Collective dynamics from stochastic thermodynamics

Sasa, Shigehiko

doi:10.1088/1367-2630/17/4/045024

Cited by 16 publications

(17 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, little is known about their thermodynamic description. For instance, thermodynamics of nonequilibrium phase transitions started to be explored only recently [18][19][20][21][22][23][24][25][26][27][28][29][30]. There is a pressing need to develop methodologies to study thermodynamic quantities such as heat work and dissipation, not only at the average but also at the fluctuation level.…”

Section: Introductionmentioning

confidence: 99%

Stochastic thermodynamics of all-to-all interacting many-body systems

et al. 2020

View full text Add to dashboard Cite

We provide a stochastic thermodynamic description across scales for N identical units with allto-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with Poisson rates describing transitions between many-body states. We then identify an exact coarse graining leading to a mesoscopic description in terms of Poisson transitions between systems occupations. We also study macroscopic fluctuations using the Martin-Siggia-Rose formalism and large deviation theory. In the macroscopic limit (N → ∞), we derive an exact nonlinear (mean-field) rate equation describing the deterministic dynamics of the most likely occupations. Thermodynamic consistency, in particular the detailed fluctuation theorem, is demonstrated across microscopic, mesoscopic and macroscopic scales. The emergent notion of entropy at different scales is also outlined. Macroscopic fluctuations are calculated semianalytically in an out-of-equilibrium Ising model. Our work provides a powerful framework to study thermodynamics of nonequilibrium phase transitions.

show abstract

Section: Introductionmentioning

confidence: 99%

Stochastic thermodynamics of all-to-all interacting many-body systems

et al. 2020

View full text Add to dashboard Cite

show abstract

“…If ω i K and √ D, a condition corresponding to the XY model, strong interaction between the oscillators or large noise suppress the regular oscillation [30]. To impose the NESS condition without phase locking, we mainly consider the parameter range: |ω i | > |K| √ D. Mapped on a Langevin equation,θ i = µF i + η i , where µ is the motility coefficient, which we set to µ = 1 for convenience.…”

mentioning

confidence: 99%

Thermodynamic uncertainty relation of interacting oscillators in synchrony

Lee

Hyeon

2018

Phys. Rev. E

View full text Add to dashboard Cite

The thermodynamic uncertainty relation sets the minimal bound of the cost-precision trade-off relation for dissipative processes. Examining the dynamics of an internally coupled system that is driven by a constant thermodynamic force, we however find that the trade-off relation of a sub-system is not constrained by the minimal bound of conventional uncertainty relation. We made our point explicit by using an exactly solvable model of interacting oscillators. As the number (N ) of interacting oscillators increases, the uncertainty bound of individual oscillators is reduced to 2kBT /N upon full synchronization under strong coupling. The cost-precision trade-off for the sub-system is particularly relevant for sub-cellular processes where collective dynamics emerges from multiple energy-expending components interacting with each other.

show abstract

“…It is worth to note that the first two coefficients of the expansion (14) were recently re-derived in [36] by using a different approach: the author mapped the deterministic time evolution of the KM order parameter into a stochastic process as given by equation (1), and applied a fluctuation relation to the thermodynamic irreversible work done on such a stochastic system. Inspection of equation (14) provides the critical coupling strength for which a non-vanishing solution to that equation appears…”

Section: The Sakaguchi Modelmentioning

confidence: 99%

Stochastic thermodynamics in many-particle systems

Imparato

2015

New J. Phys.

View full text Add to dashboard Cite

We study the thermodynamic properties of a microscopic model of coupled oscillators that exhibits a dynamical phase transition from a desynchronized to a synchronized phase. We consider two different configurations for the thermodynamic forces applied on the oscillators, one resembling the macroscopic power grids, and one resembling autonomous molecular motors. We characterize the input and the output power as well as the efficiency at maximum power, providing analytic expressions for such quantities near the critical coupling strength. We discuss the role of the quenched disorder in the thermodynamic force distributions and show that such a disorder may lead to an enhancement of the efficiency at maximum power.OPEN ACCESS RECEIVED exclusion process on a single lattice [8,25], or on a network [26]. In these studies, we found an increase of the EMP in a many-motor system with respect to the single motor case, for a suitable choice of the model parameters. Remarkably,in [8,25] we found that the enhancement of the EMP occurs in a range of parameter values compatible with the biological estimates for the molecular motor Kinesin. From those studies we concluded that after a dynamical phase transition the dynamical response of the system to an external drive can change, leading in turn to a change in the thermodynamic properties. Specifically the dependence of the delivered power on the driving thermodynamic forces may vary.One of the main limitation that one faces when studying the thermodynamic properties of exclusion processes on a lattice, is that the intensity of interaction between the motors can only be indirectly tuned by changing the kinetic parameters and thus the density of motors on the lattice [8,25,26]. Furthermore, if one wants to study the effect of force disorder on the motor particles, one has to resort to numerical simulations, as no exact result exists for the exclusion process with heterogeneous particles.Instead, here we consider a model of N interacting microscopic particles, where the particle-particle interaction is an explicit parameter, that can be tuned in order to drive a dynamical phase transition, from a weakly interacting-incoherent system to a strongly interacting-coherent system. This model was originally introduced by Sakaguchi in [27] as an extension of the Kuramoto model (KM) [28], to study the synchronization of a group of interacting oscillators in contact with a reservoir at constant temperature [29,30]. Furthermore, the effect of quenched disorder in the thermodynamic force distribution can be taken into account within the present model. The model is introduced and discussed in section 2. The N interacting particles can be viewed as a network of energy producers and users or as a system of interacting autonomous motors under the effect of thermodynamic forces. Since the dynamical phase diagram can be obtained in terms of the particle interaction strength, temperature and force distribution, in section 3 we will discuss how to calculate the relevant thermodynamic quantities, name...

show abstract

Collective dynamics from stochastic thermodynamics

Cited by 16 publications

References 38 publications

Stochastic thermodynamics of all-to-all interacting many-body systems

Stochastic thermodynamics of all-to-all interacting many-body systems

Thermodynamic uncertainty relation of interacting oscillators in synchrony

Stochastic thermodynamics in many-particle systems

Contact Info

Product

Resources

About