activity
20212026
most citedDirect Route to Thermodynamic Uncertainty Relations and Their Saturation

59 citations · 223 across the 14 of their papers we have counts for

collaborators

14 papers

cond-mat.stat-mech2026

Thermal relaxation asymmetry persists under inertial effects

Cai Dieball, Aljaž Godec

Relaxation phenomena far from thermal equilibrium feature a rich phenomenology, including the thermal relaxation asymmetry. The latter states that heating occurs faster than coolin…

stat.ML2025

Permutation-Invariant Spectral Learning via Dyson Diffusion

Tassilo Schwarz, Cai Dieball, Constantin Kogler +4

Diffusion models are central to generative modeling and have been adapted to graphs by diffusing adjacency matrix representations. The challenge of having up to such represent…

cond-mat.stat-mech2025

Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics

Lars Torbjørn Stutzer, Cai Dieball, Aljaž Godec

Path-wise observables--functionals of stochastic trajectories--are at the heart of time-average statistical mechanics and are central to thermodynamic inequalities such as uncertai…

cond-mat.stat-mech2025

Thermodynamic correlation inequalities for finite times and transients

Cai Dieball, Aljaž Godec

Recently, a thermodynamic bound on correlation times was formulated in [A. Dechant, J. Garnier-Brun, S.-i. Sasa, Phys. Rev. Lett. 131, 167101 (2023)], showing how the decay of corr…

cond-mat.soft2024★ 4 cited

Precisely controlled colloids: A playground for path-wise non-equilibrium physics

Cai Dieball, Yasamin Mohebi Satalsari, Angel B. Zuccolotto-Bernezb +3

We investigate path-wise observables in experiments on driven colloids in a periodic light field to dissect selected intricate transport features, kinetics, and transition-path tim…

cond-mat.stat-mech2024★ 13 cited

Thermodynamic bounds on generalized transport: From single-molecule to bulk observables

Cai Dieball, Aljaž Godec

We prove that the transport of any differentiable scalar observable in -dimensional non-equilibrium systems is bounded from above by the total entropy production scaled by the a…

cond-mat.stat-mech2023★ 12 cited

Asymmetric Thermal Relaxation in Driven Systems: Rotations go Opposite Ways

Cai Dieball, Gerrit Wellecke, Aljaž Godec

It was predicted and recently experimentally confirmed that systems with microscopically reversible dynamics in locally quadratic potentials warm up faster than they cool down. Thi…

cond-mat.stat-mech2023★ 57 cited

Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways

Miguel Ibáñez, Cai Dieball, Antonio Lasanta +2

According to conventional wisdom, a system placed in an environment with a different temperature tends to relax to the temperature of the latter, mediated by the flows of heat and/…

cond-mat.stat-mech2022★ 5 cited

On correlations and fluctuations of time-averaged densities and currents with general time-dependence

Cai Dieball, Aljaž Godec

We present technical results required for the description and understanding of correlations and fluctuations of the empirical density and current as well as diverse time-integrated…

cond-mat.stat-mech2022★ 59 cited

Direct Route to Thermodynamic Uncertainty Relations and Their Saturation

Cai Dieball, Aljaž Godec

Thermodynamic uncertainty relations (TURs) bound the dissipation in non-equilibrium systems from below by fluctuations of an observed current. Contrasting the elaborate techniques…

cond-mat.stat-mech2022★ 4 cited

Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus

Cai Dieball, Aljaž Godec

The fluctuations of dynamical functionals such as the empirical density and current as well as heat, work and generalized currents in stochastic thermodynamics are usually studied…

cond-mat.stat-mech2022★ 23 cited

Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States

Cai Dieball, Aljaž Godec

We present the conceptual and technical background required to describe and understand the correlations and fluctuations of the empirical density and current of steady-state diffus…

cond-mat.stat-mech2021★ 19 cited

Scattering fingerprints of two-state dynamics

Cai Dieball, Diego Krapf, Matthias Weiss +1

Particle transport in complex environments such as the interior of living cells is often (transiently) non-Fickian or anomalous, that is, it deviates from the laws of Brownian moti…

cond-mat.stat-mech2021★ 27 cited

Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space

Cai Dieball, Aljaž Godec

We present general results on fluctuations and spatial correlations of the coarse-grained empirical density and current of Markovian diffusion in equilibrium or non-equilibrium ste…