Review
Mathematics, Interdisciplinary Applications
H. S. Wio, J. Deza, A. D. Sanchez, R. Garcia-Garcia, R. Gallego, J. A. Revelli, R. R. Deza
Summary: This paper briefly reviews the birth and evolution of the nonequilibrium potential (NEP) concept and illustrates its importance in qualitative reasoning and providing a global Lyapunov function for deterministic dynamics. The author further demonstrates the usefulness of NEP in stochastic thermodynamics through examples such as the Jarzynski equality in the Wilson-Cowan model and the thermodynamic uncertainty relation (TUR) in the KPZ equation. The paper also discusses the system-size stochastic resonance and relevant aspects of KPZ phenomenology.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Fluids & Plasmas
A. Plati, A. Puglisi, A. Sarracino
Summary: We propose a thermodynamic uncertainty relation that constrains the average squared displacement of a Gaussian process with memory under the influence of unbalanced thermal baths and/or external forces. Our bound is more rigorous than previous results and is applicable at finite times. We verify our findings using experimental and numerical data from a vibrofluidized granular medium, which exhibits anomalous diffusion behavior. Our relation has the ability to discern between equilibrium and nonequilibrium dynamics in certain cases, which is challenging for Gaussian processes.
Article
Chemistry, Physical
Faezeh Khodabandehlou, Christian Maes, Karel Netocny
Summary: We discuss when and why the steady nonequilibrium heat capacity vanishes with temperature using general arguments and examples. The framework of Markov jump processes on finite connected graphs is used, where the condition of local detailed balance helps identify the heat fluxes, and the discreteness enables a nondegenerate stationary distribution at absolute zero. Additionally, a dynamic condition is needed for the nonequilibrium extension of the Third Law to ensure that the low-temperature dynamical activity and accessibility of the dominant state remain sufficiently high.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Review
Physics, Multidisciplinary
Dongliang Zhang, Qi Ouyang
Summary: Studying living systems from a nonequilibrium thermodynamic aspect has revealed its significance and usefulness through the development of stochastic thermodynamics. The historical importance of thermodynamic perspective in biological systems has led to breakthroughs such as the Jarzynski equality and Crooks' fluctuation theorem. The current theoretical framework for stochastic thermodynamics in biochemical reaction networks provides new insights for the thermodynamic study of biological systems.
Article
Multidisciplinary Sciences
Yuqing Qiu, Michael Nguyen, Glen M. Hocky, Aaron R. Dinner, Suriyanarayanan Vaikuntanathan
Summary: Understanding the impact of nonequilibrium driving on self organization is essential for predictive descriptions of biological systems, yet hindered by complexity. This study constructs a minimal model based on recent experiments involving actin filament growth rates to show the dynamics of a growing actin bundle are constrained by thermodynamic considerations, underscoring the importance of correlations between molecular fluxes and offering insights for estimating microscopic driving forces from microscopy experiments.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Physics, Multidisciplinary
Tushar K. Saha, Jannik Ehrich, Momcilo Gavrilov, Susanne Still, David A. Sivak, John Bechhoefer
Summary: We experimentally demonstrate that information engines in contact with an out-of-equilibrium bath can convert thermal fluctuations into work at rates much higher than the traditional engines. By adding a fluctuating electric field, the work extraction can be increased up to ten times, limited only by the strength of the applied field. This connects Maxwell's demon with energy harvesting and shows the superior performance of information engines in non-equilibrium baths.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Erez Aghion, Jason R. Green
Summary: Thermodynamic speed limits are classical uncertainty relations that place global bounds on the stochastic dissipation of energy and the production of entropy. In this study, we derive integral speed limits that provide upper and lower bounds on the minimum time for an amount of mechanical work to be done on or by a system, instead of constraints on thermodynamic costs. We demonstrate the relationship between an extrinsic timescale and an intrinsic timescale for work in the short time limit, and convert the first law of stochastic thermodynamics into a first law of speeds. Two physical examples are considered - the work done by a flashing Brownian ratchet and the work done on a particle in a potential well subject to external driving.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Physics, Multidisciplinary
Felipe Hawthorne, Pedro E. Harunari, Mario J. de Oliveira, Carlos E. Fiore, Antony N. Beris
Summary: This article discusses the thermodynamic properties of a generic majority vote model by introducing the concept of a thermal reservoir associated with each local configuration. The behavior of energy/heat fluxes at phase transitions is investigated in detail.
Article
Physics, Multidisciplinary
Patrick P. Potts, Alex Arash Sand Kalaee, Andreas Wacker
Summary: Markovian master equations are a versatile tool for describing open quantum systems in the absence of memory effects. A new thermodynamically consistent Markovian master equation introduced in this study provides an accurate description by rescaling the Hamiltonian, ensuring a limited resolution for heat and enabling a consistent thermodynamic description of systems where the secular approximation breaks down.
NEW JOURNAL OF PHYSICS
(2021)
Article
Physics, Multidisciplinary
Paul C. Bressloff
Summary: A characteristic feature of stochastic processes under resetting is the convergence of probability density to a non-equilibrium stationary state, with a dynamical phase transition resembling a traveling front. In diffusion-based morphogenesis, an NESS is generated by a mechanism involving localized current sources and degradation, leading to protein concentration gradients. The calculation of accumulation time is a common method for characterizing relaxation processes in these systems.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Multidisciplinary Sciences
Phillip M. Rauscher, Hans Christian Ottinger, Juan J. de Pablo
Summary: Nonequilibrium interfacial thermodynamics plays a crucial role in biological, physical, and industrial-scale transport processes. In this study, we propose a theory of local equilibrium for multiphase multicomponent interfaces and use molecular dynamics simulations to validate the theory. Our results provide a thermodynamic foundation and computational tools for studying various interfacial transport phenomena.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Mechanics
Eun-jin Kim
Summary: Information geometry theory is an advantageous method for understanding complexity, allowing us to describe the characteristics of time-varying, non-equilibrium processes by measuring the change in information along the evolution path of a stochastic variable. By linking it with thermodynamic concepts, we can further explain the meaning of information length and information rate, as well as their relationship with entropy production and self-organization.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Viktor Holubec, Artem Ryabov, Sarah A. M. Loos, Klaus Kroy
Summary: A new class of stochastic delay processes with nonlinear time-local forces and linear time-delayed forces has been introduced, which obey fluctuation theorems and converge to a Boltzmann equilibrium at long times. These processes are stable, energetically passive, and computationally provide exact constraints on general nonlinear stochastic delay problems, suggesting potential applications in perturbative analysis. Physically, they can be interpreted as underdamped Brownian particles in different thermal baths, showing promising experimental implications.
NEW JOURNAL OF PHYSICS
(2022)
Article
Physics, Fluids & Plasmas
Raunak Dey, Avijit Kundu, Biswajit Das, Ayan Banerjee
Summary: This study investigates the crucial category of nonequilibrium steady states (NESS) in the mesoscopic world. By employing a model NESS stochastic system, the researchers demonstrate that time-integrated observables, such as the entropic current and work done on/dissipated by the system, follow the three Levy arcsine laws in the large time limit. The study provides insights into NESS statistics and the role of stochastic fluctuations.
Article
Mechanics
Naoto Shiraishi
Summary: We investigate the connection between response and fluctuation in general nonequilibrium stationary states. We focus on time-symmetric quantities and find that the fluctuation of a certain empirical measure can be expressed by the response of the empirical measure, current, and time-symmetric current. We prove this relation using the fictitious stalling decomposition, decomposing a single observed transition between microscopic states into two transitions where one stalls in the stationary state.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)