TY  - JOUR
A1  - Abiuso, Paolo
A1  - Holubec, Viktor
A1  - Anders, Janet
A1  - Ye, Zhuolin
A1  - Cerisola, Federico
A1  - Perarnau-Llobet, Marti
T1  - Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
JF  - Journal of physics communications
N2  - We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. 
Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. 
The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. 
General principles of how to apply these geometric tools to identify optimal protocols are discussed. 
Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.
KW  - stochastic thermodynamics
KW  - thermodynamic control
KW  - thermodynamic length
KW  - overdamped brownian systems
Y1  - 2022
U6  - https://doi.org/10.1088/2399-6528/ac72f8
SN  - 2399-6528
VL  - 6
IS  - 6
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Dieterich, Peter
A1  - Klages, Rainer
A1  - Chechkin, Aleksei V.
T1  - Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations
JF  - New journal of physics : the open-access journal for physics
N2  - Anomalous dynamics characterized by non-Gaussian probability distributions (PDFs) and/or temporal long-range correlations can cause subtle modifications of conventional fluctuation relations (FRs). As prototypes we study three variants of a generic time-fractional Fokker-Planck equation with constant force. Type A generates superdiffusion, type B subdiffusion and type C both super-and subdiffusion depending on parameter variation. Furthermore type C obeys a fluctuation-dissipation relation whereas A and B do not. We calculate analytically the position PDFs for all three cases and explore numerically their strongly non-Gaussian shapes. While for type C we obtain the conventional transient work FR, type A and type B both yield deviations by featuring a coefficient that depends on time and by a nonlinear dependence on the work. We discuss possible applications of these types of dynamics and FRs to experiments.
KW  - fluctuation relations
KW  - anomalous diffusion
KW  - stochastic processes
KW  - stochastic thermodynamics
KW  - Fokker-Planck equations
Y1  - 2015
U6  - https://doi.org/10.1088/1367-2630/17/7/075004
SN  - 1367-2630
VL  - 17
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -