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Optimality principles in nonequilibrium transport networks are linked to a thermodynamic formalism based on generalized transport potentials endowed with Legendre duality and related contact structure. This allows quantifying the distance…

Statistical Mechanics · Physics 2025-06-23 Amilcare Porporato , Shashank Kumar Anand , Salvatore Calabrese , Luca Ridolfi , Lamberto Rondoni

In living systems, collective molecular behavior is driven by thermodynamic forces in the form of chemical gradients. Leveraging recent advances in the field of nonequilibrium physics, I show that increasing the thermodynamic force alone…

Subcellular Processes · Quantitative Biology 2022-09-21 Milo M. Lin

We analyze the probability distribution for entropy production rates of trajectories evolving on a class of out-of-equilibrium kinetic networks. These networks can serve as simple models for driven dynamical systems, which are of particular…

Statistical Mechanics · Physics 2014-08-05 Suriyanarayanan Vaikuntanathan , Todd R. Gingrich , Phillip L. Geissler

Fluctuation theorems and the second law of thermodynamics are powerful relations constraining the behavior of out-of-equilibrium systems. While there exist generalizations of these relations to feedback controlled quantum systems, their…

Quantum Physics · Physics 2024-10-07 Kacper Prech , Patrick P. Potts

Heating and heat conduction in molecular junctions are considered within a general NEGF formalism. We obtain a unified description of heating in current carrying molecular junctions as well as the electron and phonon contributions to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Mark A. Ratner , Abraham Nitzan

We derive the nonequilibrium conductance matrix for open stationary Chemical Reaction Networks (CRNs) described by a deterministic mass action kinetic equation. As an illustration, we determine the nonequilibrium conductance matrix of a CRN…

Statistical Mechanics · Physics 2025-06-27 Paul Raux , Christophe Goupil , Gatien Verley

At the nanoscale, random effects govern not only the dynamics of a physical system but may also affect its observation. This work introduces a novel paradigm for coarse graining that eschews the assignment of a unique coarse-grained…

Statistical Mechanics · Physics 2026-02-05 Jann van der Meer , Keiji Saito

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

We characterize different cell states, related to cancer and ageing phenotypes, by a measure of entropy of network ensembles, integrating gene expression values and protein interaction networks. The entropy measure estimates the parameter…

Molecular Networks · Quantitative Biology 2013-05-24 G. Menichetti , G. Bianconi , E. Giampieri , G. Castellani , D. Remondini

The ubiquity of information transmission via molecular communication between cells is comprehensively documented on Earth; this phenomenon might even have played a vital role in the origin(s) and early evolution of life. Motivated by these…

Earth and Planetary Astrophysics · Physics 2024-01-26 Manasvi Lingam

Nature is rife with networks that are functionally optimized to propagate inputs in order to perform specific tasks. Whether via genetic evolution or dynamic adaptation, many networks create functionality by locally tuning interactions…

Soft Condensed Matter · Physics 2019-02-14 Jason W. Rocks , Henrik Ronellenfitsch , Andrea J. Liu , Sidney R. Nagel , Eleni Katifori

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations…

Statistical Mechanics · Physics 2016-12-21 Martin Luc Rosinberg , Jordan M. Horowitz

Controlling the direction and magnitude of both heat and electronic currents using rectifiers has significant implications for the advancement of molecular circuit design. In order to facilitate the implementation of new transport phenomena…

Mesoscale and Nanoscale Physics · Physics 2019-08-02 Galen T. Craven , Dahai He , Abraham Nitzan

Thermo-Kinetic relations bound thermodynamic quantities such as entropy production with statistics of dynamical observables. We introduce a Thermo-Kinetic Relation to bound the entropy production or the non-adiabatic (Hatano-Sasa, excess)…

Statistical Mechanics · Physics 2022-06-06 Jean-Charles Delvenne , Gianmaria Falasco

Topological protection has emerged as an organizing principle for understanding and engineering robust collective behavior in electronic and material systems. Recent work suggests that topology may also play a role in organizing stochastic…

Statistical Mechanics · Physics 2022-06-17 Pankaj Mehta , Jason Rocks

Living cells must control the reading out or "expression" of information encoded in their genomes, and this regulation often is mediated by transcription factors--proteins that bind to DNA and either enhance or repress the expression of…

Molecular Networks · Quantitative Biology 2013-08-01 Gašper Tkačik , Aleksandra M Walczak , William Bialek

Non-isolated systems have diverse coupling relations with the external environment. These relations generate complex thermodynamics and information transmission between the system and its environment. The framework depicted in the current…

Statistical Mechanics · Physics 2022-06-15 Yang Tian , Pei Sun

The metabolic networks are very well characterized for a large set of organisms, a unique case in within the large-scale biological networks. For this reason they provide a a very interesting framework for the construction of analytically…

Molecular Networks · Quantitative Biology 2007-05-23 Ginestra Bianconi , Riccardo Zecchina

In the paradigm of thermodynamic computing, instead of behaving deterministically, hardware undergoes a stochastic process in order to sample from a distribution of interest. While it has been hypothesized that thermodynamic computers may…

Living cells deploy many resources to sense their environments, including receptors, downstream signaling molecules, time and fuel. However, it is not known which resources fundamentally limit the precision of sensing, like weak links in a…

Molecular Networks · Quantitative Biology 2014-01-31 Christopher C. Govern , Pieter Rein ten Wolde