Analysis of the dynamics in linear chain models by means of Generalized Langevin equations
Abstract: We analyse the motion of one particle in a polymer chain. For this purpose, we use the framework of the exact (non-stationary) generalized Langevin equation that can be derived from first principles via the projection-operator method. Our focus lies on determining memory kernels from either exact expressions for autocorrelation functions or from simulation data. We increase the complexity of the underlying system starting out from one-dimensional harmonic chains and ending with a polymer driven through a polymer melt. Here, the displacement or the velocity of an individual particle in the chain serves as the observable. The central result is that the time-window in which the memory kernels show structure before they rapidly decay decreases with increasing complexity of the system
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Anmerkungen
-
Journal of statistical physics. - 191, 5 (2024) , 57, ISSN: 1572-9613
- Ereignis
-
Veröffentlichung
- (wo)
-
Freiburg
- (wer)
-
Universität
- (wann)
-
2024
- DOI
-
10.1007/s10955-024-03274-z
- URN
-
urn:nbn:de:bsz:25-freidok-2473923
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 11:00 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Koch, Fabian
- Mandal, Suvendu
- Schilling, Tanja
- Universität
Entstanden
- 2024
Ähnliche Objekte (12)
Analysis of the Dynamics in Linear Chain Models by means of Generalized Langevin Equations
Correlation functions and master equations of generalized (non-Markovian) Langevin equations
On the equivalence of time-convolutionless master equations and generalized Langevin equations
Homogenization for Generalized Langevin Equations with Applications to Anomalous Diffusion
Systems of generalized Sturm-Liouville and Langevin fractional differential equations
Generalized Langevin equations and memory effects in non-equilibrium statistical physics
The time-local view of non-equilibrium statistical mechanics, 2.. Generalized Langevin equations
Generalized langevin equations: a useful tool for the perplexed modeller of nonequilibrium fluctuations?
Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions
Boundedness and power-type decay of solutions for a class of generalized fractional Langevin equations
Tracer dynamics in polymer networks: generalized Langevin description
Vibrational spectroscopy via generalized langevin dynamics : applicability and beyond
Analysis of the Dynamics in Linear Chain Models by means of Generalized Langevin Equations
Correlation functions and master equations of generalized (non-Markovian) Langevin equations
On the equivalence of time-convolutionless master equations and generalized Langevin equations
Homogenization for Generalized Langevin Equations with Applications to Anomalous Diffusion
Systems of generalized Sturm-Liouville and Langevin fractional differential equations
Generalized Langevin equations and memory effects in non-equilibrium statistical physics
The time-local view of non-equilibrium statistical mechanics, 2.. Generalized Langevin equations
Generalized langevin equations: a useful tool for the perplexed modeller of nonequilibrium fluctuations?
Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions
Boundedness and power-type decay of solutions for a class of generalized fractional Langevin equations
Tracer dynamics in polymer networks: generalized Langevin description
Vibrational spectroscopy via generalized langevin dynamics : applicability and beyond
Analysis of the Dynamics in Linear Chain Models by means of Generalized Langevin Equations
Correlation functions and master equations of generalized (non-Markovian) Langevin equations
On the equivalence of time-convolutionless master equations and generalized Langevin equations
Homogenization for Generalized Langevin Equations with Applications to Anomalous Diffusion
Systems of generalized Sturm-Liouville and Langevin fractional differential equations
Generalized Langevin equations and memory effects in non-equilibrium statistical physics
The time-local view of non-equilibrium statistical mechanics, 2.. Generalized Langevin equations
Generalized langevin equations: a useful tool for the perplexed modeller of nonequilibrium fluctuations?
Generalized Sturm-Liouville and Langevin equations via Hadamard fractional derivatives with anti-periodic boundary conditions
Boundedness and power-type decay of solutions for a class of generalized fractional Langevin equations
Tracer dynamics in polymer networks: generalized Langevin description