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Title:

Analysis of intracellular reaction diffusion systems ; Analyse intrazellulärer Reaktions-Diffusions Systeme ; The stochastic medium Calcium ; Das stochastische Medium Kalzium

Publisher:

Freie Universität Berlin Universitätsbibliothek, Garystr. 39, 14195 Berlin

Contributors:

Prof. Dr. Erwin Frey

Year of Publication:

2010-02-19

Document Type:

doc-type:doctoralThesis ; doc-type:Text

Language:

eng

Subjects:

ddc:530 ; 530 Physics ; 530 Physik ; intracellular Ca 2+ dynamics ; Ca 2+ puffs ; IP 3 receptor channel cluster ; stochastic dynamics ; 87.16.Ac ; 05.40.-a

ddc:530 ; 530 Physics ; 530 Physik ; intracellular Ca 2+ dynamics ; Ca 2+ puffs ; IP 3 receptor channel cluster ; stochastic dynamics ; 87.16.Ac ; 05.40.-a Minimize

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http://www.diss.fu-berlin.de/diss/content/main/leitlinien/nutzungsbedingungen.xml

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Title:

Crossover Scaling Functions and an Extended Minimal Subtraction Scheme

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A field theoretic renormalization group method is presented which is capable of dealing with crossover problems associated with a change in the upper critical dimension. The method leads to flow functions for the parameters and coupling constants of the model which depend on the set of parameters which characterize the fixed point landscape of t...

A field theoretic renormalization group method is presented which is capable of dealing with crossover problems associated with a change in the upper critical dimension. The method leads to flow functions for the parameters and coupling constants of the model which depend on the set of parameters which characterize the fixed point landscape of the underlying problem. Similar to Nelson's trajectory integral method any vertex function can be expressed as a line integral along a renormalization group trajectory, which in the field theoretic formulation are given by the characteristics of the corresponding Callan-Symanzik equation. The field theoretic renormalization automatically leads to a separation of the regular and singular parts of all crossover scaling functions. The method is exemplified for the crossover problem in magnetic phase transitions, percolation problems and quantum phase transitions. The broad applicability of the method is emphasized. 1 Introduction Systems in the vici. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-12

Source:

http://www.t30.physik.tu-muenchen.de/~frey/publist/dim_reg.ps

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Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

Rights:

Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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EPJ manuscript No. (will be inserted by the editor) Fluctuating semiflexible polymer ribbon constrained to a ring

EPJ manuscript No. (will be inserted by the editor) Fluctuating semiflexible polymer ribbon constrained to a ring Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-26

Source:

http://arxiv.org/pdf/0708.0111v2.pdf

http://arxiv.org/pdf/0708.0111v2.pdf Minimize

Document Type:

text

Language:

en

Rights:

Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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Title:

Absolute Value of the Elastic Plateau Modulus of Semiflexible Polymer Solutions

Author:

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. We calculate the storage modulus of a solution of semiflexible polymers in the plateau regime using a tube model that takes the effect of finite polymer length into account. For experimentally relevant parameters the result shows the previously obtained scaling behavior. Our calculation allows a prediction for the absolute value of the modulus...

. We calculate the storage modulus of a solution of semiflexible polymers in the plateau regime using a tube model that takes the effect of finite polymer length into account. For experimentally relevant parameters the result shows the previously obtained scaling behavior. Our calculation allows a prediction for the absolute value of the modulus which is found to be in good agreement with recent rheological measurements on F-actin solutions. PACS. 83.50.Fc Linear viscoelasticity -- 83.80.Lz Biological materials -- 87.45.-k Biomechanics, biorheology and biological fluid dynamics 1 Introduction Most of the concepts used to understand the viscoelastic properties of chemical and physical gels of flexible polymers [1] require the persistence length ` p [2] of the constituent polymers to be significantly smaller than other characteristic scales such as the filament length L, the distance between crosslinks or the width of reptation tubes [3]. This condition no longer holds for networks of . Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-11

Source:

http://www.t30.physik.tu-muenchen.de/~frey/publist/absolute_value.ps

http://www.t30.physik.tu-muenchen.de/~frey/publist/absolute_value.ps Minimize

Document Type:

text

Language:

en

DDC:

612 Human physiology *(computed)*

Rights:

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Title:

Brownian motion: a paradigm of soft matter and biological

Author:

Description:

Key words Brownian motion, fluctuations, biological physics, stochastic processes.

Key words Brownian motion, fluctuations, biological physics, stochastic processes. Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-26

Source:

http://arxiv.org/pdf/cond-mat/0502602v1.pdf

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Document Type:

text

Language:

en

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Title:

Crossover scaling functions and an extended minimal subtraction scheme ⋆

Author:

Description:

A field theoretic renormalization group method is presented which is capable of dealing with crossover problems associated with a change in the upper critical dimension. The method leads to flow functions for the parameters and coupling constants of the model which depend on the set of parameters which characterize the fixed point landscape of t...

