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For two canonical examples of driven mesoscopic systems - a harmonically-trapped Brownian particle and a quantum dot - we numerically determine the finite-time protocols that optimize the compromise between the standard deviation and the…

Statistical Mechanics · Physics 2018-05-09 Alexandre P. Solon , Jordan M. Horowitz

Anisotropic hybrid nanostructures stand out as promising therapeutic agents in photothermal conversion-based treatments. Accordingly, understanding local heat generation mediated by light-to-heat conversion of absorbing multicomponent…

The energy cost of computation has emerged as a central challenge at the intersection of physics and computer science. Recent advances in statistical physics -- particularly in stochastic thermodynamics -- enable precise characterizations…

Statistical Mechanics · Physics 2025-10-07 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

We consider overdamped physical systems evolving under a feedback-controlled fluctuating potential and in contact with a thermal bath at temperature $T$. A Markovian description of the dynamics, which keeps only the last value of the…

Statistical Mechanics · Physics 2026-02-12 Natalia Ruiz-Pino , Antonio Prados

The mean first-passage time (MFPT) for a Brownian particle to surmount a potential barrier of height $\Delta U$ is a fundamental quantity governing a wide array of physical and chemical processes. According to the Arrhenius Law, the MFPT…

Statistical Mechanics · Physics 2025-11-24 Vishwajeet Kumar , Ohad Shpielberg , Arnab Pal

We study the problem of minimising the connection time between non-equilibrium steady states of the Brownian Gyrator. This is a paradigmatic model in non-equilibrium statistical mechanics, an overdamped Brownian particle trapped in a…

Statistical Mechanics · Physics 2025-03-25 A. Patrón , C. A. Plata , A. Prados

In this work, we examine the impact of time-varying temperature and force on the thermodynamic features of active Brownian motor that moves with velocity against the force as well as passive Brownian motor. By deriving analytical…

Statistical Mechanics · Physics 2025-09-10 Mesfin Taye

The approach of shortcuts to adiabaticity enables the effective execution of adiabatic dynamics in quantum information processing with enhanced speed. Owing to the inherent trade-off between dynamical speed and the cost associated with the…

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Statistical Mechanics · Physics 2020-12-18 Schuyler B. Nicholson , Luis Pedro Garcia-Pintos , Adolfo del Campo , Jason R. Green

We discuss the application of techniques of quantum estimation theory and quantum metrology to thermometry. The ultimate limit to the precision at which the temperature of a system at thermal equilibrium can be determined is related to the…

Quantum Physics · Physics 2019-05-01 Antonella De Pasquale , Thomas M. Stace

Some microscopic dynamics are also macroscopically irreversible, dissipating energy and producing entropy. For many-particle systems interacting with deterministic thermostats, the rate of thermodynamic entropy dissipated to the environment…

Classical Physics · Physics 2025-01-13 Swetamber Das , Jason R. Green

We study optimal control strategies to optimize the relaxation rate towards the fixed point of a quantum system in the presence of a non-Markovian dissipative bath. Contrary to naive expectations that suggest that memory effects might be…

We presented a methodology to approximate the entropy production for Brownian motion in a tilted periodic potential. The approximation stems from the well known thermodynamic uncertainty relation. By applying a virial-like expansion, we…

Statistical Mechanics · Physics 2022-10-26 N. J. Lopez-Alamilla , R. U. L. Cachi

In a spatially periodic temperature profile, directed transport of an overdamped Brownian particle can be induced along a periodic potential. With a load force applied to the particle, this setup can perform as a heat engine. For a given…

Statistical Mechanics · Physics 2009-04-02 Florian Berger , Tim Schmiedl , Udo Seifert

We study the problem of optimizing released heat or dissipated work in stochastic thermodynamics. In the overdamped limit these functionals have singular solutions, previously interpreted as protocol jumps. We show that a regularization,…

Statistical Mechanics · Physics 2015-06-03 Erik Aurell , Carlos Mejia-Monasterio , Paolo Muratore-Ginanneschi

We derive an equality for non-equilibrium statistical mechanics in finite-dimensional quantum systems. The equality concerns the worst-case work output of a time-dependent Hamiltonian protocol in the presence of a Markovian heat bath. It…

Landauer's limit on heat dissipation during information erasure is critical as devices shrink, requiring optimal pure-state preparation to minimise errors. However, Nernst's third law states this demands infinite resources in energy, time,…

We investigate a Brownian heat engine wherein a particle moves through a periodic ratchet potential under an exponentially decreasing temperature profile, a spatial configuration that closely resembles experimentally realizable conditions…

Statistical Mechanics · Physics 2025-09-26 Mesfin Asfaw Taye

We analyze the dynamics of a Brownian gas in contact with a heat bath in which large temperature fluctuations occur. There are two distinct time scales present, one describes the decay of the fluctuations in the temperature and the other…

Statistical Mechanics · Physics 2009-11-11 I. Santamaria-Holek , R. F. Rodriguez

We investigate how the temperature calculated from the microcanonical entropy compares with the canonical temperature for finite isolated quantum systems. We concentrate on systems with sizes that make them accessible to numerical exact…

Statistical Mechanics · Physics 2023-04-05 Phillip C. Burke , Masudul Haque
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