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Kenkre V, Spendier K. A theory of coalescence of signaling receptor clusters in immune cells. PHYSICA A 2022; 602:127650. [PMID: 35966144 PMCID: PMC9365117 DOI: 10.1016/j.physa.2022.127650] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/16/2023]
Abstract
A theory of coalescence of signal receptor clusters in mast cells is developed in close connection with experiments. It is based on general considerations involving a feedback procedure and a time-dependent capture as part of a reaction-diffusion process. Characteristic features of observations that need to be explained are indicated and it is shown why calculations available in the literature are not satisfactory. While the latter involves static centers at which the reaction part of the phenomenon occurs, by its very nature, coalescence involves dynamically evolving centers. This is so because the process continuously modifies the size of the cluster aggregate which then proceeds to capture more material. We develop a procedure that consists of first solving a static reaction-diffusion problem and then imbuing the center with changing size. The consequence is a dependence of the size of the signal receptor cluster aggregate on time. A preliminary comparison with experiment is shown to reveal a sharp difference between theory and data. The observation indicates that the reaction occurs slowly at first and then picks up rapidly as time proceeds. Parameter modification to fit the observations cannot solve the problem. We use this observation to build into the theory an accumulation rate that is itself dependent on time. A memory representation and its physical basis are explained. The consequence is a theory that can be fit to observations successfully.
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Affiliation(s)
- V.M. Kenkre
- Department of Physics and Astronomy, University of New Mexico, 210 Yale Blvd NE, Albuquerque, 87131, NM, USA
| | - K. Spendier
- Department of Physics and Energy Science and UCCS Center for the Biofrontiers Institute, University of Colorado Colorado Springs, 1420 Austin Bluffs Pkwy, Colorado Springs, 80918, CO, USA
- Corresponding author. (K. Spendier)
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Chorošajev V, Gelzinis A, Valkunas L, Abramavicius D. Dynamics of exciton-polaron transition in molecular assemblies: the variational approach. J Chem Phys 2015; 140:244108. [PMID: 24985619 DOI: 10.1063/1.4884275] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Dynamics of excitonic polaron formation in molecular systems coupled to an overdamped bath are investigated using the Dirac-Frenkel variational principle and Davydov D1 Ansatz. Using a two-site model system we show that a few qualitatively distinct relaxation regimes of an optically created exciton are possible, depending on the timescale of bath fluctuations. A slow bath always leads to adiabatic polaron formation. Non-adiabatic exciton self-trapping occurs when the system is strongly coupled to a fast bath. Weak coupling to such bath does not perturb the excitonic picture. The complex system-bath dynamics can then be mapped to an effective model where the resonant coupling between sites is quenched during relaxation. The timescale of the polaron formation can be defined by the timescale of resonant coupling quenching, and is found to directly correlate with the bath relaxation time.
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Affiliation(s)
- Vladimir Chorošajev
- Department of Theoretical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
| | - Andrius Gelzinis
- Department of Theoretical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
| | - Leonas Valkunas
- Department of Theoretical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
| | - Darius Abramavicius
- Department of Theoretical Physics, Faculty of Physics, Vilnius University, Sauletekio 9-III, 10222 Vilnius, Lithuania
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Lyra ML, Lima RPA. Wave-packet spreading dynamics under a noninstantaneous nonlinearity: self-trapping, defocusing, and focusing. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:057201. [PMID: 23004908 DOI: 10.1103/physreve.85.057201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2012] [Indexed: 06/01/2023]
Abstract
Special localized wave modes show up in several physical scenarios including BEC in optical lattices, nonlinear photonic crystals, and systems with strong electron-phonon interaction. These result from an underlying nonlinear contribution to the wave equation that is usually assumed to be instantaneous. Here we demonstrate that the relaxation process of the nonlinearity has a profound impact in the wave-packet dynamics and in the formation of localized modes. We illustrate this phenomenology by considering the one-electron wave packet spreading in a C60 buckball structure whose dynamics is governed by a discrete nonlinear Schrödinger equation with a Debye relaxation of the nonlinearity. We report the full phase diagram related to the spacial extension of the asymptotic wave packet and unveil a complex wave-packet dynamical behavior.
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Affiliation(s)
- Marcelo L Lyra
- Instituto de Física, Universidade Federal de Alagoas, Maceió, Brazil
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Yaltychenko OV, Kanarovskii EY, Gorinchoy NN. Influence of the electromagnetic field on the nonlinear electron localization dynamics in the nanocluster with two redox centers. SURFACE ENGINEERING AND APPLIED ELECTROCHEMISTRY 2010. [DOI: 10.3103/s1068375510060104] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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de Moura FABF, Gléria I, dos Santos IF, Lyra ML. Wave-packet dynamics in chains with delayed electronic nonlinear response. PHYSICAL REVIEW LETTERS 2009; 103:096401. [PMID: 19792813 DOI: 10.1103/physrevlett.103.096401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/08/2009] [Indexed: 05/28/2023]
Abstract
We study the dynamics of one electron wave packet in a chain with a nonadiabatic electron-phonon interaction. The electron-phonon coupling is taken into account in the time-dependent Schrödinger equation by a delayed cubic nonlinearity. In the limit of an adiabatic coupling, the self-trapping phenomenon occurs when the nonlinearity parameter exceeds a critical value of the order of the bandwidth. We show that a weaker nonlinearity is required to produce self-trapping in the regime of short delay times. However, this trend is reversed for slow nonlinear responses, resulting in a reentrant phase diagram. In slowly responding media, self-trapping only takes place for very strong nonlinearities.