A field theoretic renormalization group method is presented which is capable of dealing with crossover problems associated with a change in the upper critical dimension. The method leads to flow functions for the parameters and coupling constants of the model which depend on the set of parameters which characterize the fixed point landscape of the underlying problem. Similar to Nelson’s trajectory integral method any vertex function can be expressed as a line integral along a renormalization group trajectory, which in the field theoretic formulation are given by the characteristics of the corresponding Callan-Symanzik equation. The field theoretic renormalization automatically leads to a separation of the regular and singular parts of all crossover scaling functions. The method is exemplified for the crossover problem in magnetic phase transitions, percolation problems and quantum phase transitions. The broad applicability of the method is emphasized. 1 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-30

Source:

http://arxiv.org/pdf/cond-mat/9509110v1.pdf

http://arxiv.org/pdf/cond-mat/9509110v1.pdf Minimize

Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Title:

Dynamic Scattering from Semiflexible Polymers

Author:

Description:

Introduction 2 2 Wormlike chain model 5 3 Static structure factor 10 4 Critical comment on Gaussian models 12 5 Dynamics of semiflexible polymers in solution 15 5.1 Brief survey of the history . . . . . . . . . . . . . . . . . . . . 15 5.2 Introduction of the equation of motion . . . . . . . . . . . . . 16 5.3 Linear mode analysis . . . . . . . ...

Introduction 2 2 Wormlike chain model 5 3 Static structure factor 10 4 Critical comment on Gaussian models 12 5 Dynamics of semiflexible polymers in solution 15 5.1 Brief survey of the history . . . . . . . . . . . . . . . . . . . . 15 5.2 Introduction of the equation of motion . . . . . . . . . . . . . 16 5.3 Linear mode analysis . . . . . . . . . . . . . . . . . . . . . . . 21 5.4 Entanglement effects . . . . . . . . . . . . . . . . . . . . . . . 24 6 Dynamic structure factor 29 6.1 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 6.2 Initial decay (t ø ø q ) . . . . . . . . . . . . . . . . . . . . . . . 31 6.3 Stretched exponential decay (t AE ø q ) . . . . . . . . . . . . . . 35 6.4 Entanglement effects . . . . . . . . . . . . . . . . . . . . . . . 36 6.5 Polydispersity and clusters . . . . . . . . . . . . . . . . . . . . 38 6.6 Applications to biopolymers Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-12

Source:

http://www.physik.tu-muenchen.de:81/~kkroy/publist/dls_book.ps.gz

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Document Type:

text

Language:

en

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Title:

Title not available

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EPJ manuscript No. (will be inserted by the editor) Fluctuating semiflexible polymer ribbon constrained to a ring

EPJ manuscript No. (will be inserted by the editor) Fluctuating semiflexible polymer ribbon constrained to a ring Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-26

Source:

http://arxiv.org/pdf/0708.0111v1.pdf

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Document Type:

text

Language:

en

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Title:

Title not available

Author:

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Conformations of entangled semiflexible polymers: entropic trapping and transient non-equilibrium distributions

Conformations of entangled semiflexible polymers: entropic trapping and transient non-equilibrium distributions Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-27

Source:

http://arxiv.org/pdf/0908.0110v1.pdf

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Document Type:

text

Language:

en

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Title:

Evolutionary Game Theory: Theoretical Concepts and Applications to Microbial Communities

Author:

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Ecological systems are complex assemblies of large numbers of individuals, interacting competitively under multifaceted environmental conditions. Recent studies using microbial laboratory communities have revealed some of the self-organization principles underneath the complexity of these systems. A major role of the inherent stochasticity of it...

Ecological systems are complex assemblies of large numbers of individuals, interacting competitively under multifaceted environmental conditions. Recent studies using microbial laboratory communities have revealed some of the self-organization principles underneath the complexity of these systems. A major role of the inherent stochasticity of its dynamics and the spatial segregation of different interacting species into distinct patterns has thereby been established. It ensures viability of microbial colonies by allowing for species diversity, cooperative behavior and other kinds of “social ” behavior. A synthesis of evolutionary game theory, nonlinear dynamics, and the theory of stochastic processes provides the mathematical tools and conceptual framework for a deeper understanding of these ecological systems. We give an introduction into the modern formulation of these theories and illustrate their effectiveness focussing on selected examples of microbial Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-17

Source:

http://www.theorie.physik.uni-muenchen.de/lsfrey/publications/articles/evo_game_theory.pdf

http://www.theorie.physik.uni-muenchen.de/lsfrey/publications/articles/evo_game_theory.pdf Minimize

Document Type:

text

Language:

en

DDC:

501 Philosophy & theory *(computed)*

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