33 citations · 282 across the 28 of their papers we have counts for
31 papers
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…
Identifying Non-Ideal Reaction-Diffusion Systems Unable to Maintain Diffusion Out-of-Equilibrium
Francesco Avanzini, Timur Aslyamov, Massimiliano Esposito
We develop a general method, based on the construction of a kinetic potential serving as a Lyapunov function, to establish when diffusion necessarily equilibrates in non-ideal reac…
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…
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…
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…
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…
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…
Nonequilibrium Thermodynamics of Non-Ideal Reaction-Diffusion Systems: Implications for Active Self-Organization
Francesco Avanzini, Timur Aslyamov, Étienne Fodor +1
We develop a framework describing the dynamics and thermodynamics of open non-ideal reaction-diffusion systems, which embodies Flory-Huggins theories of mixtures and chemical react…
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…
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…
Nonequilibrium Response for Markov Jump Processes: Exact Results and Tight Bounds
Timur Aslyamov, Massimiliano Esposito
Generalizing response theory of open systems far from equilibrium is a central quest of nonequilibrium statistical physics. Using stochastic thermodynamics, we develop an algebraic…
Equivalent circuit and continuum modeling of the impedance of electrolyte-filled pores
Christian Pedersen, Timur Aslyamov, Mathijs Janssen
Batteries, supercapacitors, and several other electrochemical devices charge by accumulating ions in the pores of electrolyte-immersed porous electrodes. The charging of such devic…
Nonideal Reaction-Diffusion Systems: Multiple Routes to Instability
Timur Aslyamov, Francesco Avanzini, Étienne Fodor +1
We develop a general classification of the nature of the instabilities yielding spatial organization in open nonideal reaction-diffusion systems, based on linear stability analysis…
Analytical solution to the Poisson-Nernst-Planck equations for the charging of a long electrolyte-filled slit pore
Timur Aslyamov, Mathijs Janssen
We study the charging dynamics of a long electrolyte-filled slit pore in response to a suddenly applied potential. In particular, we analytically solve the Poisson-Nernst-Planck (P…
Electrolytes structure near electrodes with molecular size roughness
Timur Aslyamov, Konstantin Sinkov, Iskander Akhatov
Understanding the electrodes' surface morphology influence on the ions' distribution is essential for designing the supercapacitors with enhanced energy density characteristics. We…
Relation between charging times and storage properties of nanoporous supercapacitors
Timur Aslyamov, Konstantin Sinkov, Iskander Akhatov
Investigating the correlations between dynamic and static storage properties of nanoporous electrodes is beneficial for further progress of supercapacitors-based technologies. Whil…
Environmentally friendly method of silicon recycling: synthesis of silica nanoparticles in an aqueous solution
J. V. Bondareva, T. F. Aslyamov, A. G. Kvashnin +11
Future decades will experience tons of silicon waste from various sources, with no reliable recycling route. The transformation of bulk silicon into SiO2 nanoparticles is environme…
Disjoining pressure oscillations causing height discretization in graphene nanobubbles
Timur Aslyamov, Ekaterina Khestanova, Maria Korneva +3
Recent experiments and computer simulations observe various geometrical formations of nanobubbles in van der Waals heterostructures. Among the well studied dome and tent geometries…
Model of graphene nanobubble: combining classical density functional and elasticity theories
T. F. Aslyamov, E. S. Iakovlev, I. Sh. Akhatov +1
A graphene nanobubble consists of a graphene sheet, an atomically flat substrate and a substance enclosed between them. Unlike conventional confinement with rigid walls and a fixed…