1,721,002 research outputs found
Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
No full textThe thermodynamic uncertainty relation bounds the amount
current fluctuations can be suppressed in terms of the dissipation in a mesoscopic system. By considering the fluctuations in the hysteresis of the current—the sum of the currents in the time-forward and time-reversed processes—we extend this relation to systems with broken time-reversal symmetry, either due to the presence of odd state variables, odd driving fields or due to explicit time-dependent driving that is time-reversal asymmetric. We illustrate our predictions on a dilute, weakly-interacting gas driven out of equilibrium by the slow compression of a piston and on a ballistic multi-terminal conductor with an external magnetic field
Stochastic impedance
No full textThe concept of impedance, which characterises the current response to a periodical driving, is introduced in the context of stochastic transport. In particular, we calculate the impedance for an exactly solvable model, namely the stochastic transport of particles through a single-level quantum dot.K. P. is a postdoctoral fellow of the Research Foundation-Flanders (FWO) under Grant n◦ 12J2819N. Valuable discussions and feedback from X-LAB, Ralf Eichhorn and Carlos E. Fiore are gratefully acknowledged
Finite-Time Landauer Principle
No full textWe study the thermodynamic cost associated with the erasure of one bit of information over a finite amount of time. We present a general framework for minimizing the average work required when full control of a system's microstates is possible. In addition to exact numerical results, we find simple bounds proportional to the variance of the microscopic distribution associated with the state of the bit. In the short-time limit, we get a closed expression for the minimum average amount of work needed to erase a bit. The average work associated with the optimal protocol can be up to a factor of 4 smaller relative to protocols constrained to end in local equilibrium. Assessing prior experimental and numerical results based on heuristic protocols, we find that our bounds often dissipate an order of magnitude less energy.Foundational Questions Institute FQXi-RFP-2019-IAF
Natural Sciences and Engineering Research Council of Canad
Optimal finite-time bit erasure under full control
No full textWe study the finite-time erasure of a one-bit memory consisting of a one-dimensional double-well potential, with each well encoding a memory macrostate. We focus on setups that provide full control over the form of the potential-energy landscape and derive protocols that minimize the average work needed to erase the bit over a fixed amount of time. We allow for cases where only some of the information encoded in the bit is erased. For systems required to end up in a local equilibrium state, we calculate the minimum amount of work needed to erase a bit explicitly, in terms of the equilibrium Boltzmann distribution corresponding to the system's initial potential. The minimum work is inversely proportional to the duration of the protocol. The erasure cost may be further reduced by relaxing the requirement for a local-equilibrium final state and allowing for any final distribution compatible with constraints on the probability to be in each memory macrostate. We also derive upper and lower bounds on the erasure cost
Erasing a majority-logic bit
No full textWe study finite-time bit erasure in the context of majority-logic decoding. In particular, we calculate the minimum amount of work needed to erase a majority-logic bit when one has full control over the system dynamics. We show that although a single unit bit is easier to erase in the slow-driving limit, the majority-logic bit in general outperforms the single unit bit in the fast-erasure limit. Our results also suggest optimal design principles for majority-logic bits under limited control
Relaxation-speed crossover in anharmonic potentials
Full text linkpeer reviewedERC- 2015-CoG Agreement No. 681456, FQXi-IAF19-0
Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
No full textWe introduce a model for a periodically driven electron pump that sequentially interacts with an arbitrary number of heat and particle reservoirs. Exact expressions for the thermodynamic fluxes, such as entropy production and particle flows are derived arbitrarily far from equilibrium. We use the present model to perform a comparative study of thermodynamic uncertainty relations that are valid for systems with time-periodic driving.CEF and PEH acknowledge the financial support from FAPESP under Grants No. 2018/02405-1 and 2017/24567-0, respectively.Proesmans, K (corresponding author), Simon Fraser Univ, 8888 Univ Dr, Burnaby, BC, Canada ; Hasselt Univ, B-3590 Diepenbeek, Belgium.
[email protected]
Large-deviation theory for a Brownian particle on a ring: a WKB approach
No full textInternational audienceWe study the large deviation function of the displacement of a Brownian particle confined on a ring. In the zero noise limit this large deviation function has a cusp at zero velocity given by the Freidlin–Wentzell theory. We develop a WKB approach to analyse how this cusp is rounded in the weak noise limit
Obtaining efficient thermal engines from interacting Brownian particles under time-periodic drivings
No full textWe introduce an alternative route for obtaining reliable cyclic engines, based on two interacting Brownian particles under time-periodic drivings which can be used as a work-to-work converter or a heat engine. Exact expressions for the thermodynamic fluxes, such as power and heat, are obtained using the framework of stochastic thermodynamic. We then use these exact expression to optimize the driving protocols with respect to output forces, their phase difference. For the work-to-work engine, they are solely expressed in terms of Onsager coefficients and their derivatives, whereas nonlinear effects start to play a role since the particles are at different temperatures. Our results suggest that stronger coupling generally leads to better performance, but careful design is needed to optimize the external forces. </p
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