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Affiliation(s)
- F A B F de Moura
- Instituto de Física, Universidade Federal de Alagoas, Maceió AL 57072-970, Brazil
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Yaltychenko OV, Kanarovskii EY. Dynamics of the nonstationary state of an electron in a dimer nanocluster. SURFACE ENGINEERING AND APPLIED ELECTROCHEMISTRY 2009. [DOI: 10.3103/s1068375509040097] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Allegrini P, Grigolini P, West BJ. Dynamical approach to Lévy processes. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 54:4760-4767. [PMID: 9965655 DOI: 10.1103/physreve.54.4760] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Salkola MI, Bishop AR, Kenkre VM, Raghavan S. Coupled spin-boson systems far from equilibrium. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:R12645-R12648. [PMID: 9985209 DOI: 10.1103/physrevb.54.r12645] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Datta PK, Kundu K. Time evolution of models described by a one-dimensional discrete nonlinear Schrödinger equation. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:14929-14936. [PMID: 9983286 DOI: 10.1103/physrevb.53.14929] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Raghavan S, Kenkre VM, Bishop AR, Salkola MI. Validity of the discrete nonlinear Schrödinger equation in the context of the fluorescence depolarization of a spin-boson system. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:8457-8463. [PMID: 9982348 DOI: 10.1103/physrevb.53.8457] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Szőcs V, Banǎcký P. Possibility of a quasiparticle localication at the dissipative dynamics of a nonlinear degenerate adiabatic dimer. Chem Phys 1996. [DOI: 10.1016/0301-0104(95)00449-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Effects of a quantum heat bath on the dynamics of a nonlinear subsystem: reduced density matrix approach. Chem Phys 1995. [DOI: 10.1016/0301-0104(95)00225-d] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Barvík I, Esser B, Schanz H. Nonlinearity and trapping in excitation transfer: Dimers and trimers. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:9377-9386. [PMID: 9979983 DOI: 10.1103/physrevb.52.9377] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Salkola MI, Bishop AR, Kenkre VM, Raghavan S. Coupled quasiparticle-boson systems: The semiclassical approximation and discrete nonlinear Schrödinger equation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:R3824-R3827. [PMID: 9981603 DOI: 10.1103/physrevb.52.r3824] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Interimpurity transfer in condensed media: Breakdown of coherent tunneling and conditions for the creation of localized states. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:13315-13326. [PMID: 9975523 DOI: 10.1103/physrevb.50.13315] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Soliton model of electron transfer in mixed-valence dimers and trimers. J STRUCT CHEM+ 1994. [DOI: 10.1007/bf02578109] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Kenkre VM, Kus M. Bifurcations in the quantum nonlinear dimer. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:5956-5961. [PMID: 10011571 DOI: 10.1103/physrevb.49.5956] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Andersen JD, Kenkre VM. Self-trapping and time evolution in some spatially extended quantum nonlinear systems: Exact solutions. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:11134-11142. [PMID: 10005247 DOI: 10.1103/physrevb.47.11134] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Kenkre VM, Kus M. Model calculations for the phenomenon of nonlinear trapping in molecular aggregates. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:13792-13798. [PMID: 10003440 DOI: 10.1103/physrevb.46.13792] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Vitali D, Bonci L, Mannella R, Grigolini P. Localization breakdown as a joint effect of nonlinear and quantum dissipation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:2285-2293. [PMID: 9907249 DOI: 10.1103/physreva.45.2285] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Grigolini P, Kenkre VM, Vitali D. Spin relaxation with bistable precession. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 44:1015-1021. [PMID: 9906051 DOI: 10.1103/physreva.44.1015] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Bonci L, Grigolini P, Mannella R, Trefán G, Vitali D. Statistical mechanics of a nonlinear relaxation process: Equilibrium properties. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:2624-2631. [PMID: 9905327 DOI: 10.1103/physreva.43.2624] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Vitali D, Grigolini P. Nonlinear effects in quantum dissipation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 42:7091-7106. [PMID: 9904024 DOI: 10.1103/physreva.42.7091] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Szöcs V, Baack P, Zajac A. Dependence of the steady state of a nonlinear degenerate molecular dimer on the character of dissipative coupling. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 42:737-741. [PMID: 9904082 DOI: 10.1103/physreva.42.737] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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Grigolini P, Mannella R, Roncaglia R, Vitali D. Quantum-mechanical dissipation: From the weak- to the strong-coupling limit. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 41:6625-6634. [PMID: 9903076 DOI: 10.1103/physreva.41.6625] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Grigolini P, Wu H, Kenkre VM. Brownian motion and finite-temperature effects in the discrete nonlinear Schrödinger equation: Analytic results for the nonadiabatic dimer. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:7045-7053. [PMID: 9991087 DOI: 10.1103/physrevb.40.7045] [Citation(s) in RCA: 33] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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