25 citations · 99 across the 22 of their papers we have counts for
26 papers
Quantum instanton approach to metastable collective spin systems: Numerical implementation and applications
Maciej Chudak, Massimiliano Esposito, Krzysztof Ptaszynski
Driven-dissipative collective spin systems can host several long-lived metastable states; rare switching between them governs slow relaxation and first-order dissipative phase tran…
Transference principles for divergence sets of dispersive equations and their applications
Utsav Dewan
In this article, we study the fractal refinement of the Carleson's problem: (1) We introduce an equivalence relation on linear dispersive PDEs on based on the high…
Mutual linearity from classical response theory
Timur Aslyamov, Massimiliano Esposito
We unify known mutual-linearity relations for Markov jump processes and chemical reaction networks within a common framework based on classical finite-response theory. In a Markov…
Emergent Second Law for Time-Dependent Nonequilibrium States
Nahuel Freitas, Timur Aslyamov, Massimiliano Esposito
For nonautonomous open systems described by macroscopic stochastic thermodynamics, we derive an emergent second law that constrains time-dependent macroscopic fluctuations by the e…
Classification of instabilities for the nonideal Brusselator model
Premashis Kumar, Massimiliano Esposito, Timur Aslyamov
We investigate a nonideal, thermodynamically consistent Brusselator reaction-diffusion (RD) system that explicitly incorporates molecular interactions among species in both the dif…
Synchronization of thermodynamically consistent stochastic phase oscillators
Maciej Chudak, Massimiliano Esposito, Krzysztof Ptaszynski
We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among discrete phase states. For large , it ma…
Faradaic and capacitive charging of an electrolyte-filled pore in response to a small applied potential
Timur Aslyamov, Massimiliano Esposito, Mathijs Janssen
Electrochemical devices often charge both through Faradaic reactions and electric double layer formation. Here, we study these coupled processes in a model system of a long electro…
Macroscopic fluctuation-response theory and its use for gene regulatory networks
Timur Aslyamov, Krzysztof Ptaszyński, Massimiliano Esposito
Gaussian macroscopic fluctuation theory underpins the understanding of noise in a broad class of nonequilibrium systems. We derive exact fluctuation-response relations linking the…
Integrated covariances as excess observables weighted by currents and activities
Timur Aslyamov, Massimiliano Esposito
Near equilibrium, the symmetric part of the time-integrated steady-state covariance, i.e., the time integral of correlation functions, is governed by the fluctuation-dissipation th…
Macroscopic theory of multipartite correlations in permutation-invariant open quantum systems
Krzysztof Ptaszynski, Maciej Chudak, Massimiliano Esposito
Information-theoretic quantities have received significant attention as system-independent measures of correlations in many-body quantum systems, e.g., as universal order parameter…
Nonequilibrium fluctuation-response relations for state-current correlations
Krzysztof Ptaszynski, Timur Aslyamov, Massimiliano Esposito
Recently, novel exact identities known as Fluctuation-Response Relations (FRRs) have been derived for nonequilibrium steady states of Markov jump processes. These identities link t…
Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium
Krzysztof Ptaszynski, Massimiliano Esposito
Landau theory relates phase transitions to the minimization of the Landau functional (e.g., free energy functional), which is expressed as a power series of the order parameter. It…
Force-Free Molecular Dynamics Through Autoregressive Equivariant Networks
Fabian L. Thiemann, Thiago Reschützegger, Massimiliano Esposito +3
Molecular dynamics (MD) simulations play a crucial role in scientific research. Yet their computational cost often limits the timescales and system sizes that can be explored. Most…
Nonequilibrium fluctuation-response relations for state observables
Krzysztof Ptaszynski, Timur Aslyamov, Massimiliano Esposito
Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or t…
Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium
Krzysztof Ptaszynski, Massimiliano Esposito
In some models of nonequilibrium phase transitions, fluctuations of the analyzed currents have been observed to diverge with system size. To assess whether this behavior is univers…
Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
Timur Aslyamov, Krzysztof Ptaszyński, Massimiliano Esposito
In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-Response Relations (FRRs) that express the covariance between any pair of currents in terms of…
Dissipation enables robust extensive scaling of multipartite correlations
Krzysztof Ptaszynski, Massimiliano Esposito
We investigate the multipartite mutual information between discrete-state stochastic units interacting in a network that is invariant under unit permutations. We show that when…
Dynamical signatures of discontinuous phase transitions: How phase coexistence determines exponential versus power-law scaling
Krzysztof Ptaszynski, Massimiliano Esposito
There are conflicting reports in the literature regarding the finite-size scaling of the Liouvillian gap and dynamical fluctuations at discontinuous phase transitions, with various…
Dissipation bounds precision of current response to kinetic perturbations
Krzysztof Ptaszynski, Timur Aslyamov, Massimiliano Esposito
The precision of currents in Markov networks is bounded by dissipation via the so-called thermodynamic uncertainty relation (TUR). In our work, we demonstrate a similar inequality…
Quantum thermodynamics of the Caldeira-Leggett model with non-equilibrium Gaussian reservoirs
Vasco Cavina, Massimiliano Esposito
We introduce a non-equilibrium version of the Caldeira-Leggett model in which a quantum particle is strongly coupled to a set of engineered reservoirs. The reservoirs are composed…
Open-system eigenstate thermalization in a noninteracting integrable model
Krzysztof Ptaszynski, Massimiliano Esposito
Significant attention has been devoted to the problem of thermalization of observables in isolated quantum setups by individual eigenstates. Here, we address this issue from an ope…
Symmetry shapes thermodynamics of macroscopic quantum systems
Vasco Cavina, Ariane Soret, Timur Aslyamov +2
We derive a systematic approach to the thermodynamics of quantum systems based on the underlying symmetry groups. We show that the entropy of a system can be described in terms of…
General Theory of Static Response for Markov Jump Processes
Timur Aslyamov, Massimiliano Esposito
We consider Markov jump processes on a graph described by a rate matrix that depends on various control parameters. We derive explicit expressions for the static responses of edge…
Microscopic contributions to the entropy production at all times: From nonequilibrium steady states to global thermalization
Ayaka Usui, Krzysztof Ptaszyński, Massimiliano Esposito +1
Based on exact integration of the Schrödinger equation, we numerically study microscopic contributions to the entropy production for the single electron transistor, a paradigmatic…