English
Related papers

Related papers: Chemical System Complexity and Bifurcation Point: …

200 papers

It is shown that the partial temperatures of a homogeneous multicomponent gas mixture in the thermodynamical equilibrium cannot be equal to each other. New general solutions for equilibrium distribution functions of the multicomponent…

Statistical Mechanics · Physics 2007-05-23 Yurii M. Loskutov

We build a rigorous nonequilibrium thermodynamic description for open chemical reaction networks of elementary reactions. Their dynamics is described by deterministic rate equations satisfying mass action law. Our most general framework…

Statistical Mechanics · Physics 2017-01-13 Riccardo Rao , Massimiliano Esposito

Compartmentalised biochemical reactions are a ubiquitous building block of biological systems. The interplay between chemical and compartmental dynamics can drive rich and complex dynamical behaviors that are difficult to analyse…

Molecular Networks · Quantitative Biology 2023-06-16 Tommaso Bianucci , Christoph Zechner

Complex systems are characterized by specific time-dependent interactions among their many constituents. As a consequence they often manifest rich, non-trivial and unexpected behavior. Examples arise both in the physical and non-physical…

Physics and Society · Physics 2018-11-21 Yurij Holovatch , Ralph Kenna , Stefan Thurner

Thermodynamics analysis of oxidation-reduction reactions between metal melt and slag (1) provides answers to certain practical issues such as the path of specific chemical reactions, final (equilibrium) phase composition, and the elements…

Materials Science · Physics 2018-10-25 Michael Zinigrad

The goal of this paper is the identification of the physical processes at the origin of the nonlinear behavior of a plasma conductor when an external constraint gradually departs the system from thermal equilibrium. This reveals the…

Pattern Formation and Solitons · Physics 2007-08-31 E. Lozneanu , S. Popescu , M. Sanduloviciu

Laboratory experiments play a key role in deciphering the chemistry of the interstellar medium (ISM) and the role that product complex organic molecules (COMs) may play in the origins of life. However, to date, most studies in experimental…

Earth and Planetary Astrophysics · Physics 2022-01-26 Nigel J. Mason , Perry A. Hailey , Duncan V. Mifsud , James S. Urquhart

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

Chemical Physics · Physics 2013-10-16 Asaf Farhi

We numerically and analytically investigate the behavior of a non-equilibrium phase transition in the second Schl\"ogl autocatalytic reaction scheme. Our model incorporates both an interaction-induced phase separation and a bifurcation in…

Statistical Mechanics · Physics 2023-11-02 Reda Tiani , Uwe C. Täuber

Dissipative particle dynamics (DPD) is a relatively new technique which has proved successful in the simulation of complex fluids. We caution that for the equilibrium achieved by the DPD simulation of a simple fluid the temperature depends…

Statistical Mechanics · Physics 2009-10-30 C. A. Marsh , J. M. Yeomans

Energy level statistics of a bounded quantum system, whose classical dynamical system exhibits bifurcations, is investigated using the two-point correlation function (TPCL), which at the bifurcation points exhibits periodic spike…

Chaotic Dynamics · Physics 2022-08-30 Hironori Makino

The network of biochemical reactions inside living organisms is characterized by an overwhelming complexity which stems from the sheer number of reactions and from the complicated topology of biochemical cycles. However the high speed of…

Biological Physics · Physics 2009-10-30 Edoardo Milotti , Alessio Del Fabbro , Roberto Chignola

In this work we show that the systems of balance equations (balance systems) of continuum thermodynamics occupy a natural place in the variational bicomplex formalism. We apply the vertical homotopy decomposition to get a local splitting…

Mathematical Physics · Physics 2011-07-12 Serge Preston

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

Quantifying the stability of an equilibrium is central in the theory of dynamical systems as well as in engineering and control. A comprehensive picture must include the response to both small and large perturbations, leading to the…

Adaptation and Self-Organizing Systems · Physics 2023-03-08 Philipp C. Böttcher , Benjamin Schäfer , Stefan Kettemann , Carsten Agert , Dirk Witthaut

The quantitative convergence to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks with mass action kinetics is studied by using the so-called entropy method. In the first part of the paper,…

Analysis of PDEs · Mathematics 2016-11-11 Laurent Desvillettes , Klemens Fellner , Bao Quoc Tang

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

Statistical Mechanics · Physics 2016-04-11 Gianmaria Falasco , Marco Baiesi

Thermodynamic uncertainty relations elucidate the intricate balance between the precision of current and the thermodynamic costs or dissipation, marking a recent and enthralling advancement at the confluence of statistical mechanics,…

Statistical Mechanics · Physics 2024-06-04 Ryohei Yuno , Katsuaki Tanabe

We investigate the nonequilibrium stationary states of systems consisting of chemical reactions among molecules of several chemical species. To this end we introduce and develop a stochastic formulation of nonequilibrium thermodynamics of…

Statistical Mechanics · Physics 2018-07-04 Tânia Tomé , Mário J. de Oliveira