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Optical tweezers can confine position as well as orientation of a Brownian particle by simultaneously exerting restoring force and torque on it. Here we have proposed the theoretical model of a microscopic Stirling engine, using a passive…

Statistical Mechanics · Physics 2025-05-26 Soham Dutta , Arnab Saha

The movement of a Brownian particle in a fluctuating two-state periodic potential is investigated. At high transition rate, we use a perturbation method to obtain the analytical solution of the model. It is found that the net current is a…

Biological Physics · Physics 2007-09-17 Bao-Quan Ai , Liqiu Wang , Liang-Gang Liu

The operation of Brownian motors is usually described in terms of out-of-equilibrium and symmetry-breaking settings, with the relevant spatiotemporal symmetries identified from the analysis of the equations of motion for the system at hand.…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 David Cubero , Ferrucio Renzoni

We explore the thermodynamics of stochastic heat engines in presence of stochastic resetting. The set-up comprises an engine whose working substance is a Brownian particle undergoing overdamped Langevin dynamics in a harmonic potential with…

Statistical Mechanics · Physics 2024-01-24 Sourabh Lahiri , Shamik Gupta

Thermal ratchets can extract useful work from random fluctuations. This is common in the molecular scale, such as motor proteins, and has also been used to achieve directional transport in microfluidic devices. In this work, we use the…

Soft Condensed Matter · Physics 2022-11-08 Gouri Patil , Pranay Mandal , Ambarish Ghosh

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Statistical Mechanics · Physics 2025-01-15 Dario Lucente , Alessandro Manacorda , Andrea Plati , Alessandro Sarracino , Marco Baldovin

Shape optimization of an active and a passive drag-reducing device on a two-dimensional D-shaped bluff body is performed. The two devices are: Coanda actuator, and randomly-shaped trailing-edge flap. The optimization sequence is performed…

Fluid Dynamics · Physics 2016-10-27 Richard Semaan

Optimal control (OC) algorithms such as Differential Dynamic Programming (DDP) take advantage of the derivatives of the dynamics to efficiently control physical systems. Yet, in the presence of nonsmooth dynamical systems, such class of…

A fission decay of highly excited periodically driven compound nuclei is considered in the framework of Langevin approach. We have used residual-time distribution (RTD) as the tool for studying of dynamic features in a presence of periodic…

Chaotic Dynamics · Physics 2007-05-23 V. P. Berezovoj , Yu. L. Bolotin , O. P. Dzyubak , V. V. Yanovsky , A. V. Zhiglo

This paper is dedicated to the development of a novel adaptive torsion spring mechanism for optimizing energy consumption in legged robots. By adjusting the equilibrium position and stiffness of the spring, the system improves energy…

With the rapid development of the construction industry, issues such as harsh working environments, high-intensity and high-risk tasks, and labor shortages have become increasingly prominent. This drives higher demands for construction…

Robotics · Computer Science 2025-07-24 Xiao Liu , Xianlong Yang , Weijun Wang , Wei Feng

This work puts forward a generalization of the well-known rocking Markovian Brownian ratchets to the realm of antipersistent non-Markovian subdiffusion in viscoelastic media. A periodically forced subdiffusion in a parity-broken ratchet…

Statistical Mechanics · Physics 2014-09-24 Igor Goychuk

We consider a branching Brownian motion in $\mathbb{R}^2$ in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate $b(\theta)$ which depends only on the angle $\theta$ of the particle. We…

Probability · Mathematics 2026-05-12 Julien Berestycki , David Geldbach , Michel Pain

A duality relation between the long-time dynamics of a quantum Brownian particle in a tilted ratchet potential and a driven dissipative tight-binding model is reported. It relates a situation of weak dissipation in one model to strong…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 J. Peguiron , M. Grifoni

We study fluctuating tilt Brownian ratchets based on fractional subdiffusion in sticky viscoelastic media characterized by a power law memory kernel. Unlike the normal diffusion case the rectification effect vanishes in the adiabatically…

Statistical Mechanics · Physics 2012-06-04 Igor Goychuk , Vasyl Kharchenko

With recent advances in both responsive materials and fabrication techniques it is now possible to construct integrated functional structures, composed of both structural and active materials. We investigate the robust design of such…

Optimization and Control · Mathematics 2021-07-20 Andrew Akerson , Blaise Bourdin , Kaushik Bhattacharya

A novel method for calculating power output from wind turbines using Newtonian mechanics is proposed. This contrasts with current methods based on interception rates by airfoils of kinetic energy to estimate power output, governed by the…

Classical Physics · Physics 2021-10-29 Ivan R. Kennedy , Migdat Hodzic , Angus N. Crossan , Niranjan Acharige , John Runcie

Dynamic real-time optimization (DRTO) is a challenging task due to the fact that optimal operating conditions must be computed in real time. The main bottleneck in the industrial application of DRTO is the presence of uncertainty. Many…

This paper presents methods for finding optimal configurations and actuator forces/torques to maximise contact wrenches in a desired direction for Underwater Vehicles Manipulator Systems (UVMS). The wrench maximisation problem is formulated…

Robotics · Computer Science 2022-03-01 Wilhelm Johan Marais , Stefan B. Williams , Oscar Pizarro

We present the theoretical analysis of the steady state currents and density distributions of particles moving with Langevin dynamics, under the effects of an external potential displaced at constant rate. The Dynamic Density Functional…

Soft Condensed Matter · Physics 2009-11-10 F. Penna , P. Tarazona