periodic driving is considered. By means of novel time-dependent path-integral methods we derive asymptotically exact weak-noise expressions for both the instantaneous…

Statistical Mechanics · Physics 2009-10-31 Jörg Lehmann , Peter Reimann , Peter Hänggi

Thermodynamics is traditionally concerned with systems comprised of a large number of particles. Here we present a framework for extending thermodynamics to individual quantum systems, including explicitly a thermal bath and work-storage…

Quantum Physics · Physics 2014-09-29 Paul Skrzypczyk , Anthony J. Short , Sandu Popescu

Physics, chemistry, biology or finance are just some examples out of the many fields where complex Ornstein-Uhlenbeck (OU) processes have various applications in statistical modelling. They play role e.g. in the description of the motion of…

Statistics Theory · Mathematics 2020-11-23 Kinga Sikolya , Sándor Baran